Abstract
In this article, some new rigorous perturbation bounds for the SR decomposition under normwise or componentwise perturbations for a given matrix are derived. Also, the explicit expressions for the mixed and componentwise condition numbers are presented by utilizing the block matrix-vector equation approach. Hypothetical and trial results demonstrate that these new bounds are constantly more tightly than the comparing ones in the literature.
Original language | English (US) |
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Pages (from-to) | 537-553 |
Number of pages | 17 |
Journal | Applied Mathematics |
Volume | 36 |
Issue number | 4 |
DOIs | |
State | Published - Oct 1 2021 |
Externally published | Yes |
Bibliographical note
Generated from Scopus record by KAUST IRTS on 2023-09-21ASJC Scopus subject areas
- Applied Mathematics