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Ranks of dense alternating sign matrices and their sign patterns
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SYSNO ASEP 0440679 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Ranks of dense alternating sign matrices and their sign patterns Author(s) Fiedler, Miroslav (MU-W) RID, SAI
Gao, W. (US)
Hall, F.J. (US)
Jing, G. (US)
Li, Z. (US)
Stroev, M. (US)Source Title Linear Algebra and Its Applications. - : Elsevier - ISSN 0024-3795
Roč. 471, April (2015), s. 109-121Number of pages 13 s. Language eng - English Country US - United States Keywords alternating sign matrix ; dense matrix ; sign pattern matrix Subject RIV BA - General Mathematics R&D Projects GA14-07880S GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 UT WOS 000350918400009 EID SCOPUS 84921340546 DOI 10.1016/j.laa.2014.12.034 Annotation In this paper, an explicit formula for the ranks of dense alternating sign matrices is obtained. The minimum rank and the maximum rank of the sign pattern of a dense alternating sign matrix are determined. Some related results and examples are also provided. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2016
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