✦ LIBER ✦

Short Communication: Two Properties of Diagonally Dominant Matrices

✍ Scribed by Xue-Rong Yong

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 148 KB
Volume: 3
Category: Article
ISSN: 1070-5325
DOI: 10.1002/(sici)1099-1506(199603/04)3:2<173::aid-nla69>3.0.co;2-c

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✦ Synopsis

A property of strictly diagonally dominant matrices and a generalization of a Varga's bound for ]]A-' lloo to the case 11A-l B [IoQ are given and the two-sided bounds for the determinants of strictly diagonally dominant matrices are derived. KEY WORDS diagonally dominant matrix; determinant; norm superscripts T and H denote the transpose and conjugate transpose, respectively. For a vector x = (XI, x2, . . . , Xn) and a matrix A, IIxIlw, and I(Allw means llxllw = max IxiI, and IlAllW = SUPllxllOc=l IlAXIlW, respectively.

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