Matlab中所有自定义的函数

Functions

By Category | Alphabetical List

Language Fundamentals

Entering Commands

ans	Most recent answer
clc	Clear Command Window
diary	Save Command Window text to file
format	Set display format for output
home	Send cursor home
iskeyword	Determine whether input is MATLAB keyword
more	Control paged output for Command Window

Matrices and Arrays

Array Creation and Concatenation

accumarray	Construct array with accumulation
blkdiag	Construct block diagonal matrix from input arguments
diag	Get diagonal elements or create diagonal matrix
eye	Identity matrix
false	Logical 0 (false)
freqspace	Frequency spacing for frequency response
linspace	Generate linearly spaced vectors
logspace	Generate logarithmically spaced vectors
meshgrid	Rectangular grid in 2-D and 3-D space
ndgrid	Rectangular grid in N-D space
ones	Create array of all ones
rand	Uniformly distributed pseudorandom numbers
true	Logical 1 (true)
zeros	Create array of all zeros
cat	Concatenate arrays along specified dimension
horzcat	Concatenate arrays horizontally
vertcat	Concatenate arrays vertically

Indexing

colon	Create vectors, array subscripting, and for-loop iterators
end	Terminate block of code, or indicate last array index
ind2sub	Subscripts from linear index
sub2ind	Convert subscripts to linear indices

Array Dimensions

length	Length of vector or largest array dimension
ndims	Number of array dimensions
numel	Number of array elements
size	Array dimensions
height	Number of table rows
width	Number of table variables
iscolumn	Determine whether input is column vector
isempty	Determine whether array is empty
ismatrix	Determine whether input is matrix
isrow	Determine whether input is row vector
isscalar	Determine whether input is scalar
isvector	Determine whether input is vector

Sorting and Reshaping Arrays

blkdiag	Construct block diagonal matrix from input arguments
circshift	Shift array circularly
ctranspose	Complex conjugate transpose
diag	Get diagonal elements or create diagonal matrix
flip	Flip order of elements
fliplr	Flip array left to right
flipud	Flip array up to down
ipermute	Inverse permute dimensions of N-D array
permute	Rearrange dimensions of N-D array
repmat	Replicate and tile array
reshape	Reshape array
rot90	Rotate array 90 degrees
shiftdim	Shift dimensions
issorted	Determine whether set elements are in sorted order
sort	Sort array elements
sortrows	Sort array rows
squeeze	Remove singleton dimensions
transpose	Transpose
vectorize	Vectorize expression

Operators and Elementary Operations

Arithmetic

plus	Addition
uplus	Unary plus
minus	Subtraction
uminus	Unary minus
times	Element-wise multiplication
rdivide	Right array division
ldivide	Left array division
power	Element-wise power
mtimes	Matrix Multiplication
mrdivide	Solve systems of linear equations xA = B for x
mldivide	Solve systems of linear equations Ax = B for x
mpower	Matrix power
cumprod	Cumulative product
cumsum	Cumulative sum
diff	Differences and Approximate Derivatives
prod	Product of array elements
sum	Sum of array elements
ceil	Round toward positive infinity
fix	Round toward zero
floor	Round toward negative infinity
idivide	Integer division with rounding option
mod	Modulus after division
rem	Remainder after division
round	Round to nearest integer

Relational Operations

Relational Operators	Relational operations
eq	Determine equality
ge	Determine greater than or equal to
gt	Determine greater than
le	Determine less than or equal to
lt	Determine less than
ne	Determine inequality
isequal	Determine array equality
isequaln	Determine array equality, treating NaN values as equal

Logical Operations

Logical Operators: Short-circuit	Logical operations with short-circuiting
and	Find logical AND
not	Find logical NOT
or	Find logical OR
xor	Logical exclusive-OR
all	Determine if all array elements are nonzero or true
any	Determine if any array elements are nonzero
false	Logical 0 (false)
find	Find indices and values of nonzero elements
islogical	Determine if input is logical array
logical	Convert numeric values to logicals
true	Logical 1 (true)

Set Operations

intersect	Set intersection of two arrays
ismember	Array elements that are members of set array
issorted	Determine whether set elements are in sorted order
setdiff	Set difference of two arrays
setxor	Set exclusive OR of two arrays
union	Set union of two arrays
unique	Unique values in array
join	Merge two tables by matching up rows using key variables
innerjoin	Inner join between two tables
outerjoin	Outer join between two tables

Bit-Wise Operations

bitand	Bit-wise AND
bitcmp	Bit-wise complement
bitget	Get bit at specified position
bitor	Bit-wise OR
bitset	Set bit at specific location
bitshift	Shift bits specified number of places
bitxor	Bit-wise XOR
swapbytes	Swap byte ordering

Special Characters

Special Characters	Special characters
colon	Create vectors, array subscripting, and for-loop iterators

Data Types

Numeric Types

double	Convert to double precision
single	Convert to single precision
int8	Convert to 8-bit signed integer
int16	Convert to 16-bit signed integer
int32	Convert to 32-bit signed integer
int64	Convert to 64-bit signed integer
uint8	Convert to 8-bit unsigned integer
uint16	Convert to 16-bit unsigned integer
uint32	Convert to 32-bit unsigned integer
uint64	Convert to 64-bit unsigned integer
cast	Cast variable to different data type
typecast	Convert data types without changing underlying data
isinteger	Determine if input is integer array
isfloat	Determine if input is floating-point array
isnumeric	Determine if input is numeric array
isreal	Determine if array is real
isfinite	Array elements that are finite
isinf	Array elements that are infinite
isnan	Array elements that are NaN
eps	Floating-point relative accuracy
flintmax	Largest consecutive integer in floating-point format
Inf	Infinity
intmax	Largest value of specified integer type
intmin	Smallest value of specified integer type
NaN	Not-a-Number
realmax	Largest positive floating-point number
realmin	Smallest positive normalized floating-point number

