Wihler, Thomas P. (2023). A GENERALIZED SASSENFELD CRITERION AND ITS RELATION TO H-MATRICES. Electronic transactions on numerical analysis, 58, pp. 621-628. Kent State University and Johann Radon Institute (RICAM) 10.1553/etna_vol58s621
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The starting point of this note is a decades-old yet little-noticed sufficient condition, presented by
Sassenfeld in 1951, for the convergence of the classical Gauß–Seidel method. The purpose of the present paper is to shed new light on Sassenfeld’s criterion and to demonstrate that it is closely related to H-matrices. In particular, our main result yields a novel characterization of H-matrices. In addition, a new convergence estimate for iterative linear solvers, which involve H-matrix preconditioners, is briefly discussed.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Wihler, Thomas |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
1068–9613 |
Publisher: |
Kent State University and Johann Radon Institute (RICAM) |
Language: |
English |
Submitter: |
Zarif Ibragimov |
Date Deposited: |
20 Dec 2023 15:10 |
Last Modified: |
20 Dec 2023 15:10 |
Publisher DOI: |
10.1553/etna_vol58s621 |
BORIS DOI: |
10.48350/190357 |
URI: |
https://boris.unibe.ch/id/eprint/190357 |
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