RESULTS ON THE RELATIVE PERTURBATION OF THE SINGULAR-VALUES OF A MATRIX

被引：7
|
作者：
DILENA, G [1 ]
PELUSO, RI [1 ]
PIAZZA, G [1 ]
机构：
[1] DIPARTIMENTO MATEMAT,I-70125 BARI,ITALY
来源：
BIT | 1993年 / 33卷 / 04期
关键词：
AMS (MOS) subject classification: 15A42; 15A18;
D O I：
10.1007/BF01990540
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
A highly accurate computation of the singular values of a matrix is a topic of current interest in the literature. In this paper we develop general bounds on relative perturbation of singular values. These bounds permit slight improvements in a unified derivation of some previous inequalities. The main result is a better criterion to neglect off-diagonal elements in the bidiagonal singular values decomposition.
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页码：647 / 653
页数：7
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