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Combined matrices in special classes of matrices
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SYSNO ASEP 0360426 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Combined matrices in special classes of matrices Author(s) Fiedler, Miroslav (UIVT-O) SAI, RID
Markham, T. L. (US)Source Title Linear Algebra and Its Applications. - : Elsevier - ISSN 0024-3795
Roč. 435, č. 8 (2011), s. 1945-1955Number of pages 11 s. Language eng - English Country US - United States Keywords combined matrix ; Hadamard product ; positive definite matrix ; M-matrix ; totally positive matrix ; oscillatory matrix ; Cauchy matrix Subject RIV BA - General Mathematics CEZ AV0Z10300504 - UIVT-O (2005-2011) UT WOS 000292439500009 EID SCOPUS 79958780829 DOI 10.1016/j.laa.2011.03.054 Annotation The combined matrix of a nonsingular matrix A is the matrix A o (A(-1))(T), where o means the Hadamard (entrywise) product. It has simple properties, its row- as well as column-sums are always one, and it is not changed if A is multiplied from either side by a nonsingular diagonal matrix. Although it is usually difficult to compute, its further properties deserve attention. In the paper, we concentrate on the sequence of the diagonal entries of combined matrices in various classes of matrices. Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2012
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