Characters and Strings

Create and Concatenate Strings

blanks	Create string of blank characters
cellstr	Create cell array of strings from character array
char	Convert to character array (string)
iscellstr	Determine whether input is cell array of strings
ischar	Determine whether item is character array
sprintf	Format data into string
strcat	Concatenate strings horizontally
strjoin	Join strings in cell array into single string

Parse Strings

ischar	Determine whether item is character array
isletter	Array elements that are alphabetic letters
isspace	Array elements that are space characters
isstrprop	Determine whether string is of specified category
sscanf	Read formatted data from string
strfind	Find one string within another
strrep	Find and replace substring
strsplit	Split string at specified delimiter
strtok	Selected parts of string
validatestring	Check validity of text string
symvar	Determine symbolic variables in expression
regexp	Match regular expression (case sensitive)
regexpi	Match regular expression (case insensitive)
regexprep	Replace string using regular expression
regexptranslate	Translate string into regular expression

Compare Strings

strcmp	Compare strings with case sensitivity
strcmpi	Compare strings (case insensitive)
strncmp	Compare first n characters of strings (case sensitive)
strncmpi	Compare first n characters of strings (case insensitive)

Change String Case, Blanks, and Justification

blanks	Create string of blank characters
deblank	Strip trailing blanks from end of string
strtrim	Remove leading and trailing white space from string
lower	Convert string to lowercase
upper	Convert string to uppercase
strjust	Justify character array

Categorical Arrays

categorical	Create categorical array
iscategorical	Determine whether input is categorical array
categories	Categories of categorical array
iscategory	Test for categorical array categories
isordinal	Determine whether input is ordinal categorical array
isprotected	Determine whether categories of categorical array are protected
addcats	Add categories to categorical array
mergecats	Merge categories in categorical array
removecats	Remove categories from categorical array
renamecats	Rename categories in categorical array
reordercats	Reorder categories in categorical array
summary	Print summary of table or categorical array
countcats	Count occurrences of categorical array elements by category
isundefined	Find undefined elements in categorical array

Tables

table	Create table from workspace variables
array2table	Convert homogeneous array to table
cell2table	Convert cell array to table
struct2table	Convert structure array to table
table2array	Convert table to homogenous array
table2cell	Convert table to cell array
table2struct	Convert table to structure array
readtable	Create table from file
writetable	Write table to file
istable	Determine whether input is table
height	Number of table rows
width	Number of table variables
summary	Print summary of table or categorical array
intersect	Set intersection of two arrays
ismember	Array elements that are members of set array
setdiff	Set difference of two arrays
setxor	Set exclusive OR of two arrays
unique	Unique values in array
union	Set union of two arrays
join	Merge two tables by matching up rows using key variables
innerjoin	Inner join between two tables
outerjoin	Outer join between two tables
sortrows	Sort array rows
stack	Stack data from multiple variables into single variable
unstack	Unstack data from single variable into multiple variables
ismissing	Find table elements with missing values
standardizeMissing	Insert missing value indicators into table
varfun	Apply function to table variables
rowfun	Apply function to table rows

Structures

struct	Create structure array
fieldnames	Field names of structure, or public fields of object
getfield	Field of structure array
isfield	Determine whether input is structure array field
isstruct	Determine whether input is structure array
orderfields	Order fields of structure array
rmfield	Remove fields from structure
setfield	Assign values to structure array field
arrayfun	Apply function to each element of array
structfun	Apply function to each field of scalar structure
table2struct	Convert table to structure array
struct2table	Convert structure array to table
cell2struct	Convert cell array to structure array
struct2cell	Convert structure to cell array

Cell Arrays

cell	Create cell array
cell2mat	Convert cell array to numeric array
cell2struct	Convert cell array to structure array
cell2table	Convert cell array to table
celldisp	Display cell array contents
cellfun	Apply function to each cell in cell array
cellplot	Graphically display structure of cell array
cellstr	Create cell array of strings from character array
iscell	Determine whether input is cell array
iscellstr	Determine whether input is cell array of strings
mat2cell	Convert array to cell array with potentially different sized cells
num2cell	Convert array to cell array with consistently sized cells
strjoin	Join strings in cell array into single string
strsplit	Split string at specified delimiter
struct2cell	Convert structure to cell array
table2cell	Convert table to cell array

Function Handles

function_handle (@)	Handle used in calling functions indirectly
feval	Evaluate function
func2str	Construct function name string from function handle
str2func	Construct function handle from function name string
localfunctions	Function handles to all local functions in MATLAB file
functions	Information about function handle

Map Containers

containers.Map	Map values to unique keys
isKey	Determine if containers.Map object contains key
keys	Identify keys of containers.Map object
remove	Remove key-value pairs from containers.Map object
values	Identify values in containers.Map object

Time Series

Time Series Basics

append	Concatenate time series objects in time dimension
get	Query timeseries object property values
getdatasamplesize	Size of data sample in timeseries object
getqualitydesc	Data quality descriptions
getsamples	Subset of time series samples using subscripted index array
plot	Plot time series
set	Set properties of timeseries object
tsdata.event	Construct event object for timeseries object
timeseries	Create timeseries object

Data Manipulation

addsample	Add data sample to timeseries object
ctranspose	Transpose timeseries object
delsample	Remove sample from timeseries object
detrend	Subtract mean or best-fit line and all NaNs from timeseries object
filter	Shape frequency content of time-series
getabstime	Extract date-string time vector into cell array
getinterpmethod	Interpolation method for timeseries object
getsampleusingtime	Extract data samples into new timeseries object
idealfilter	Apply ideal (noncausal) filter to timeseries object
resample	Select or interpolate timeseries data using new time vector
setabstime	Set times of timeseries object as date strings
setinterpmethod	Set default interpolation method for timeseries object
synchronize	Synchronize and resample two timeseries objects using common time vector
transpose	Transpose timeseries object

