Refined rigorous perturbation bounds for the SR decomposition

Mahvish Samar, Aamir Farooq

Research output: Contribution to journalArticlepeer-review

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 languageEnglish (US)
Pages (from-to)537-553
Number of pages17
JournalApplied Mathematics
Volume36
Issue number4
DOIs
StatePublished - Oct 1 2021
Externally publishedYes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2023-09-21

ASJC Scopus subject areas

  • Applied Mathematics

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