A theorem of the alternatives for the equation |Ax| - |B||x| = b

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SYSNO ASEP	0362978
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	A theorem of the alternatives for the equation \|Ax\| - \|B\|\|x\| = b
Author(s)	Rohn, Jiří (UIVT-O)_{SAI, RID, ORCID}
Source Title	Optimization Letters. - : Springer - ISSN 1862-4472 Roč. 6, č. 3 (2012), s. 585-591
Number of pages	7 s.
Language	eng - English
Country	DE - Germany
Keywords	absolute value equation ; triple absolute value equation ; alternatives ; solution set ; interval matrix ; regularity
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	000300849900017
EID SCOPUS	84857641776
DOI	10.1007/s11590-011-0284-4
Annotation	A theorem of the alternatives for the triple absolute value equation is proved and several consequences are drawn. In particular, a class of matrices is identified for which the equation has an exponential number of solutions for each positive right-hand side.
Workplace	Institute of Computer Science
Contact	Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800
Year of Publishing	2012

Number of the records: 1