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Programming Guide


Programming Guide: Languages: Fortran: Source Code: Linear Algebra: Sparse
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Iterative Methods for Sparse Linear Systems, Second Edition    Algorithms for Large Scale Linear Algebraic Systems: Applications in Science and Engineering (NATO Asi Series. Series C, Mathematical and Physical Sciences, No. 508.)    Linear Algebra and Linear Operators in Engineering: with Applications in Mathematica    Solution of Large and Sparse Systems of Linear Algebraic Equations (Lecture Notes in Computer Science, Vol 121)    Rank-Deficient and Discrete Ill-Posed Problems: Numerical Aspects of Linear Inversion   
Web Sites

BILUM
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.
url: www.cs.uky.edu/~jzhang/bilum.html

Block-band Matrix Solver
By Udo Grabowski.
url: www-imk.fzk.de:8080/imk2/ame/grabowski/DarkStar/sp...

ITPACK
Collection of Fortran 77 subroutines for solving large sparse linear systems by adaptive accelerated iterative algorithms.
url: rene.ma.utexas.edu/CNA/ITPACK/

LINSOL
Uses iterative techniques based on generalized conjugate gradient methods and beyond to solve large and sparse linear systems.
url: www.rz.uni-karlsruhe.de/~numerik/linsol/index.html

MINRES: Sparse Symmetic Equations
Solves sparse linear equations using a conjugate-gradient type method.
url: www.stanford.edu/group/SOL/software/minres.html

MUltifrontal Massively Parallel sparse direct Solver (MUMPS)
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. Available in various arithmetics (real or complex, single or double), and with or without MPI.
url: www.enseeiht.fr/lima/apo/MUMPS/

NIST Fortran Sparse BLAS
Provides computational kernels for fundamental sparse matrix operations.
url: math.nist.gov/~KRemington/fspblas/

NSPCG
Fortran 77 subroutines for solving large sparse linear systems by adaptive accelerated iterative algorithms.
url: rene.ma.utexas.edu/CNA/NSPCG/

Parallel Sparse Basic Linear Algebra Subroutines (PSBLAS)
Provides a framework to enable easy, efficient and portable implementations of iterative solvers for linear systems, while shielding the user from most details of their parallelization. The interface is designed keeping in view a Single Program Multiple Data programming model on distributed memory machines.
url: claudius.ce.uniroma2.it/psblas/#Software

P_SPARSLIB: Library of Distributed-Memory Sparse Iterative Solvers
By Yousef Saad and Kesheng Wu.
url: www-users.cs.umn.edu/~saad/software/p_sparslib/

SPARSKIT
General purpose Fortran library by Yousef Saad for sparse matrix computations.
url: www-users.cs.umn.edu/~saad/software/SPARSKIT/spars...

SYMMLQ: Sparse Symmetic Equations
Solves a set of sparse, symmetric linear equations using a conjugate gradient type method.
url: www.stanford.edu/group/SOL/software/symmlq.html

Systems Optimization Laboratory
Code for sparse linear equations (symmetric or general) and sparse least squares, and updating a dense square factorization L C = U.
url: www.stanford.edu/group/SOL/software.html


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