* Linear Algebra
o MTL, the Matrix Template Library. Dense and sparse matrices and vectors; banded, symmetric, triangular matrices; basic algorithms. C++.
矩阵模版库,紧密和稀疏矩阵、矢量,带状,对称、三角矩阵,基本算法(C++语言)
o uBLAS, BLAS in C++ with expression templates.
表达式模版形式的 C++中的BLAS ,
o tvmet, a C++ library for "tiny" vectors and matrices with expression templates.
小型矢量和矩阵的表达式模版
o GMM++, generic C++ template library for sparse, dense and skyline matrices, with solvers from ITL.
o MET, a C++ matrix library with expression templates, which eliminates the overhead of overloaded operators.
o SL++, the Scientific Library project. Will provide matrices, random numbers, complex, quaternions, plotting, and FFTs. C++.
科学计算库,提供矩阵、随机数、复数、四元数,快速复利叶变换(C++语言)
o Seldon, C++ library for linear algebra with BLAS interface. Many matrix types (sparse, symmetric, hermitian, etc.) are supported.
BLAS 线性代数接口,支持 稀疏,对称,共轭矩阵
o ALP, linear and polynomial algebra. Vectors, matrices, polynomials.
o SVMT: E. Robert Tisdale's proposal for a standard C++ Scalar, Vector, Matrix and Tensor Class Library (with implementation). Note: this is a proposal, not an official standard.
o GNUSSL [ftp only], the GNU Scientific Software Library. Linear algebra and arrays. C++.
o CPPLapack, C++ wrapper for BLAS and LAPACK.
o Lapack++, C++ wrapper for BLAS and LAPACK.
o IML++ A C++ template library for numerical iterative methods.
o MV++ Numerical Matrix/Vector Classes in C++
o SparseLib++ A library for sparse matrix computations, including the Sparse BLAS (Basic Linear Algebra Subprograms). C++.
o ISIS++, an object-oriented framework for solving sparse linear systems of equations. C++.
o ARPACK++, a C++ template library for solving large-scale standard and generalized eigenvalue problems.
o The Template Numerical Toolkit (TNT) for linear algebra is a successor to the Lapack++, Sparselib++, IML++, and MV++ packages. Its goal is to integrate these ideas into a generic algorithmic library, supporting generic user-defined data types, and increasing its functionality. C++.
o LinAlg, basic linear algebra and optimization classes. C++.
o CAM C++ Class Library (Matrix, vector, and graphics classes)
o Newmat, a C++ matrix library (docs, download)
o CLHEP includes matrix classes, random number generators for the High Energy Physics (HEP) community. C++.
o BPKIT, Block Preconditioning Toolkit for iterative solution of linear systems. Callable from C++, C, or FORTRAN.
* Arrays and Images
o POOMA II framework for scientific computing on sequential and parallel computers. Provides parallel arrays; fields, meshes, particles to come in version 2.1 (June 1999). C++.
o The Blitz++ class library: Array and Vector classes which rival Fortran's performance. C++.
o The AIPS++ Array and Image Classes (Astronomical Information Processing System). C++.
o Daixtrose, a general-purpose expression template engine.
o PETE, an expression templates library -- add expression templates to your own array class.
o SCTL (BlueSail), C++, arrays, matrics, vectors, sparse, rotations.
o VIGRA, generic computer vision/image processing library.
o CPPIMA A C++ image processing library
o LIMP, Large Image Manipulation Program
o Image Restoration and Inpainting, C++ library for image restoration.
o valarray
o Image Understanding Environment (IUE), a DARPA project. C++.
o WAILI, a wavelet transform library in C++.
* Neural Networks, genetic algorithms, machine learning, data mining
o PDP++, a neural-network simulation system written in C++
o EO -- Evolutionary Computation Framework
o CONICAL, C++ classes for building Neural Networks
o GALib, a C++ library for genetic algorithms
o Xelopes data mining library (Java, C++, C#)
o MLC++, Machine learning algorithms and data mining.
