- Referenced in 350 articles
- 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...
- Referenced in 226 articles
- those for the solution of sparse linear systems of equations and sparse eigenvalue problems. MATLAB...
- Referenced in 147 articles
- 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 in-depth 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...
- Referenced in 207 articles
- library for the solution of large, sparse linear systems on massively parallel computers. Its emphasis...
- Referenced in 151 articles
- library of iterative solvers for general sparse linear systems of equations. ITSOL can be viewed...
- Referenced in 432 articles
- large-scale optimization system, for the solution of sparse linear and nonlinear programs. The objective...
- Referenced in 104 articles
- designed to solve large sparse linear systems of equations arising primarily from elliptic PDE discretizations...
- Referenced in 216 articles
- software for solving large sparse symmetric and unsymmetric linear systems of equations on shared-memory...
- Referenced in 60 articles
- 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...
- Referenced in 79 articles
- 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...
- Referenced in 1480 articles
- linear equations, least-squares 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 right-hand sides. Because...
- Referenced in 150 articles
- 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...
- Referenced in 136 articles
- direct solution of large, sparse, nonsymmetric systems of linear equations on high performance machines...
- Referenced in 36 articles
- 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...
Harwell-Boeing sparse matrix collection
- Referenced in 204 articles
- matrices for sparse matrix problems. Our test set comprises problems in linear systems, least squares ... used as counter-examples to hypotheses in sparse matrix research, to large test cases arising...
- Referenced in 47 articles
- programs designed for solving general sparse linear systems by using Krylov subspace methods preconditioned...
- Referenced in 42 articles
- methods for the solution of large, sparse linear systems obtained from the discretization of second...
- Referenced in 145 articles
- system of linear ordinary differential equations with constant inhomogeneity. The backbone of the sparse routines...
- Referenced in 75 articles
- codes for solving large, sparse, symmetric positive deﬁnite linear systems. Specifically, LIPSOL constructs MEX-ﬁles ... extensively tested on the Netlib set of linear programs and has effectively solved...
- Referenced in 74 articles
- linear systems, updating/downdating the solution to the triangular system Lx = b, and many other sparse...