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The digraphs and inclusion intervals of matrix singular values
Author(s) -
Tian GuiXian,
Huang TingZhu,
Cui ShuYu
Publication year - 2009
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/nla.638
Subject(s) - mathematics , singular value , matrix (chemical analysis) , inclusion (mineral) , linear algebra , digraph , combinatorics , scale (ratio) , algebra over a field , pure mathematics , geometry , eigenvalues and eigenvectors , gender studies , materials science , physics , quantum mechanics , sociology , composite material
The 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.