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Short Communication: Two Properties of Diagonally Dominant Matrices
Author(s) -
Yong XueRong
Publication year - 1996
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/(sici)1099-1506(199603/04)3:2<173::aid-nla69>3.0.co;2-c
Subject(s) - mathematics , diagonally dominant matrix , generalization , diagonal , combinatorics , property (philosophy) , discrete mathematics , pure mathematics , geometry , mathematical analysis , invertible matrix , philosophy , epistemology
A property of strictly diagonally dominant matrices and a generalization of a Varga's bound for ∥ A −1 ∥∞ to the case ∥ A −1 B∥∞ are given and the two‐sided bounds for the determinants of strictly diagonally dominant matrices are derived