ÀÌ°÷Àº ÇöÀç ÀÎÅÍ³Ý»óÀÇ ¼öÄ¡ÇØ¼®°ú °ü·ÃµÈ °¢Á¾ ÇÁ·Î±×·¡¹Ö µµ±¸¿¡ ´ëÇÏ¿© ¸ð¾Æ ³õÀº °÷ ÀÔ´Ï´Ù. Æ¯È÷ PC(Window9x/NT)È¯°æ¿¡¼ »ç¿ëÇÒ ¼ö ÀÖµµ·Ï ¼Ò½º¸¦ Àç ÄÄÆÄÀÏÇÏ°Å³ª, ¼öÁ¤ÇÏ¿© ¸ð¾Æ µÎ¾ú½À´Ï´Ù. ¸¹Àº ºÎºÐÀº UNIX¿Í °øÀ¯µÉ ¼ö ÀÖÀ» °ÍÀÔ´Ï´Ù.
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Octave  ±âº»ÀûÀ¸·Î MATLAB°ú °ÅÀÇ ¿Ïº®ÇÏ°Ô È£È¯µÇµµ·Ï ÇÑ ¼öÄ¡ °è»ê¿ë °í±Þ ÇÁ·Î±×·¡¹Ö ¾ð¾îÀÌ´Ù. ½Ç¼ö º¹¼Ò¼öÀÇ ½ºÄ®¶ó¿Í Çà·Ä, º¤ÅÍ ¿¬»êÀ» ¼öÇàÇÑ´Ù ºñ¼±Çü ¿¬¸³¹æÁ¤½Ä ¼öÄ¡ ÀûºÐ »ó¹ÌºÐ ¹æÁ¤½Ä µîÀ» Ç® ¼ö ÀÖ´Ù. ¶ÇÇÑ, LAPACK, LINPACK, ODEPACK, BLAS¿Í °°Àº FORTRAN ¶óÀÌºê·¯¸®·Î ¸¸µç C++ Å©·¡½º ¶óÀÌºê·¯¸® ÀÌ¿ëÇÑ Solver¸¦ »ç¿ëÇÑ´Ù. 



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MuPAD  Maple°ú À¯»çÇÑ Computer Algebra System. ºñ»ó¾÷Àû ±³À° ¸ñÀûÀ¸·Î ÀÚÀ¯·Ó°Ô »ç¿ë °¡´ÉÇÏ´Ù. 

HCL  a C++ class library to implement vectors and linear
operators.
The Hilbert Class Library (HCL) is a collection of C++ classes which
apply

Newmat  This C++ library is intended for scientists and engineers
who need to manipulate a
variety of types of matrices using standard matrix operations. Emphasis is on the kind of operations needed in statistical calculations such as least squares, linear equation solve and eigenvalues. It supports matrix types: Matrix (rectangular matrix); UpperTriangularMatrix; LowerTriangularMatrix; DiagonalMatrix; SymmetricMatrix; BandMatrix; UpperBandMatrix; LowerBandMatrix; SymmetricBandMatrix; RowVector; ColumnVector. The library includes the operations *, +, , concatenation, inverse, transpose, conversion between types, submatrix, determinant, Cholesky decomposition, QR triangularisation, singular value decomposition, eigenvalues of a symmetric matrix, sorting, fast Fourier and trig. transforms, printing and an interface with Numerical Recipes in C. 
BLAS  The BLAS (Basic Linear Algebra Subprograms) are high quality "building
block"
routines for performing basic vector and matrix operations. Level 1 BLAS do vectorvector operations, Level 2 BLAS do matrixvector operations, and Level 3 BLAS do matrixmatrix operations. Because the BLAS are efficient, portable, and widely available, they're commonly used in the development of high quality linear algebra software, LINPACK and LAPACK for example. If a vendoroptimized version of the BLAS is
not available, one can obtain a

Pentium Optimized BLAS  Pentium optimized BLAS project is aiming at the optimized BLAS implementation
on
the Intel Pentium platforms. Currently, the BLAS level 1 routines are being implemented with GNU assembler. 
