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Description of All Solutions of a Linear Complementarity Problem
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SYSNO ASEP 0323687 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Description of All Solutions of a Linear Complementarity Problem Title Popis množiny řešení problému lineární komplementarity Author(s) Rohn, Jiří (UIVT-O) SAI, RID, ORCID Source Title Electronic Journal of Linear Algebra. - : International Linear Algebra Society - ISSN 1537-9582
Roč. 18, - (2009), s. 246-252Number of pages 7 s. Language eng - English Country IL - Israel Keywords linear complementarity problem ; Moore-Penrose inverse ; verified solution ; absolute value equation Subject RIV BA - General Mathematics R&D Projects GA201/09/1957 GA ČR - Czech Science Foundation (CSF) GC201/08/J020 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10300504 - UIVT-O (2005-2011) UT WOS 000266308900002 EID SCOPUS 65749094275 DOI 10.13001/1081-3810.1309 Annotation Description of all solutions of an n×n linear complementarity problem $x^+=Mx^-+q$ in terms of $2^n$ matrices and their Moore-Penrose inverses is given. The result is applied to describe all solutions of the absolute value equation$Ax+B|x|=b$. Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2010
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