The digraphs and inclusion intervals of matrix singular values

descriptionPublicationkeyboard_double_arrow_right Article 05 Mar 2009 English Publisher:WileyJournal:Numerical Linear Algebra with Applications, volume 16, pages 677-687 (issn: 1070-5325, eissn: 1099-1506,

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Authors: Gui-Xian Tian; Ting-Zhu Huang; Shu-Yu Cui;

doi: 10.1002/nla.638

The digraphs and inclusion intervals of matrix singular values

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Abstract

AbstractThe paper investigates the inclusion intervals of matrix singular values. By employing the digraph of a matrix, some new inclusion intervals of matrix singular values are presented. These intervals are based mainly on the use of positive scale vectors and their intersections. Theoretic analysis and numerical examples show that these results improve and generalize some known results of Li et al. (Numer. Linear Algebra Appl. 2007; 14(2):115–128) and Kolotilina (J. Math. Sci. 2006; 137(3):4794–4800). Copyright © 2009 John Wiley & Sons, Ltd.

Related Organizations

University of Electronic Science and Technology of China
China (People's Republic of)
Heze University
China (People's Republic of)

Keywords

inclusion interval, Directed graphs (digraphs), tournaments, singular value, digraph

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