原文转自：http://blog.sina.com.cn/s/blog_4c1ad1f701019tgc.html

General Mathematical Libraries:

 

 

 

 

 - Common Component Architecture Forum

 

Linear Algebra

• Interface Definition Language for scientific problems
• Improved Lapack used in GAUSSIAN
•  Good Linear algebra C++ library  with interface to LAPACK and more - not complete enough?
• Univeristy of Florida Library
• High-Performance Preconditioners
• , a C++ template library for solving large-scale standard and generalized eigenvalue problems. Looks good but not developed any more?
• , a matrix package for the Python programming language.
• , Equation  Solver Interface
• , an elementary linear algebra package for Java.
• , the Matrix Template Library. Dense and sparse matrices and vectors; banded, symmetric, triangular matrices; basic algorithms. C++.
• , BLAS in C++ with expression templates.
• , a C++ library for "tiny" vectors and matrices with expression templates.
• , generic C++ template library for sparse, dense and skyline matrices, with solvers from ITL.
• , a C++ matrix library with expression templates, which eliminates the overhead of overloaded operators.
• , the Scientific Library project. Will provide matrices, random numbers, complex, quaternions, plotting, and FFTs. C++.
• , linear and polynomial algebra. Vectors, matrices, polynomials.
• : 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.
•  [ftp only], the GNU Scientific Software Library. Linear algebra and arrays. C++.
•  (Linear Algebra PACKage in C++), solves systems of linear equations and eigenvalue problems on high performance computer architectures.
•  A C++ template library for numerical iterative methods.
•  Numerical Matrix/Vector Classes in C++
•  A library for sparse matrix computations, including the Sparse BLAS (Basic Linear Algebra Subprograms). C++.
• , an object-oriented framework for solving sparse linear systems of equations. C++.
• The  (TNT) for linear algebra is a successor to the , , , and  packages. Its goal is to integrate these ideas into a generic algorithmic library, supporting generic user-defined data types, and increasing its functionality. C++.
• , basic linear algebra and optimization classes. C++.
•  (Matrix, vector, and graphics classes)
• Newmat, a C++ matrix library (, )
•  includes matrix classes, random number generators for the High Energy Physics (HEP) community. C++.
• , Block Preconditioning Toolkit for iterative solution of linear systems. Callable from C++, C, or FORTRAN.

Differential Equations

• , object-oriented software for partial differential equations (programmed in C) - Seemed to be well supported, parlellized etc
• , finite element environment in C++.
• , a C++ library for solving partial differential equations on semi-unstructured grids. Parallel.
• , a C++ library for finite elements. 1-3 dimensions with hp-adaptivity, continuous or discontinuous, variety of matrix formats.
• , multibody dynamics analysis in C++. Built-in parallelization via MPI/Metis.
• , a C++ finite element library, generic, arbitrary dimensions.
• , a C++ library for finite volume computations on unstructured grids.
• , a C++ library for adaptive finite elements and error estimation. Supports SMPs.
• ODE++, a class library for ordinary differential equations. Explicit and linear-implicit ODE systems, IVP and BVP parameters, various solvers (Runge-Kutta, multistep, BDF). [] []
• , partial differential equations in C++. ($)
•  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
•  (), a class library supporting adaptive mesh refinement (AMR) schemes for computational fluid dynamics.
• , a C++ class library for solving PDEs in complicated domains. Includes adaptive mesh refinement and overlapping grids.
• FEMLIB (, ) A Finite Element package [ftp only] by Michael Tiller, no longer supported)

Graph Theory

• , a general purpose, generic C++ library for graph data structures and graph algorithms.
• , the Graph Template Library (C++).
• , a C++ library for graph theory and combinatorial computing.
• Graph isomorphism library
•  - Graph Partioning Sparse Matrix reodering library - Many libraries use it - probably good
•  Graph matching library - use in HARLEM

