SR分解的精细严格扰动界

IF 1 4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2021-12-22 DOI:10.1007/s11766-021-4086-x

Mahvish Samar, Aamir Farooq

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引用次数: 0

摘要

本文导出了给定矩阵在正态摄动或分量摄动下SR分解的一些新的严格摄动界。同时，利用分块矩阵-向量方程方法给出了混合条件数和分块条件数的显式表达式。假设和试验结果表明，这些新的边界总是比文献中比较的边界更紧密。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Refined rigorous perturbation bounds for the SR decomposition

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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来源期刊

Applied Mathematics-A Journal of Chinese Universities Series B MATHEMATICS, APPLIED-

自引率

10.00%

发文量

期刊介绍： Applied Mathematics promotes the integration of mathematics with other scientific disciplines, expanding its fields of study and promoting the development of relevant interdisciplinary subjects. The journal mainly publishes original research papers that apply mathematical concepts, theories and methods to other subjects such as physics, chemistry, biology, information science, energy, environmental science, economics, and finance. In addition, it also reports the latest developments and trends in which mathematics interacts with other disciplines. Readers include professors and students, professionals in applied mathematics, and engineers at research institutes and in industry. Applied Mathematics - A Journal of Chinese Universities has been an English-language quarterly since 1993. The English edition, abbreviated as Series B, has different contents than this Chinese edition, Series A.