Componentwise Error Analysis for Stationary Iterative Methods-Reference-Cited by-同舟云学术

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Componentwise Error Analysis for Stationary Iterative Methods

Published:1993 Issue: Volume: Page:29-46
ISSN:0940-6573
Container-title:Linear Algebra, Markov Chains, and Queueing Models
language:
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Author:

Higham Nicholas J.,Knight Philip A.

Publisher

Springer New York

Link

http://link.springer.com/content/pdf/10.1007/978-1-4613-8351-2_3

Reference26 articles.

1. M. Arioli, J.W. Demmel and I.S. Duff, Solving sparse linear systems with sparse backward error, SIAM J. Matrix Anal. Appl., 10 (1989), pp. 165–190.

2. M. Arioli, I.S. Duff and D. Ruiz, Stopping criteria for iterative solvers, SIAM J. Matrix Anal. Appl., 13 (1992), pp. 138–144.

3. N.F. Benschop and H.C. Ratz, A mean square estimate of the generated roundoff error in constant matrix iterative processes, J. Assoc. Comput. Mach., 18 (1971), pp. 48–62.

4. J.A.M. Bollen, Numerical stability of descent methods for solving linear equations, Numer. Math., 43 (1984), pp. 361–377.

5. C. de Boor and A. Pinkus, Backward error analysis for totally positive linear systems, Numer. Math., 27 (1977), pp. 485–490.

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1. Verified Correctness, Accuracy, and Convergence of a Stationary Iterative Linear Solver: Jacobi Method;Lecture Notes in Computer Science;2023

2. Towards Verified Rounding Error Analysis for Stationary Iterative Methods;2022 IEEE/ACM Sixth International Workshop on Software Correctness for HPC Applications (Correctness);2022-11

3. Iterative Methods;Texts in Applied Mathematics;2014-10-07

4. Matrix Powers in Finite Precision Arithmetic;SIAM Journal on Matrix Analysis and Applications;1995-04

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