Event Data

addevent	Add event to timeseries object
delevent	Remove tsdata.event objects from timeseries object
gettsafteratevent	New timeseries object with samples occurring at or after event
gettsafterevent	New timeseries object with samples occurring after event
gettsatevent	New timeseries object with samples occurring at event
gettsbeforeatevent	New timeseries object with samples occurring before or at event
gettsbeforeevent	New timeseries object with samples occurring before event
gettsbetweenevents	New timeseries object with samples occurring between events

Descriptive Statistics

iqr	Interquartile range of timeseries data
max	Maximum value of timeseries data
mean	Mean value of timeseries data
median	Median value of timeseries data
min	Minimum value of timeseries data
std	Standard deviation of timeseries data
sum	Sum of timeseries data
var	Variance of timeseries data

Time Series Collections

get (tscollection)	Query tscollection object property values
isempty (tscollection)	Determine whether tscollection object is empty
length (tscollection)	Length of time vector
plot	Plot time series
set (tscollection)	Set properties of tscollection object
size (tscollection)	Size of tscollection object
tscollection	Create tscollection object
addsampletocollection	Add sample to tscollection object
addts	Add timeseries object to tscollection object
delsamplefromcollection	Remove sample from tscollection object
getabstime (tscollection)	Extract date-string time vector into cell array
getsampleusingtime (tscollection)	Extract data samples into new tscollection object
gettimeseriesnames	Cell array of names of timeseries objects in tscollection object
horzcat (tscollection)	Horizontal concatenation for tscollection objects
removets	Remove timeseries objects from tscollection object
resample (tscollection)	Select or interpolate data in tscollection using new time vector
setabstime (tscollection)	Set times of tscollection object as date strings
settimeseriesnames	Change name of timeseries object in tscollection
vertcat (tscollection)	Vertical concatenation for tscollection objects

Data Type Identification

is*	Detect state
isa	Determine if input is object of specified class
iscategorical	Determine whether input is categorical array
iscell	Determine whether input is cell array
iscellstr	Determine whether input is cell array of strings
ischar	Determine whether item is character array
isfield	Determine whether input is structure array field
isfloat	Determine if input is floating-point array
ishghandle	True for Handle Graphics object handles
isinteger	Determine if input is integer array
isjava	Determine if input is Java object
islogical	Determine if input is logical array
isnumeric	Determine if input is numeric array
isobject	Determine if input is MATLAB object
isreal	Determine if array is real
isscalar	Determine whether input is scalar
isstr	Determine whether input is character array
isstruct	Determine whether input is structure array
istable	Determine whether input is table
isvector	Determine whether input is vector
class	Determine class of object
validateattributes	Check validity of array
whos	List variables in workspace, with sizes and types

Data Type Conversion

char	Convert to character array (string)
int2str	Convert integer to string
mat2str	Convert matrix to string
num2str	Convert number to string
str2double	Convert string to double-precision value
str2num	Convert string to number
native2unicode	Convert numeric bytes to Unicode character representation
unicode2native	Convert Unicode character representation to numeric bytes
base2dec	Convert base N number string to decimal number
bin2dec	Convert binary number string to decimal number
dec2base	Convert decimal to base N number in string
dec2bin	Convert decimal to binary number in string
dec2hex	Convert decimal to hexadecimal number in string
hex2dec	Convert hexadecimal number string to decimal number
hex2num	Convert hexadecimal number string to double-precision number
num2hex	Convert singles and doubles to IEEE hexadecimal strings
table2array	Convert table to homogenous array
table2cell	Convert table to cell array
table2struct	Convert table to structure array
array2table	Convert homogeneous array to table
cell2table	Convert cell array to table
struct2table	Convert structure array to table
cell2mat	Convert cell array to numeric array
cell2struct	Convert cell array to structure array
cellstr	Create cell array of strings from character array
mat2cell	Convert array to cell array with potentially different sized cells
num2cell	Convert array to cell array with consistently sized cells
struct2cell	Convert structure to cell array

Dates and Time

datenum	Convert date and time to serial date number
datevec	Convert date and time to vector of components
datestr	Convert date and time to string format
now	Current date and time as serial date number
clock	Current date and time as date vector
date	Current date string
calendar	Calendar for specified month
eomday	Last day of month
weekday	Day of week
addtodate	Modify date number by field
etime	Time elapsed between date vectors

Mathematics

Elementary Math

Arithmetic

plus	Addition
uplus	Unary plus
minus	Subtraction
uminus	Unary minus
times	Element-wise multiplication
rdivide	Right array division
ldivide	Left array division
power	Element-wise power
mtimes	Matrix Multiplication
mrdivide	Solve systems of linear equations xA = B for x
mldivide	Solve systems of linear equations Ax = B for x
mpower	Matrix power
cumprod	Cumulative product
cumsum	Cumulative sum
diff	Differences and Approximate Derivatives
prod	Product of array elements
sum	Sum of array elements
ceil	Round toward positive infinity
fix	Round toward zero
floor	Round toward negative infinity
idivide	Integer division with rounding option
mod	Modulus after division
rem	Remainder after division
round	Round to nearest integer

Trigonometry

sin	Sine of argument in radians
sind	Sine of argument in degrees
asin	Inverse sine in radians
asind	Inverse sine in degrees
sinh	Hyperbolic sine of argument in radians
asinh	Inverse hyperbolic sine
cos	Cosine of argument in radians
cosd	Cosine of argument in degrees
acos	Inverse cosine in radians
acosd	Inverse cosine in degrees
cosh	Hyperbolic cosine
acosh	Inverse hyperbolic cosine
tan	Tangent of argument in radians
tand	Tangent of argument in degrees
atan	Inverse tangent in radians
atand	Inverse tangent in degrees
atan2	Four-quadrant inverse tangent
atan2d	Four-quadrant inverse tangent in degrees
tanh	Hyperbolic tangent
atanh	Inverse hyperbolic tangent
csc	Cosecant of input angle in radians
cscd	Cosecant of argument in degrees
acsc	Inverse cosecant in radians
acscd	Inverse cosecant in degrees
csch	Hyperbolic cosecant
acsch	Inverse hyperbolic cosecant
sec	Secant of angle in radians
secd	Secant of argument in degrees
asec	Inverse secant in radians
asecd	Inverse secant in degrees
sech	Hyperbolic secant
asech	Inverse hyperbolic secant
cot	Cotangent of angle in radians
cotd	Cotangent of argument in degrees
acot	Inverse cotangent in radians
acotd	Inverse cotangent in degrees
coth	Hyperbolic cotangent
acoth	Inverse hyperbolic cotangent
hypot	Square root of sum of squares