RANDOM Number generators

Finite-Element analysis

• Large package for finite element analysis

Arrays and Images

•  framework for scientific computing on sequential and parallel computers. Provides parallel arrays; fields, meshes, particles to come in version 2.1 (June 1999). C++.
• The  class library: Array and Vector classes which rival Fortran's performance. C++.
• The  Library: Serial and Parallel Array Classes. C++. [BROKEN: AUTHOR CONTACTED]
•  (Astronomical Information Processing System). C++.
• , an expression templates library -- add expression templates to your own array class.
• , Numerical extensions to Python.
• , generic computer vision/image processing library.
•  A C++ image processing library
• , Large Image Manipulation Program
•  [ftp only], approximation of the valarray class described in Ch. 26 of the ANSI/ISO C++ Standard. Uses expression templates for efficient evaluation.
• , a DARPA project. C++.
• , a wavelet transform library in C++.

Neural Networks, genetic algorithms, machine learning, data mining

• , a neural-network simulation system written in C++
• , C++ classes for building Neural Networks
• , a C++ library for genetic algorithms
•  data mining library (Java, C++, C#)
• , Machine learning algorithms and data mining.

Calculations on JAVA

Plotting programs and libraries

High-Energy Physics and Quantum Chemistry

• , quantum chemistry software in C++, supporting MNDO, AM1 and PM3 models.
• , C++ class library for tensors.
• , Clifford algebra template library.
•  has made available C++ libraries related to particle accelerator design.

Multiprecision, arbitrary precision data types

• , arbitrary length integers, vectors/matrices/polynomials over integers and over finite fields.
• , 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.
• , an extensive number library. Arbitrary precision integer, float, rational, polynomials, complex, modular integers, transcendental functions, assembly language kernels for some CPUs.
• , a multiple precision floating point computation package in C++.
• , A library for computational number theory. Provides a collection of highly optimized implementations of various multiprecision data types and time-intensive algorithms.
• , a C++ High Performance Arbitrary Precision Arithmetic Package
• , An arbitrary precision package, optimized for very large (> 1000) (decimal) digit numbers.
• , a C++ class which helps convert floating-point arithmetic to fixed-point arithmetic by recommending range and precision requirements.
• , a quad-precision (approximately 30 decimal place) floating point arithmetic class.

Automatic differentiation and interval arithmetic

• , a C++ package for automatic differentiation using any arithmetic (double or interval) by operator overloading.
• PROFIL/BIAS [] [], a C++ interval arithmetic class library.

Visualization

• The , an extensive, free C++ library for scientific visualization.
• , a Java library for interactive and collaborative visualization and analysis of numerical data
• . Includes contour plots, animation.
• , a 2D data plotter in Java

Language interoperability/scripting

• , a utility for interfacing C++ and Fortran 77 programs.
• Paul Dubois's 
• , generates Perl, Python, Tcl, Java, Eiffel and Guile wrappers for C++ libraries.
•  (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.
• , a tool which generates C++ wrapper code for matrix-oriented scripting languages such as Matlab 5, Octave, and tela.

Fourie Transform and others

• , a C++ wrapper for FFTPACK complex routines using LAPACK++ Matrix and Vector classes.
• The  library of transforms. FFTs, Hartley, Number theoretic, Walsh, others coded in C++.

Optimization

• , an object-oriented optimization library
• , a C++ optimization library from Tech-X. (commercial)
• , optimization library for combinatorial problems with fuzzy constraints (C++)
•  implementation in Java for nonlinear least squares problems.

Miscellaneous

• , GNU Object-Oriented Statistics Environment (C++).
• , a dialect of the Java language designed to have true support for the IEEE 754 floating point standard.
• , a library for manipulating SDTS datasets (geographical information systems)
• , C++ library for generating streams of random numbers.
•  library in C++
•  (message passing library for parallel computers)
• , Communication networks simulation/analysis library (C++).
• , Object Oriented MicroMagnetic computing Framework at ITL/NIST
• , a utility for interfacing C++ and Fortran 77 programs.
•  Extended Function Library for Object-Pascal. Generalized arithmetics, equation solvers, more.

Tools

• •  (Tuning and Analysis Utilities), explicit instrumentation of C++ libraries for profiling and tracing. For both serial and parallel codes.