Accuracy of the $s$-Step Lanczos Method for the Symmetric Eigenproblem in Finite Precision-Reference-Cited by-同舟云学术

Accuracy of the $s$-Step Lanczos Method for the Symmetric Eigenproblem in Finite Precision

Published:2015-01 Issue:2 Volume:36 Page:793-819
ISSN:0895-4798
Container-title:SIAM Journal on Matrix Analysis and Applications
language:en
Short-container-title:SIAM J. Matrix Anal. & Appl.

Author:

Carson Erin,Demmel James W.

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Analysis

Link

http://epubs.siam.org/doi/pdf/10.1137/140990735

Reference33 articles.

1. A Newton basis GMRES implementation

2. Communication lower bounds and optimal algorithms for numerical linear algebra

3. A Residual Replacement Strategy for Improving the Maximum Attainable Accuracy of $s$-Step Krylov Subspace Methods

4. Avoiding Communication in Nonsymmetric Lanczos-Based Krylov Subspace Methods

5. On the efficient implementation of preconditioned s-step conjugate gradient methods on multiprocessors with memory hierarchy

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