Exponents and Logarithms

exp	Exponential
expm1	Compute exp(x)-1 accurately for small values of x
log	Natural logarithm
log10	Common (base 10) logarithm
log1p	Compute log(1+x) accurately for small values of x
log2	Base 2 logarithm and dissect floating-point numbers into exponent and mantissa
nextpow2	Exponent of next higher power of 2
nthroot	Real nth root of real numbers
pow2	Base 2 power and scale floating-point numbers
reallog	Natural logarithm for nonnegative real arrays
realpow	Array power for real-only output
realsqrt	Square root for nonnegative real arrays
sqrt	Square root

Complex Numbers

abs	Absolute value and complex magnitude
angle	Phase angle
complex	Create complex array
conj	Complex conjugate
cplxpair	Sort complex numbers into complex conjugate pairs
i	Imaginary unit
imag	Imaginary part of complex number
isreal	Determine if array is real
j	Imaginary unit
real	Real part of complex number
sign	Signum function
unwrap	Correct phase angles to produce smoother phase plots

Discrete Math

factor	Prime factors
factorial	Factorial of input
gcd	Greatest common divisor
isprime	Determine which array elements are prime
lcm	Least common multiple
nchoosek	Binomial coefficient or all combinations
perms	All possible permutations
primes	Prime numbers less than or equal to input value
rat	Rational fraction approximation
rats	Rational output

Polynomials

poly	Polynomial with specified roots
polyder	Polynomial derivative
polyeig	Polynomial eigenvalue problem
polyfit	Polynomial curve fitting
polyint	Integrate polynomial analytically
polyval	Polynomial evaluation
polyvalm	Matrix polynomial evaluation
residue	Convert between partial fraction expansion and polynomial coefficients
roots	Polynomial roots

Special Functions

airy	Airy Functions
besselh	Bessel function of third kind (Hankel function)
besseli	Modified Bessel function of first kind
besselj	Bessel function of first kind
besselk	Modified Bessel function of second kind
bessely	Bessel function of second kind
beta	Beta function
betainc	Incomplete beta function
betaincinv	Beta inverse cumulative distribution function
betaln	Logarithm of beta function
ellipj	Jacobi elliptic functions
ellipke	Complete elliptic integrals of first and second kind
erf	Error function
erfc	Complementary error function
erfcinv	Inverse complementary error function
erfcx	Scaled complementary error function
erfinv	Inverse error function
expint	Exponential integral
gamma	Gamma function
gammainc	Incomplete gamma function
gammaincinv	Inverse incomplete gamma function
gammaln	Logarithm of gamma function
legendre	Associated Legendre functions
psi	Psi (polygamma) function

Cartesian Coordinate System Conversion

cart2pol	Transform Cartesian coordinates to polar or cylindrical
cart2sph	Transform Cartesian coordinates to spherical
pol2cart	Transform polar or cylindrical coordinates to Cartesian
sph2cart	Transform spherical coordinates to Cartesian

Constants and Test Matrices

eps	Floating-point relative accuracy
flintmax	Largest consecutive integer in floating-point format
i	Imaginary unit
j	Imaginary unit
Inf	Infinity
pi	Ratio of circle's circumference to its diameter
NaN	Not-a-Number
isfinite	Array elements that are finite
isinf	Array elements that are infinite
isnan	Array elements that are NaN
compan	Companion matrix
gallery	Test matrices
hadamard	Hadamard matrix
hankel	Hankel matrix
hilb	Hilbert matrix
invhilb	Inverse of Hilbert matrix
magic	Magic square
pascal	Pascal matrix
rosser	Classic symmetric eigenvalue test problem
toeplitz	Toeplitz matrix
vander	Vandermonde matrix
wilkinson	Wilkinson's eigenvalue test matrix

Linear Algebra

Matrix Operations

cross	Cross product
dot	Dot product
kron	Kronecker tensor product
surfnorm	Compute and display 3-D surface normals
tril	Lower triangular part of matrix
triu	Upper triangular part of matrix
transpose	Transpose

Linear Equations

cond	Condition number with respect to inversion
condest	1-norm condition number estimate
funm	Evaluate general matrix function
inv	Matrix inverse
linsolve	Solve linear system of equations
lscov	Least-squares solution in presence of known covariance
lsqnonneg	Solve nonnegative least-squares constraints problem
pinv	Moore-Penrose pseudoinverse of matrix
rcond	Reciprocal condition number
sylvester	Solve Sylvester equation AX + XB = C for X
mldivide	Solve systems of linear equations Ax = B for x
mrdivide	Solve systems of linear equations xA = B for x

Matrix Decomposition

chol	Cholesky factorization
ichol	Incomplete Cholesky factorization
cholupdate	Rank 1 update to Cholesky factorization
ilu	Sparse incomplete LU factorization
lu	LU matrix factorization
qr	Orthogonal-triangular decomposition
qrdelete	Remove column or row from QR factorization
qrinsert	Insert column or row into QR factorization
qrupdate	Rank 1 update to QR factorization
planerot	Givens plane rotation
ldl	Block LDL' factorization for Hermitian indefinite matrices
cdf2rdf	Convert complex diagonal form to real block diagonal form
rsf2csf	Convert real Schur form to complex Schur form
gsvd	Generalized singular value decomposition
svd	Singular value decomposition