* High-Energy Physics and Quantum Chemistry
o QC++, quantum chemistry software in C++, supporting MNDO, AM1 and PM3 models.
o FTensor, C++ class library for tensors.
o GluCat, Clifford algebra template library.
o Computational Thermodynamics Library
o Tech-X has made available C++ libraries related to particle accelerator design.
* Multiprecision, arbitrary precision data types
o NTL, arbitrary length integers, vectors/matrices/polynomials over integers and over finite fields.
o EXTNUM, version of double which has the same number of mantissa bits as IEEE 754, but extends the exponent to have range from 10^-646456993 to 10^646456992.
o CLN, an extensive number library. Arbitrary precision integer, float, rational, polynomials, complex, modular integers, transcendental functions, assembly language kernels for some CPUs.
o MUNTL, Multiprecision unsigned number template library (C++).
o MPFUN++, a multiple precision floating point computation package in C++.
o LiDIA, A library for computational number theory. Provides a collection of highly optimized implementations of various multiprecision data types and time-intensive algorithms.
o Apfloat, a C++ High Performance Arbitrary Precision Arithmetic Package
o hfloat, An arbitrary precision package, optimized for very large (> 1000) (decimal) digit numbers.
o fPoint, a C++ class which helps convert floating-point arithmetic to fixed-point arithmetic by recommending range and precision requirements.
o doubledouble, a quad-precision (approximately 30 decimal place) floating point arithmetic class.
* Differential Equations
o Rheoolef, finite element environment in C++.
o EXPDE, a C++ library for solving partial differential equations on semi-unstructured grids. Parallel.
o PZ, a C++ library for finite elements. 1-3 dimensions with hp-adaptivity, continuous or discontinuous, variety of matrix formats.
o MBDyn, multibody dynamics analysis in C++. Built-in parallelization via MPI/Metis.
o P2MESH, 2D finite volume/finite elements, C++ library designed for fast prototyping of high-performance PDE solvers.
o Femlisp, a Common Lisp framework for Finite Element Methods.
o GETFEM++, a C++ finite element library, generic, arbitrary dimensions.
o MOUSE, a C++ library for finite volume computations on unstructured grids.
o DEAL, a C++ library for adaptive finite elements and error estimation. Supports SMPs.
o ODE++, a class library for ordinary differential equations. Explicit and linear-implicit ODE systems, IVP and BVP parameters, various solvers (Runge-Kutta, multistep, BDF). [English] [Deutsch]
o PETSc, object-oriented software for partial differential equations (programmed in C)
o Diffpack, partial differential equations in C++. ($)
o TIDE: Classes for Ordinary Differential Equations. Provides vectors and matrices, extrapolation integrator for ODEs, sparse matrix classes, eigenvalues, shooting for two point BVPs, nonlinear solver, continuation
o BoxLib/CCSE Applications Suite (docs), a class library supporting adaptive mesh refinement (AMR) schemes for computational fluid dynamics.
o OVERTURE, a C++ class library for solving PDEs in complicated domains. Includes adaptive mesh refinement and overlapping grids.
o FEMLIB (ftp, www) A Finite Element package [ftp only] by Michael Tiller (BROKEN LINK, no longer supported)
* Automatic differentiation and interval arithmetic
o Gaol, C++ library for interval arithmetic. Includes methods for interval constraint solvers.
o FADBAD-TADIFF, a C++ package for automatic differentiation using any arithmetic (double or interval) by operator overloading.
o PROFIL/BIAS [English] [Deutsch], a C++ interval arithmetic class library.
* Visualization
o The Visualization Toolkit (vtk), an extensive, free C++ library for scientific visualization.
o VisAD, a Java library for interactive and collaborative visualization and analysis of numerical data
o Java 2D Graph package. Includes contour plots, animation.
o Ptplot, a 2D data plotter in Java
* Graph Theory/Combinatorics
o Boost Graph Library, a general purpose, generic C++ library for graph data structures and graph algorithms.
o GTL, the Graph Template Library (C++).
o LEDA, a C++ library for graph theory and combinatorial computing.