BPKIT  BPKIT (Block Preconditioning Toolkit) is a toolkit of block preconditioners
for the
iterative solution of linear systems. The most effective general purpose and blackbox type of preconditioners are available, including block SSOR, block tridiagonal ILU, and the block extension of point ILU with leveloffill. Any of these ``global'' preconditioners may be coupled with one of a large collection of ``local'' preconditioners for approximately or exactly inverting or solving with the diagonal or pivot blocks. These include a number of new approximate inverse techniques. By combining a global and local preconditioner, a wide variety of preconditionings are possible, matched to the difficulty and structure of the problem. The blocks may be stored in dense or sparse formats, and userdefined data structures may also be used. Variable block sizes are allowed within a matrix. Operations with the blocks call the BLAS, LAPACK, or the sparse BLAS, for efficiency across many platforms. The selection of larger blocks usually gives higher performance. BPKIT supports the preconditioning of a block of vectors, to enhance efficiency when block iterative methods are used. A flexible GMRES iterative method is provided in BPKIT for users who do not have an iterative method readily available. A test program will read any linear system in HarwellBoeing format and solve it using any combination of preconditioners and parameters specified by the user. This is important in the ``experimentation'' stage when trying to solve problems from new applications. BPKIT is callable from C/C++ and FORTRAN. BPKIT is not parallel; for large applications it is suitable for the local solvers per processor/node or domain. 
C++ Matrix Class  C++ Matrix Class is a simple, fast, efficient C++ Matrix class designed
for scientists
and engineers. The Array and Matrix classes permit two dimensional arrays to be treated as objects that can be included in arithmetic expressions with infix operators in much the same way as are scalar values. The array elements are stored in memory in row major order. Row (column) vectors are two dimensional arrays with just one row (column). A matrix with exactly one row and one column is a scalar. 
IML++  IML++ is a C++ templated library of modern iterative methods for solving
both
symmetric and nonsymmetric linear systems of equations. The algorithms are fully templated in that the same source code works for dense, sparse, and distributed matrices. Most of IML++ was coded using g++ 2.7.2, so it should work on Linux. 
LAPACK  LAPACK provides routines for solving systems of simultaneous linear
equations,
leastsquares solutions of linear systems of equations, eigenvalue problems, and singular value problems. The associated matrix factorizations (LU, Cholesky, QR, SVD, Schur, generalized Schur) are also provided, as are related computations such as reordering of the Schur factorizations and estimating condition numbers. Dense and banded matrices are handled, but not general sparse matrices. In all areas, similar functionality is provided for real and complex matrices, in both single and double precision. 
SparseLib++  SparseLib++ is a C++ class library for efficient sparse matrix computations
across
various computational platforms. The software package consists of matrix classes encompassing several sparse storage formats (e.g. compressed row, compressed column and coordinate formats), and providing basic functionality for managing sparse matrices. The Sparse BLAS Toolkit is used to for efficient kernel mathematical operations (e.g. sparse matrixvector multiply) and to enhance portability and performance across a wide range of computer architectures. Included in the package are various preconditioners commonly used in iterative solvers for linear systems of equations. The focus is on computational support for iterative methods (for example, see IML++), but the sparse matrix objects presented here can be used in their own right. 
Template Numerical Toolkit (TNT) for linear algebra  TNT is a successor to the Lapack++, Sparselib++, IML++, and MV++ packages.
Its
goal is to formally integrate these ideas into a generic algorithmic library, supporting generic userdefined data types, and increasing its functionality. The toolkit provides an integrated collection of generic matrix/vector classes based on components of the Standard Template Library (STL), together with specialization of generic algorithms for maximal efficiency. 
SVMT  The proposed C++ Scalar, Vector, Matrix and Tensor (SVMT) class library
standard
specifies an Application Programmer's Interface (API) for scalar, vector, matrix and tensor arithmetic class libraries. The SVMT portable reference library is used by SVMT class library developers to verify their own implementations of the proposed C++ SVMT class library standard API but may also be used by scientists and engineers to develop portable high performance application programs. 
cygnus Compiler Kit (cygwin32)  The Cygwin tools are ports of the popular GNU development tools and utilities for Windows 95, 98, and NT. They function by using the Cygwin library which provides a UNIXlike API on top of the Win32 API 
mingw32  "Minimalist" GnuWin32. This uses
Microsoft's runtime (either CRTDLL.DLL or MSVCRT.DLL) for all services. 
egcs  Enhanced Gcc including G++(C++), G77(Fortran), Java and Objective C 
djgpp  DOS extender (include Win 9x)& gcc(g++) complier 
lcc  retagettable C compiler 
quincy  IDE for mingw32/cygwin32 
RHIDE  IDE for djgpp 
emx, rsx, rsxnt  gcc for DOS, WIN9x/NT and OS/2 
How to programming Mixed Languages(FORTRAN & C/C++)
Cross Compiler Services for numerical analysist(including LAPACK/LINPACK)
Automatic
Differentiation Software
An index of available automatic differentiation software compiled by Chris Bischof and Fred Dilley of Argonne National Laboratory 
CFD Codes List.