Eigenvalues and Singular Values

balance	Diagonal scaling to improve eigenvalue accuracy
cdf2rdf	Convert complex diagonal form to real block diagonal form
condeig	Condition number with respect to eigenvalues
eig	Eigenvalues and eigenvectors
eigs	Largest eigenvalues and eigenvectors of matrix
gsvd	Generalized singular value decomposition
hess	Hessenberg form of matrix
ordeig	Eigenvalues of quasitriangular matrices
ordqz	Reorder eigenvalues in QZ factorization
ordschur	Reorder eigenvalues in Schur factorization
poly	Polynomial with specified roots
polyeig	Polynomial eigenvalue problem
qz	QZ factorization for generalized eigenvalues
rsf2csf	Convert real Schur form to complex Schur form
schur	Schur decomposition
sqrtm	Matrix square root
ss2tf	Convert state-space filter parameters to transfer function form
svd	Singular value decomposition
svds	Find singular values and vectors

Matrix Analysis

bandwidth	Lower and upper matrix bandwidth
cond	Condition number with respect to inversion
condeig	Condition number with respect to eigenvalues
det	Matrix determinant
isbanded	Determine if matrix is within specific bandwidth
isdiag	Determine if matrix is diagonal
ishermitian	Determine if matrix is Hermitian or skew-Hermitian
issymmetric	Determine if matrix is symmetric or skew-symmetric
istril	Determine if matrix is lower triangular
istriu	Determine if matrix is upper triangular
norm	Vector and matrix norms
normest	2-norm estimate
null	Null space
orth	Orthonormal basis for range of matrix
rank	Rank of matrix
rcond	Reciprocal condition number
rref	Reduced row echelon form
subspace	Angle between two subspaces
trace	Sum of diagonal elements

Matrix Functions

expm	Matrix exponential
logm	Matrix logarithm
sqrtm	Matrix square root
bsxfun	Apply element-by-element binary operation to two arrays with singleton expansion enabled
arrayfun	Apply function to each element of array
accumarray	Construct array with accumulation
mpower	Matrix power

Statistics and Random Numbers

Descriptive Statistics

corrcoef	Correlation coefficients
cov	Covariance matrix
max	Largest elements in array
mean	Average or mean value of array
median	Median value of array
min	Smallest elements in array
mode	Most frequent values in array
std	Standard deviation
var	Variance

Random Number Generation

rand	Uniformly distributed pseudorandom numbers
randn	Normally distributed pseudorandom numbers
randi	Uniformly distributed pseudorandom integers
randperm	Random permutation
rng	Control random number generation
RandStream	Random number stream

Interpolation

1-D Interpolation

interp1	1-D data interpolation (table lookup)
griddedInterpolant	Gridded data interpolation
pchip	Piecewise Cubic Hermite Interpolating Polynomial (PCHIP)
spline	Cubic spline data interpolation
ppval	Evaluate piecewise polynomial
mkpp	Make piecewise polynomial
unmkpp	Piecewise polynomial details
padecoef	Padé approximation of time delays
interpft	1-D interpolation using FFT method

Gridded Data Interpolation

interp2	Interpolation for 2-D gridded data in meshgrid format
interp3	Interpolation for 3-D gridded data in meshgrid format
interpn	Interpolation for 1-D, 2-D, 3-D, and N-D gridded data in ndgrid format
griddedInterpolant	Gridded data interpolation
ndgrid	Rectangular grid in N-D space
meshgrid	Rectangular grid in 2-D and 3-D space

Scattered Data Interpolation

griddata	Interpolate scattered data
griddatan	Data gridding and hypersurface fitting (dimension ≥ 2)
scatteredInterpolant	Scattered data interpolation

Optimization

fminbnd	Find minimum of single-variable function on fixed interval
fminsearch	Find minimum of unconstrained multivariable function using derivative-free method
fzero	Root of nonlinear function
lsqnonneg	Solve nonnegative least-squares constraints problem
optimget	Optimization options values
optimset	Create or edit optimization options structure

Numerical Integration and Differential Equations

Ordinary Differential Equations

ode45	Solve nonstiff differential equations; medium order method
ode15s	Solve stiff differential equations and DAEs; variable order method
ode23	Solve nonstiff differential equations; low order method
ode113	Solve nonstiff differential equations; variable order method
ode23t	Solve moderately stiff ODEs and DAEs; trapezoidal rule
ode23tb	Solve stiff differential equations; low order method
ode23s	Solve stiff differential equations; low order method
ode15i	Solve fully implicit differential equations, variable order method
decic	Compute consistent initial conditions for ode15i
odextend	Extend solution of initial value problem for ordinary differential equation
odeget	Ordinary differential equation options parameters
odeset	Create or alter options structure for ordinary differential equation solvers
deval	Evaluate solution of differential equation problem

Boundary Value Problems

bvp4c	Solve boundary value problems for ordinary differential equations
bvp5c	Solve boundary value problems for ordinary differential equations
bvpinit	Form initial guess for BVP solvers
bvpxtend	Form guess structure for extending boundary value solutions
bvpget	Extract properties from options structure created with bvpset
bvpset	Create or alter options structure of boundary value problem
deval	Evaluate solution of differential equation problem

Delay Differential Equations

dde23	Solve delay differential equations (DDEs) with constant delays
ddesd	Solve delay differential equations (DDEs) with general delays
ddensd	Solve delay differential equations (DDEs) of neutral type
ddeget	Extract properties from delay differential equations options structure
ddeset	Create or alter delay differential equations options structure
deval	Evaluate solution of differential equation problem

Partial Differential Equations

pdepe	Solve initial-boundary value problems for parabolic-elliptic PDEs in 1-D
pdeval	Evaluate numerical solution of PDE using output of pdepe

