Refined rigorous perturbation bounds for the SR decomposition

Mahvish Samar; Aamir Farooq

doi:10.1007/s11766-021-4086-x

Refined rigorous perturbation bounds for the SR decomposition

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	537-553
Number of pages	17
Journal	Applied Mathematics
Volume	36
Issue number	4
DOIs	https://doi.org/10.1007/s11766-021-4086-x
State	Published - Oct 1 2021
Externally published	Yes

ASJC Scopus subject areas

Applied Mathematics

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10.1007/s11766-021-4086-x

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AB - 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.

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Refined rigorous perturbation bounds for the SR decomposition

Abstract

ASJC Scopus subject areas

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