An index of resources for computational fluid dynamics maintained by Tomasz Plewa at the MaxPlanckInstitute f?r Astrophysik. 
Control
Numerics and Software
An index of information on numerical methods and software in control engineering developed by the German Aerospace Center. 
The FXT Page.
Links to FFT codes and related information 
Finite
Element Mesh Generation
Information on current research and pointers to software maintained by Robert Schneiders of RWTH Aachen. 
Interval
Computations.
Software for numerical computations based on interval arithmetic. 
Linear
Programming FAQ
Frequently asked questions about linear programming, posted monthly to the Usenet newsgroup sci.opresearch. 
numcompfreec
A list of resources for numerical computing in C and C++. 
Numerical Methods
and Related Fields FAQ
Answers to frequently asked questions about numerical analysis and related fields maintained by Steve Sullivan of Mathcom Inc. 
Numerical
Methods Resource List.
An index of resources for numerical computing maintained by Tomasz Plewa at the MaxPlanckInstitute f?r Astrophysik. 
The ObjectOriented Numerics Page
A directory of software, projects, publications, conferences and related material related to objectoriented numerical computing. 
NEOS Guide to Optimization
Software.
A listing of optimization software packages maintained by the Optimization Technology Center of Argonne National Laboratory and Northwestern University. 
Nonlinear
Programming FAQ
Frequently asked questions about nonlinear optimization, posted monthly to the Usenet newsgroup sci.opresearch. 
Numerical Evaluation of Special
Functions.
An extensive survey of the literature and available software for the evaluation of the higher transcendental functions. Includes more than 600 references organized by topic. 
Optimization
Software Guide.
A listing of optimization software packages from the book written by Jorge J. More and Stephen J. Wright, SIAM, Philadelphia, 1993. 
Problem
Solving Environments (PSEs).
Information about PSE research, publications and related topics. 
Wavelet Information.
A directory of wavelet information and software maintained by Amara Graps. 
Algae
A highlevel, interpreted language for numerical analysis. 
Computational Geometry Algorithms
Library
A C++ library of geometric data strctures and algorithms. 
Data Curve Fitting
Java applets for linear and nonlinear data fitting. 
DifEqu
PC freeware for numerically solving ordinary, functional and partial differential equations, difference equations. 
GNU
plotutils.
Programs for plotting scientific data and a function library for drawing vector graphics and doing vector graphics animations for Unix systems. 
Intel
Performance Library Suite.
Includes Math Kernel Library (MKL) with optimized BLAS and FFTs for the Pentium(R) Pro processor. Multiple processors are supported. 
LMITOOL.
A userfriendly package for LMI optimization. (LMI problems have matrix variables subject to equality and positivedefiniteness constraints and the objective function is linear in these variables. 
MathLab
95
Windows 95/NT software for plotting functions in 2D and 3D. Includes Lsystems for expressing fractallike plots in 2D and 3D. 
The Matrix Template Library.
Generic components for high performance linear algebra in C++. 
Modulef.
A modular Fortran subroutine library for finite element analysis. 
MuPAD.
A (parallel) general purpose computer algebra system developed at the University of Paderborn. 
PSPLOT.
A Fortrancallable PostScript plotting library. 
Scilab.
A highlevel system with Matlablike syntax for system control and signal processing applications. Available for Unix systems as well as for Windows 95 and the Macintosh 
TOCHNOG.
A free finite element program by Dennis Roddeman of the University of Innsbruck. 
Visual Math for Java.
A graphic calculator and equation solver usable from a Web browser. 
Free
Fortran Software.
Repository of free Fortran software maintained by the Fortran Market. 
HREM And Surface
Structure Facility at Northwestern University.
A small collection of software for FFTs and related transforms in Fortran and C can be found here. 
MGNet Multigrid/domain
decomposition Network Repository.
Repository of information and software on multigrid and multidomain methods for solving partial differential equations. 
Netlib
A large mathematical software repository. 
tatlib.
A repository of statistical software, datasets and other information. 
ZIB Electronic Library
Software developed by the KonradZuseZentrum f?r Informationstechnik Berlin (ZIB). Includes the Reduce Network Library, CodeLib, and mathematical programming software. 
Scientific Applications on Linux.
A directory of scientific software known to work under Linux. 