Numerical Integration and Differentiation

integral	Numerically evaluate integral
integral2	Numerically evaluate double integral
integral3	Numerically evaluate triple integral
quadgk	Numerically evaluate integral, adaptive Gauss-Kronrod quadrature
quad2d	Numerically evaluate double integral, tiled method
cumtrapz	Cumulative trapezoidal numerical integration
trapz	Trapezoidal numerical integration
polyint	Integrate polynomial analytically
del2	Discrete Laplacian
diff	Differences and Approximate Derivatives
gradient	Numerical gradient
polyder	Polynomial derivative

Fourier Analysis and Filtering

abs	Absolute value and complex magnitude
angle	Phase angle
cplxpair	Sort complex numbers into complex conjugate pairs
fft	Fast Fourier transform
fft2	2-D fast Fourier transform
fftn	N-D fast Fourier transform
fftshift	Shift zero-frequency component to center of spectrum
fftw	Interface to FFTW library run-time algorithm tuning control
ifft	Inverse fast Fourier transform
ifft2	2-D inverse fast Fourier transform
ifftn	N-D inverse fast Fourier transform
ifftshift	Inverse FFT shift
nextpow2	Exponent of next higher power of 2
unwrap	Correct phase angles to produce smoother phase plots
conv	Convolution and polynomial multiplication
conv2	2-D convolution
convn	N-D convolution
deconv	Deconvolution and polynomial division
detrend	Remove linear trends
filter	1-D digital filter
filter2	2-D digital filter

Sparse Matrices

Sparse Matrix Creation

spdiags	Extract and create sparse band and diagonal matrices
speye	Sparse identity matrix
sprand	Sparse uniformly distributed random matrix
sprandn	Sparse normally distributed random matrix
sprandsym	Sparse symmetric random matrix
sparse	Create sparse matrix
spconvert	Import matrix from sparse matrix external format

Sparse Matrix Manipulation

issparse	Determine whether input is sparse
nnz	Number of nonzero matrix elements
nonzeros	Nonzero matrix elements
nzmax	Amount of storage allocated for nonzero matrix elements
spalloc	Allocate space for sparse matrix
spfun	Apply function to nonzero sparse matrix elements
spones	Replace nonzero sparse matrix elements with ones
spparms	Set parameters for sparse matrix routines
spy	Visualize sparsity pattern
find	Find indices and values of nonzero elements
full	Convert sparse matrix to full matrix

Reordering Algorithms

amd	Approximate minimum degree permutation
colamd	Column approximate minimum degree permutation
colperm	Sparse column permutation based on nonzero count
dmperm	Dulmage-Mendelsohn decomposition
randperm	Random permutation
symamd	Symmetric approximate minimum degree permutation
symrcm	Sparse reverse Cuthill-McKee ordering

Sparse Linear Algebra

condest	1-norm condition number estimate
eigs	Largest eigenvalues and eigenvectors of matrix
ichol	Incomplete Cholesky factorization
ilu	Sparse incomplete LU factorization
normest	2-norm estimate
spaugment	Form least squares augmented system
sprank	Structural rank
svds	Find singular values and vectors

Linear Equations (Iterative Methods)

bicg	Biconjugate gradients method
bicgstab	Biconjugate gradients stabilized method
bicgstabl	Biconjugate gradients stabilized (l) method
cgs	Conjugate gradients squared method
gmres	Generalized minimum residual method (with restarts)
lsqr	LSQR method
minres	Minimum residual method
pcg	Preconditioned conjugate gradients method
qmr	Quasi-minimal residual method
symmlq	Symmetric LQ method
tfqmr	Transpose-free quasi-minimal residual method

Graph and Tree Algorithms

etree	Elimination tree
etreeplot	Plot elimination tree
gplot	Plot nodes and links representing adjacency matrix
symbfact	Symbolic factorization analysis
treelayout	Lay out tree or forest
treeplot	Plot picture of tree
unmesh	Convert edge matrix to coordinate and Laplacian matrices

Computational Geometry

Triangulation Representation

triangulation	Triangulation in 2-D or 3-D
tetramesh	Tetrahedron mesh plot
trimesh	Triangular mesh plot
triplot	2-D triangular plot
trisurf	Triangular surface plot

Delaunay Triangulation

delaunayTriangulation	Delaunay triangulation in 2-D and 3-D
delaunay	Delaunay triangulation
delaunayn	N-D Delaunay triangulation
tetramesh	Tetrahedron mesh plot
trimesh	Triangular mesh plot
triplot	2-D triangular plot
trisurf	Triangular surface plot

Spatial Search

triangulation	Triangulation in 2-D or 3-D
delaunayTriangulation	Delaunay triangulation in 2-D and 3-D
dsearchn	N-D nearest point search
tsearchn	N-D closest simplex search
delaunay	Delaunay triangulation
delaunayn	N-D Delaunay triangulation

Convex Hull

convhull	Convex hull
convhulln	N-D convex hull
patch	Create one or more filled polygons
trisurf	Triangular surface plot

Voronoi Diagram

patch	Create one or more filled polygons
voronoi	Voronoi diagram
voronoin	N-D Voronoi diagram

Elementary Polygons

polyarea	Area of polygon
inpolygon	Points inside polygonal region
rectint	Rectangle intersection area

Graphics

2-D and 3-D Plots

Line Plots

plot	2-D line plot
plotyy	2-D line plots with y-axes on both left and right side
plot3	3-D line plot
loglog	Log-log scale plot
semilogx	Semilogarithmic plot
semilogy	Semilogarithmic plot
errorbar	Plot error bars along curve
fplot	Plot function between specified limits
ezplot	Easy-to-use function plotter
ezplot3	Easy-to-use 3-D parametric curve plotter
LineSpec (Line Specification)	Line specification string syntax
ColorSpec (Color Specification)	Color specification

Pie Charts, Bar Plots, and Histograms

bar	Bar graph
bar3	Plot 3-D bar graph
barh	Plot bar graph horizontally
bar3h	Plot horizontal 3-D bar graph
hist	Histogram plot
histc	Histogram bin count
rose	Angle histogram plot
pareto	Pareto chart
area	Filled area 2-D plot
pie	Pie chart
pie3	3-D pie chart

