Numerical implementation of the QMR algorithm by using discrete stochastic arithmetic

DOI10.1007/BF02936068zbMath1064.65028MaRDI QIDQ1767402

Davod Khojasteh Salkuyeh, Bahram Asadi, Faezeh Toutounian

Publication date: 10 March 2005

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

zbMATH Keywords

numerical exampleserror propagationiterative methodsKrylov subspace methodCESTAC methoddiscrete stochastic arithmeticquasi-minimal residual methodCADNA libraryQMR method, look-ahead Lanczos algorithm

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Roundoff error (65G50)

Uses Software

• CADNA

Cites Work

• New methods for evaluating the validity of the results of mathematical computations
• QMR: A quasi-minimal residual method for non-Hermitian linear systems
• Stopping Criteria for Iterative Solvers
• An Implementation of the Look-Ahead Lanczos Algorithm for Non-Hermitian Matrices
• Methods of conjugate gradients for solving linear systems
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