
LAPACK
 Referenced in 1386 articles
[sw00503]
 linear equations, leastsquares solutions of linear systems of equations, eigenvalue problems, and singular value ... performed by calls to the Basic Linear Algebra Subprograms (BLAS). LAPACK is designed ... matrix multiplication and the solution of triangular systems with multiple righthand sides. Because...

ScaLAPACK
 Referenced in 360 articles
[sw00830]
 library of highperformance linear algebra routines for distributed memory messagepassing MIMD computers ... Both libraries contain routines for solving systems of linear equations, least squares problems, and eigenvalue ... solution of dense, band, and tridiagonal linear systems of equations, condition estimation and iterative refinement ... Cholesky factorization, matrix inversion, fullrank linear least squares problems, orthogonal and generalized orthogonal factorizations...

LINPACK
 Referenced in 449 articles
[sw04209]
 leastsquares problems. The package solves linear systems whose matrices are general, banded, symmetric indefinite...

INTLAB
 Referenced in 310 articles
[sw04004]
 selfvalidating methods for dense linear systems (also inner inclusions and structured matrices) sparse s.p.d ... linear systems systems of nonlinear equations (including unconstrained optimization) roots of univariate and multivariate nonlinear...

CGS
 Referenced in 285 articles
[sw08225]
 fast Lanczostype solver for nonsymmetric linear systems The presented method is a combination ... competitive solver for nonsymmetric linear systems, at least for problems that are not too large...

GAMS
 Referenced in 719 articles
[sw04978]
 General Algebraic Modeling System (GAMS) is specifically designed for modeling linear, nonlinear and mixed integer ... revisions to establish an accurate model. The system models problems in a highly compact ... another, and can even convert from linear to nonlinear with little trouble...

MUMPS
 Referenced in 257 articles
[sw04013]
 Solution of large linear systems with symmetric positive definite matrices; general symmetric matrices; general unsymmetric...

HyTech
 Referenced in 286 articles
[sw04125]
 computes the condition under which a linear hybrid system satisfies a temporal requirement. Hybrid systems...

ODEPACK
 Referenced in 141 articles
[sw08341]
 also solvers for systems given in linearly implicit form, A(t,y) dy/dt ... general sparse matrix solvers for the linear systems that arise. Two others use iterative (preconditioned ... instead of direct methods for these linear systems. The most recent addition is LSODIS, which...

PARDISO
 Referenced in 184 articles
[sw00679]
 solving large sparse symmetric and unsymmetric linear systems of equations on sharedmemory and distributed...

CSparse
 Referenced in 123 articles
[sw20382]
 Direct methods for sparse linear systems. Computational scientists often encounter problems requiring the solution ... sparse systems of linear equations. Attacking these problems efficiently requires an indepth knowledge ... programming language, Direct Methods for Sparse Linear Systems equips readers with the working knowledge required...

HSL
 Referenced in 179 articles
[sw00418]
 those for the solution of sparse linear systems of equations and sparse eigenvalue problems. MATLAB...

hypre
 Referenced in 174 articles
[sw00426]
 solution of large, sparse linear systems on massively parallel computers. Its emphasis is on modern...

LINDO
 Referenced in 448 articles
[sw04448]
 LINDO Systems  Optimization Software: Integer Programming, Linear Programming, Nonlinear Programming, Stochastic Programming, Global Optimization LINDO...

ITSOL
 Referenced in 151 articles
[sw04031]
 iterative solvers for general sparse linear systems of equations. ITSOL can be viewed...

Genocop
 Referenced in 991 articles
[sw04707]
 unconstrained optimization, written in C. The Genocop system aims at finding a global optimum (minimum ... input parameters) of a function; additional linear constraints (equations and inequalities) can be specified ... without changes on any BSDUN*X system (preferably on a Sun SPARC machine). This...

PORTA
 Referenced in 97 articles
[sw04869]
 vectors, or as a system of linear equations and inequalities. The name PORTA ... Motzkin elimination algorithm which projects a linear system on subspaces xi = 0. This projection ... given system of linear inequalities can be done separately by using the function ’fmel...

PLTMG
 Referenced in 201 articles
[sw00717]
 algebraic multilevel solvers for the resulting systems of linear equations. PLTMG provides a suite...

Aztec
 Referenced in 77 articles
[sw12817]
 iterative solution of large sparse linear systems arising in scientific and engineering applications ... preconditioners in order to solve a linear system. The Aztec library is written ... user may input the linear system in a simple format and Aztec will perform...