Discrete Data Plots

stem	Plot discrete sequence data
stairs	Stairstep graph
stem3	Plot 3-D discrete sequence data
scatter	Scatter plot
scatter3	3-D scatter plot
spy	Visualize sparsity pattern
plotmatrix	Scatter plot matrix

Polar Plots

polar	Polar coordinate plot
rose	Angle histogram plot
compass	Plot arrows emanating from origin
ezpolar	Easy-to-use polar coordinate plotter
LineSpec (Line Specification)	Line specification string syntax
ColorSpec (Color Specification)	Color specification

Contour Plots

contour	Contour plot of matrix
contourf	Filled 2-D contour plot
contourc	Low-level contour plot computation
contour3	3-D contour plot
contourslice	Draw contours in volume slice planes
ezcontour	Easy-to-use contour plotter
ezcontourf	Easy-to-use filled contour plotter

Vector Fields

feather	Plot velocity vectors
quiver	Quiver or velocity plot
compass	Plot arrows emanating from origin
quiver3	3-D quiver or velocity plot
streamslice	Plot streamlines in slice planes
streamline	Plot streamlines from 2-D or 3-D vector data

Surfaces, Volumes, and Polygons

Surface and Mesh Plots

surf	3-D shaded surface plot
surfc	Contour plot under a 3-D shaded surface plot
surface	Create surface object
surfl	Surface plot with colormap-based lighting
surfnorm	Compute and display 3-D surface normals
mesh	Mesh plot
meshc	Plot a contour graph under mesh graph
meshz	Plot a curtain around mesh plot
waterfall	Waterfall plot
ribbon	Ribbon plot
contour3	3-D contour plot
peaks	Example function of two variables
cylinder	Generate cylinder
ellipsoid	Generate ellipsoid
sphere	Generate sphere
pcolor	Pseudocolor (checkerboard) plot
surf2patch	Convert surface data to patch data
ezsurf	Easy-to-use 3-D colored surface plotter
ezsurfc	Easy-to-use combination surface/contour plotter
ezmesh	Easy-to-use 3-D mesh plotter
ezmeshc	Easy-to-use combination mesh/contour plotter

Volume Visualization

contourslice	Draw contours in volume slice planes
flow	Simple function of three variables
isocaps	Compute isosurface end-cap geometry
isocolors	Calculate isosurface and patch colors
isonormals	Compute normals of isosurface vertices
isosurface	Extract isosurface data from volume data
reducepatch	Reduce number of patch faces
reducevolume	Reduce number of elements in volume data set
shrinkfaces	Reduce size of patch faces
slice	Volumetric slice plot
smooth3	Smooth 3-D data
subvolume	Extract subset of volume data set
volumebounds	Coordinate and color limits for volume data
coneplot	Plot velocity vectors as cones in 3-D vector field
curl	Compute curl and angular velocity of vector field
divergence	Compute divergence of vector field
interpstreamspeed	Interpolate stream-line vertices from flow speed
stream2	Compute 2-D streamline data
stream3	Compute 3-D streamline data
streamline	Plot streamlines from 2-D or 3-D vector data
streamparticles	Plot stream particles
streamribbon	3-D stream ribbon plot from vector volume data
streamslice	Plot streamlines in slice planes
streamtube	Create 3-D stream tube plot

Polygons

fill	Filled 2-D polygons
fill3	Filled 3-D polygons
patch	Create one or more filled polygons
surf2patch	Convert surface data to patch data

Animation

movie	Play recorded movie frames
noanimate	Change EraseMode of all objects to normal
drawnow	Update figure window and execute pending callbacks
refreshdata	Refresh data in graph when data source is specified
frame2im	Return image data associated with movie frame
getframe	Capture movie frame
im2frame	Convert image to movie frame
comet	2-D comet plot
comet3	3-D comet plot

Formatting and Annotation

Titles and Labels

title	Add title to current axes
xlabel	Label x-axis
ylabel	Label y-axis
zlabel	Label z-axis
clabel	Contour plot elevation labels
datetick	Date formatted tick labels
texlabel	Format text into TeX string
legend	Graph legend for lines and patches
colorbar	Colorbar showing color scale

Coordinate System

xlim	Set or query x-axis limits
ylim	Set or query y-axis limits
zlim	Set or query z-axis limits
box	Axes border
grid	Grid lines for 2-D and 3-D plots
daspect	Set or query axes data aspect ratio
pbaspect	Set or query plot box aspect ratio
axes	Create axes graphics object
axis	Axis scaling and appearance
subplot	Create axes in tiled positions
hold	Retain current graph when adding new graphs
gca	Current axes handle
cla	Clear current axes

Annotation

annotation	Create annotation objects
text	Create text object in current axes
legend	Graph legend for lines and patches
title	Add title to current axes
xlabel	Label x-axis
ylabel	Label y-axis
zlabel	Label z-axis
datacursormode	Enable, disable, and manage interactive data cursor mode
ginput	Graphical input from mouse or cursor
gtext	Mouse placement of text in 2-D view

Colormaps

colormap	Set and get current colormap
colormapeditor	Open colormap editor
colorbar	Colorbar showing color scale
brighten	Brighten or darken colormap
contrast	Grayscale colormap for contrast enhancement
shading	Set color shading properties
graymon	Set default figure properties for grayscale monitors
caxis	Color axis scaling
hsv2rgb	Convert HSV colormap to RGB colormap
rgb2hsv	Convert RGB colormap to HSV colormap
rgbplot	Plot colormap
spinmap	Spin colormap
colordef	Set default property values to display different color schemes
whitebg	Change axes background color

Data Exploration

hidden	Remove hidden lines from mesh plot
pan	Pan view of graph interactively
reset	Reset graphics object properties to their defaults
rotate	Rotate object about specified origin and direction
rotate3d	Rotate 3-D view using mouse
selectmoveresize	Select, move, resize, or copy axes and uicontrol graphics objects
zoom	Turn zooming on or off or magnify by factorMagnify by a factor
datacursormode	Enable, disable, and manage interactive data cursor mode
figurepalette	Show or hide Figure Palette
plotbrowser	Show or hide figure Plot Browser
plotedit	Interactively edit and annotate plots
plottools	Show or hide plot tools
propertyeditor	Show or hide Property Editor
showplottool	Show or hide figure plot tool

