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Open Directory - Computers: Programming: Languages: Fortran: Source Code: Linear Algebra: Sparse
- Code by Yousef Saad and Jun Zhang to solve general sparse linear systems by using Krylov subspace methods preconditioned by some multi-level block ILU (BILUM) preconditioning techniques.
- Collection of Fortran 77 subroutines for solving large sparse linear systems by adaptive accelerated iterative algorithms.
MINRES: Sparse Symmetic Equations
- Solves sparse linear equations using a conjugate-gradient type method.
MUMPS: A Multifrontal Massively Parallel Sparse Direct Solver
- Fortran 90 package for solving linear systems of equations of the form A*x = b, where the matrix A is sparse and can be either unsymmetric, symmetric positive definite, or general symmetric. Released in the public domain. Includes documentation, related publications, and an FAQ.
NIST Fortran Sparse BLAS
- Provides computational kernels for fundamental sparse matrix operations.
- Fortran 77 subroutines for solving large sparse linear systems by adaptive accelerated iterative algorithms.
- The optimqr program will read a description of the sparsity pattern of some system matrix for system of linear equations. It will then apply heuristic branch and bound search to find a near-optimal ordering of the rows and columns of the system matrix. The ordering is written to disk. The codegen.pl program can then read the system ordering, and create a solver written in Fortran 77, that will solve the system using sparse QR factorization (using Givens rotations).
- Software by Rasmus Munk Larsen for large and sparse SVD calculations, with versions in Fortran and Matlab.
- Fortran 90 modules by Ernst Meese for the compressed sparse row (CSR) and the modified sparse row (MSR) data storage formats, a very general incomplete LU factorisation routine, the Krylov subspace solvers CGS, BiCGSTAB and GMRES.
- Fortran 77 code for sparse matrix multiplication, transposition, and format conversion.
- Comprised of four numerical (iterative) methods for computing the singular value decomposition (SVD) of large sparse matrices using double precision Fortran 77.
SYMMLQ: Sparse Symmetic Equations
- Solves a set of sparse, symmetric linear equations using a conjugate gradient type method.
Systems Optimization Laboratory
- Code for sparse linear equations (symmetric or general) and sparse least squares, and updating a dense square factorization L C = U.
- Fortran 77 code that solves sparse systems of linear algebraic equations by Gaussian elimination.
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