
INTLAB
 Referenced in 457 articles
[sw04004]
 inclusions and structured matrices) sparse s.p.d. linear systems systems of nonlinear equations (including unconstrained optimization ... fast) interval arithmetic for real and complex sparse matrices (very fast) automatic differentiation (forward mode...

CSparse
 Referenced in 216 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 ... theory, algorithms, and data structures found in sparse matrix software libraries. Here, Davis presents ... programming language, Direct Methods for Sparse Linear Systems equips readers with the working knowledge required...

HSL
 Referenced in 275 articles
[sw00418]
 those for the solution of sparse linear systems of equations and sparse eigenvalue problems. MATLAB...

hypre
 Referenced in 300 articles
[sw00426]
 library for the solution of large, sparse linear systems on massively parallel computers. Its emphasis...

ITSOL
 Referenced in 156 articles
[sw04031]
 library of iterative solvers for general sparse linear systems of equations. ITSOL can be viewed...

MINOS
 Referenced in 444 articles
[sw05095]
 largescale optimization system, for the solution of sparse linear and nonlinear programs. The objective...

ML
 Referenced in 123 articles
[sw08067]
 designed to solve large sparse linear systems of equations arising primarily from elliptic PDE discretizations...

PARDISO
 Referenced in 283 articles
[sw00679]
 software for solving large sparse symmetric and unsymmetric linear systems of equations on sharedmemory...

ODEPACK
 Referenced in 197 articles
[sw08341]
 also solvers for systems given in linearly implicit form, A(t,y) dy/dt ... solvers use general sparse matrix solvers for the linear systems that arise. Two others ... linear systems. The most recent addition is LSODIS, which solves implicit problems with general sparse...

ARMS
 Referenced in 65 articles
[sw00048]
 algebraic recursive multilevel solver for general sparse linear systems. The paper describes new recursive multilevel ... method for preconditioning of general sparse linear systems. This strategy is used...

SuperLU
 Referenced in 186 articles
[sw00930]
 direct solution of large, sparse, nonsymmetric systems of linear equations on high performance machines...

LAPACK
 Referenced in 1677 articles
[sw00503]
 linear equations, leastsquares solutions of linear systems of equations, eigenvalue problems, and singular value ... banded matrices are handled, but not general sparse matrices. In all areas, similar functionality ... 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...

Aztec
 Referenced in 83 articles
[sw12817]
 iterative solution of large sparse linear systems arising in scientific and engineering applications ... user may input the linear system in a simple format and Aztec will perform ... squares polynomials, and overlapping domain decomposition using sparse LU, ILU, ILUT, BILU and ICC within...

pARMS
 Referenced in 39 articles
[sw00683]
 pARMS: A package for solving general sparse linear systems on parallel computers This paper presents ... pARMS, a package for solving sparse linear systems on parallel platforms. Preconditioners constitute the most ... most common parallel preconditioners used for sparse linear systems adapt domain decomposition concepts ... more general framework of “distributed sparse linear systems”. The parallel Algebraic Recursive Multilevel Solver (pARMS...

HarwellBoeing sparse matrix collection
 Referenced in 215 articles
[sw08516]
 matrices for sparse matrix problems. Our test set comprises problems in linear systems, least squares ... used as counterexamples to hypotheses in sparse matrix research, to large test cases arising...

BILUM
 Referenced in 50 articles
[sw04015]
 programs designed for solving general sparse linear systems by using Krylov subspace methods preconditioned...

CHOLMOD
 Referenced in 106 articles
[sw04412]
 linear systems, updating/downdating the solution to the triangular system Lx = b, and many other sparse...

HSL_MI20
 Referenced in 50 articles
[sw07246]
 methods for the solution of large, sparse linear systems obtained from the discretization of second...

Expokit
 Referenced in 189 articles
[sw00258]
 system of linear ordinary differential equations with constant inhomogeneity. The backbone of the sparse routines...

SuperLUDIST
 Referenced in 89 articles
[sw00002]
 direct solution of large, sparse, nonsymmetric systems of linear equations on high performance machines...