* Language interoperability/scripting
o CPPF77 (cppf77.zip), a utility for interfacing C++ and Fortran 77 programs.
o Paul Dubois's code for interfacing Python and C++
o SWIG, generates Perl, Python, Tcl, Java, Eiffel and Guile wrappers for C++ libraries.
o SILOON (Scripting Interface Languages for Object-Oriented Numerics), toolkits and run-time support for building scripting interfaces to existing numerical codes in C, C++, and Fortran. Generates script bindings for Perl, Tcl, and Python.
o Matwrap, a tool which generates C++ wrapper code for matrix-oriented scripting languages such as Matlab 5, Octave, and tela.
* Transforms
o FFTPACK++, a C++ wrapper for FFTPACK complex routines using LAPACK++ Matrix and Vector classes.
o The FXT library of transforms. FFTs, Hartley, Number theoretic, Walsh, others coded in C++.
* Optimization
o COOOL, an object-oriented optimization library
o OptSolve++, a C++ optimization library from Tech-X. (commercial)
o StarFLIP, optimization library for combinatorial problems with fuzzy constraints (C++)
o LM (Levenberg-Marquardt) implementation in Java for nonlinear least squares problems.
* Miscellaneous
o GOOSE, GNU Object-Oriented Statistics Environment (C++).
o Borneo, a dialect of the Java language designed to have true support for the IEEE 754 floating point standard.
o SDTS++, a library for manipulating SDTS datasets (geographical information systems)
o Newran, C++ library for generating streams of random numbers.
o Multivariate polynomial interpolation library in C++
o MPI-2 C++ bindings (message passing library for parallel computers)
o CNCL, Communication networks simulation/analysis library (C++).
o OOMF, Object Oriented MicroMagnetic computing Framework at ITL/NIST
o CPPF77, a utility for interfacing C++ and Fortran 77 programs.
o The Standard Template Library (STL)
o The Bench++ Benchmark Suite
o EFLIB: Extended Function Library for Object-Pascal. Generalized arithmetics, equation solvers, more.
* Tools
o TAU (Tuning and Analysis Utilities), explicit instrumentation of C++ libraries for profiling and tracing. For both serial and parallel codes.
Compilers
* Compilers
o KAI C++, an optimizing compiler from Kuck & Associates (now a division of Intel). Unfortunately, this product has been discontinued.
o The free GCC (Gnu Compiler Collection) has a good C++ compiler which can be used under unix or windows (with CygWin).
o Intel's C++ compiler.
o The Portland Group C++ compiler
o The MPC++, a massively parallel, message passing, meta-level processing C++.
o Titanium (free), a dialect of Java for large-scale scientific computing.
Commercial software
o Diffpack, a development framework for multi-physics simulations (C++).
o VectorSpace provides vs.lib (integrable/differentiable objects in C++) and fe.lib (an object-oriented finite element library).
o NMath provides vector, matrix, complex numbers and math functions for the .NET platform (e.g. C#)
o macstl, std::valarray implementation using SIMD opcodes (Altivec on PowerPC, SSE/SSE2 on Intel)
o ExacMath library (quad and double-quad precision floating point math), from Floating Point Software.
o Math.h++ and LAPACK.h++ from Rogue Wave Software, Inc (LAPACK.h++ is not the same package as Roldan Pozo's LAPACK++ listed above)
o MtxVec, linear algebra/numerical library for Delphi and C++ Builder.
o Extreme Optimization Library, numerical library for .NET
o MAT
o C-XSC: A C++ Class Library for Extended Scientific Computing (A C++ interval methods class library)
o Siscat, C++ software for scattered data approximation
o JNL, A numerical language/library proposal for Java from Visual Numerics.
o LIA,GIA,ICE libraries for interval methods in C++ from Delisoft Ltd. Includes interval arithmetic, global optimization, and solving nonlinear equations.
o AMRES, a C++ library for financial analysis.
Diffpack, a development framework for multi-physics simulations (C++).
