An overview of NSPCG: A nonsymmetric preconditioned conjugate gradient package

DOI10.1016/0010-4655(89)90166-5zbMath0798.65039OpenAlexW2045108075MaRDI QIDQ1330646

Thomas C. Oppe, Wayne D. Joubert, David R. Kincaid

Publication date: 30 October 1994

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://www.osti.gov/biblio/6756232

zbMATH Keywords

Chebyshev methoditerative methodsJacobi methodlarge sparse systemsgeneralized minimal residual methodsoftware packagesurvey articlesymmetric successive overrelaxationvector computersnonsymmetric matricesincomplete \(LU\) decompositionbiconjugate gradient squared methodITPACKmulticolor preconditionersnonsymmetric preconditioned conjugate gradient proceduresNSPCG

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Parallel numerical computation (65Y05)

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Uses Software

• NSPCG
• ELLPACK

Cites Work

• Generalized conjugate-gradient acceleration of nonsymmetrizable iterative methods
• Numerical analysis. Proceedings of the Dundee conference on numerical analysis, 1975
• The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations
• Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
• Practical Use of Some Krylov Subspace Methods for Solving Indefinite and Nonsymmetric Linear Systems
• Polynomial Preconditioners for Conjugate Gradient Calculations
• Conjugate Gradient-Like Algorithms for Solving Nonsymmetric Linear Systems
• Vectorized iterative methods for partial differential equations
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Vector Computations for Sparse Linear Systems
• The performance of ITPACK on vector computers for solving large sparse linear systems arising in sample oil reseervoir simulation problems
• Two Conjugate-Gradient-Type Methods for Unsymmetric Linear Equations
• An Incomplete Factorization Technique for Positive Definite Linear Systems
• Krylov Subspace Methods for Solving Large Unsymmetric Linear Systems
• LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
• Algorithm 586: ITPACK 2C: A FORTRAN Package for Solving Large Sparse Linear Systems by Adaptive Accelerated Iterative Methods
• Solution of Sparse Indefinite Systems of Linear Equations
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• Basic Linear Algebra Subprograms for Fortran Usage
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