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A Note on Strongly Dense Matrices
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SYSNO ASEP 0457691 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title A Note on Strongly Dense Matrices Author(s) Fiedler, Miroslav (UIVT-O) SAI, RID
Hall, F.J. (US)Source Title European Journal of Mathematics - ISSN 2199-675X
Roč. 1, č. 4 (2015), s. 721-730Number of pages 10 s. Language eng - English Country DE - Germany Keywords strongly dense matrix ; Boolean matrix ; nonnegative matrix ; idempotent matrix ; intrinsic product ; generalized complementary basic matrix Subject RIV BA - General Mathematics Institutional support UIVT-O - RVO:67985807 UT WOS 000413244400006 EID SCOPUS 84958683971 DOI 10.1007/s40879-015-0079-8 Annotation In this note, strongly dense matrices are defined and some basic properties of these matrices are obtained. In particular, it is shown that for nonnegative and Boolean matrices, the product of conformable strongly dense matrices is strongly dense. Structural characterizations are presented for the idempotent nonnegative strongly dense matrices, as well as for the idempotent Boolean strongly dense matrices with a full diagonal. Connections with generalized complementary basic matrices are made. Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2016
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