* VectorSpace provides vs.lib (integrable/differentiable objects in C++) and fe.lib (an object-oriented finite element library).
* NMath provides vector, matrix, complex numbers and math functions for the .NET platform (e.g. C#)
* macstl, std::valarray implementation using SIMD opcodes (Altivec on PowerPC, SSE/SSE2 on Intel)
* ExacMath library (quad and double-quad precision floating point math), from Floating Point Software.
* Math.h++ and LAPACK.h++ from Rogue Wave Software, Inc (LAPACK.h++ is not the same package as Roldan Pozo's LAPACK++ listed above)
* MtxVec, linear algebra/numerical library for Delphi and C++ Builder.
* Extreme Optimization Library, numerical library for .NET
* MAT
* C-XSC: A C++ Class Library for Extended Scientific Computing (A C++ interval methods class library)
* Siscat, C++ software for scattered data approximation
* JNL, A numerical language/library proposal for Java from Visual Numerics.
* LIA,GIA,ICE libraries for interval methods in C++ from Delisoft Ltd. Includes interval arithmetic, global optimization, and solving nonlinear equations.
* AMRES, a C++ library for financial analysis.
# KAI C++, an optimizing compiler from Kuck & Associates (now a division of Intel). Unfortunately, this product has been discontinued. The free GCC (Gnu Compiler Collection) has a good C++ compiler which can be used under unix or windows (with CygWin).
# Intel's C++ compiler.
# The Portland Group C++ compiler
# The MPC++, a massively parallel, message passing, meta-level processing C++.
# Titanium (free), a dialect of Java for large-scale scientific computing.
Commercial software
* Diffpack, a development framework for multi-physics simulations (C++).
* VectorSpace provides vs.lib (integrable/differentiable objects in C++) and fe.lib (an object-oriented finite element library).
* NMath provides vector, matrix, complex numbers and math functions for the .NET platform (e.g. C#)
* macstl, std::valarray implementation using SIMD opcodes (Altivec on PowerPC, SSE/SSE2 on Intel)
* ExacMath library (quad and double-quad precision floating point math), from Floating Point Software.
* Math.h++ and LAPACK.h++ from Rogue Wave Software, Inc (LAPACK.h++ is not the same package as Roldan Pozo's LAPACK++ listed above)
* MtxVec, linear algebra/numerical library for Delphi and C++ Builder.
* Extreme Optimization Library, numerical library for .NET
* MAT
* C-XSC: A C++ Class Library for Extended Scientific Computing (A C++ interval methods class library)
* Siscat, C++ software for scattered data approximation
* JNL, A numerical language/library proposal for Java from Visual Numerics.
* LIA,GIA,ICE libraries for interval methods in C++ from Delisoft Ltd. Includes interval arithmetic, global optimization, and solving nonlinear equations.
* AMRES, a C++ library for financial analysis.
# Diffpack, a development framework for multi-physics simulations (C++). VectorSpace provides vs.lib (integrable/differentiable objects in C++) and fe.lib (an object-oriented finite element library).
# NMath provides vector, matrix, complex numbers and math functions for the .NET platform (e.g. C#)
# macstl, std::valarray implementation using SIMD opcodes (Altivec on PowerPC, SSE/SSE2 on Intel)
# ExacMath library (quad and double-quad precision floating point math), from Floating Point Software.
# Math.h++ and LAPACK.h++ from Rogue Wave Software, Inc (LAPACK.h++ is not the same package as Roldan Pozo's LAPACK++ listed above)
# MtxVec, linear algebra/numerical library for Delphi and C++ Builder.
# Extreme Optimization Library, numerical library for .NET
# MAT
# C-XSC: A C++ Class Library for Extended Scientific Computing (A C++ interval methods class library)
# Siscat, C++ software for scattered data approximation
# JNL, A numerical language/library proposal for Java from Visual Numerics.
# LIA,GIA,ICE libraries for interval methods in C++ from Delisoft Ltd. Includes interval arithmetic, global optimization, and solving nonlinear equations.
# AMRES, a C++ library for financial analysis.
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