A note on Ostrowski's Theorem
dc.creator | Hadjidimos, A. | en |
dc.date.accessioned | 2015-11-23T10:29:20Z | |
dc.date.available | 2015-11-23T10:29:20Z | |
dc.date.issued | 2013 | |
dc.identifier | 10.1016/j.laa.2013.10.009 | |
dc.identifier.issn | 0024-3795 | |
dc.identifier.uri | http://hdl.handle.net/11615/28266 | |
dc.description.abstract | In this note, a further extension of Ostrowski's Theorem, concerning mainly complex square irreducible matrices, is presented. Specifically, classes of irreducible matrices are determined for which the classical statement: "If for a matrix A = [a(ij)] is an element of C-nxn, n >= 2, relations vertical bar a(ij)vertical bar > (Sigma(n)(j=1)(,j not equal 1) vertical bar a(ij)vertical bar)(alpha) (Sigma(n)(j=1)(,j not equal 1) vertical bar a(ij)vertical bar)(1-alpha) are satisfied for all i is an element of {1, 2, ... , n} and for some alpha is an element of [0, 1], then, A is non-singular", can hold even if all the inequalities in it turn out to be equalities. (C) 2013 Elsevier Inc. All rights reserved. | en |
dc.source | Linear Algebra and Its Applications | en |
dc.source.uri | <Go to ISI>://WOS:000329016600009 | |
dc.subject | Ostrowski's Theorem | en |
dc.subject | Complex square irreducible matrices | en |
dc.subject | Weighted | en |
dc.subject | directed graphs | en |
dc.subject | MATRIX | en |
dc.subject | SET | en |
dc.subject | Mathematics, Applied | en |
dc.subject | Mathematics | en |
dc.title | A note on Ostrowski's Theorem | en |
dc.type | journalArticle | en |
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