Data Brushing

brush	Interactively mark, delete, modify, and save observations in graphs
datacursormode	Enable, disable, and manage interactive data cursor mode
linkdata	Automatically update graphs when variables change
refreshdata	Refresh data in graph when data source is specified

3-D Scene Control

Camera Views

view	Viewpoint specification
makehgtform	Create 4-by-4 transform matrix
viewmtx	View transformation matrices
cameratoolbar	Control camera toolbar programmatically
campan	Rotate camera target around camera position
camzoom	Zoom in and out on scene
camdolly	Move camera position and target
camlookat	Position camera to view object or group of objects
camorbit	Rotate camera position around camera target
campos	Set or query camera position
camproj	Set or query projection type
camroll	Rotate camera about view axis
camtarget	Set or query location of camera target
camup	Set or query camera up vector
camva	Set or query camera view angle

Lighting and Transparency

camlight	Create or move light object in camera coordinates
light	Create light object
lightangle	Create or position light object in spherical coordinates
lighting	Specify lighting algorithm
diffuse	Calculate diffuse reflectance
material	Control reflectance properties of surfaces and patches
specular	Calculate specular reflectance
alim	Set or query axes alpha limits
alpha	Set transparency properties for objects in current axes
alphamap	Specify figure alphamap (transparency)

Images

Image File Operations

image	Display image object
imagesc	Scale data and display image object
imread	Read image from graphics file
imwrite	Write image to graphics file
imfinfo	Information about graphics file
imformats	Manage image file format registry
frame2im	Return image data associated with movie frame
im2frame	Convert image to movie frame
im2java	Convert image to Java image

Modifying Images

ind2rgb	Convert indexed image to RGB image
rgb2ind	Convert RGB image to indexed image
imapprox	Approximate indexed image by reducing number of colors
dither	Convert image, increasing apparent color resolution by dithering
cmpermute	Rearrange colors in colormap
cmunique	Eliminate duplicate colors in colormap; convert grayscale or truecolor image to indexed image

Printing and Exporting

print	Print figure or save to file
printopt	Configure printer defaults
printdlg	Print dialog box
printpreview	Preview figure to print
orient	Hardcopy paper orientation
savefig	Save figure to FIG-file
openfig	Open new copy or raise existing copy of saved figure
hgexport	Export figure
hgsave	Save Handle Graphics object hierarchy to file
hgload	Load Handle Graphics object hierarchy from file
saveas	Save figure or Simulink block diagram using specified format

Graphics Objects

Graphics Object Identification

gca	Current axes handle
gcf	Current figure handle
gcbf	Handle of figure containing object whose callback is executing
gcbo	Handle of object whose callback is executing
gco	Handle of current object
ancestor	Ancestor of graphics object
allchild	Find all children of specified objects
findall	Find all graphics objects
findfigs	Find visible offscreen figures
findobj	Locate graphics objects with specific properties
gobjects	Create array of graphics handles
ishghandle	True for Handle Graphics object handles
ishandle	Test for valid graphics or Java object handle
copyobj	Copy graphics objects and their descendants
delete	Remove files or objects
get	Query Handle Graphics object properties
set	Set Handle Graphics object properties
propedit	Open Property Editor

Core Objects

root object	Root
figure	Create figure graphics object
axes	Create axes graphics object
image	Display image object
light	Create light object
line	Create line object
patch	Create one or more filled polygons
rectangle	Create 2-D rectangle object
surface	Create surface object
text	Create text object in current axes

Annotation Objects

annotation

Create annotation objects

Plot Objects

set	Set Handle Graphics object properties
get	Query Handle Graphics object properties

Group Objects

hggroup	Create hggroup object
hgtransform	Create hgtransform graphics object
makehgtform	Create 4-by-4 transform matrix

Figure Windows

figure	Create figure graphics object
gcf	Current figure handle
close	Remove specified figure
clf	Clear current figure window
refresh	Redraw current figure
newplot	Determine where to draw graphics objects
shg	Show most recent graph window
closereq	Default figure close request function
dragrect	Drag rectangles with mouse
drawnow	Update figure window and execute pending callbacks
rbbox	Create rubberband box for area selection
opengl	Control OpenGL rendering

Axes Property Operations

axes	Create axes graphics object
hold	Retain current graph when adding new graphs
ishold	Current hold state
newplot	Determine where to draw graphics objects

Object Property Operations

linkaxes	Synchronize limits of specified 2-D axes
linkprop	Keep same value for corresponding properties of graphics objects
refreshdata	Refresh data in graph when data source is specified
waitfor	Block execution and wait for event or condition
get	Query Handle Graphics object properties
set	Set Handle Graphics object properties

Programming Scripts and Functions

Control Flow

if, elseif, else	Execute statements if condition is true
for	Execute statements specified number of times
parfor	Parallel for loop
switch, case, otherwise	Switch among several cases based on expression
try, catch	Execute statements and catch resulting errors
while	Repeatedly execute statements while condition is true
break	Terminate execution of for or while loop
continue	Pass control to next iteration of for or while loop
end	Terminate block of code, or indicate last array index
pause	Halt execution temporarily
return	Return to invoking function

Scripts

edit	Edit or create file
input	Request user input
publish	Generate view of MATLAB file in specified format
notebook	Open MATLAB Notebook in Microsoft Word software (on Microsoft Windows platforms)
grabcode	Extract MATLAB code from file published to HTML
snapnow	Force snapshot of image for inclusion in published document

Functions

Function Basics

function

Declare function name, inputs, and outputs

Input and Output Arguments

nargin	Number of function input arguments
nargout	Number of function output arguments