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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	It is proved that the singular value condition $\sigma_{\max}(\|B\|)<\sigma_{\min}(A)$ implies unique solvability of the absolute value equation $Ax+B\|x\|=b$ for each right-hand side $b$.. This is a generalization of an earlier result by Mangasarian and Meyer proved for the special case of $B=-I$. It is proved that the singular value condition $\sigma_{\max}(\|B\|)<\sigma_{\min}(A)$ implies unique solvability of the absolute value equation $Ax+B\|x\|=b$ for each right-hand side $b$.. This is a generalization of an earlier result by Mangasarian and Meyer proved for the special case of $B=-I$. (en)
Title	On Unique Solvability of the Absolute Value Equation On Unique Solvability of the Absolute Value Equation (en)
skos:prefLabel	On Unique Solvability of the Absolute Value Equation On Unique Solvability of the Absolute Value Equation (en)
skos:notation	RIV/67985807:_____/09:00328409!RIV10-AV0-67985807
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/09/1957), P(GC201/08/J020), Z(AV0Z10300504)
http://linked.open...iv/cisloPeriodika	4
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Rohn, Jiří
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav informatiky AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	331624
http://linked.open...ai/riv/idVysledku	RIV/67985807:_____/09:00328409
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	absolute value equation; unique solution; singular values (en)
http://linked.open.../riv/klicoveSlovo	singular values unique solution absolute value equation
http://linked.open...odStatuVydavatele	DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV	[100DC7D034E3]
http://linked.open...i/riv/nazevZdroje	Optimization Letters
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Development of methods for solving large scale nonlinear programming and nonsmooth optimization problems Verification of Hybrid Systems - Exploiting the Synergy with Underlying Constraint Solving Technology
http://linked.open...UplatneniVysledku	2009
http://linked.open...v/svazekPeriodika	3
http://linked.open...iv/tvurceVysledku	Rohn, Jiří
http://linked.open...ain/vavai/riv/wos	000268445100013
http://linked.open...n/vavai/riv/zamer	Informatika pro informační společnost: modely, algoritmy, aplikace
issn	1862-4472
number of pages	4 (xsd:int)
is http://linked.open...avai/riv/vysledek of	On Unique Solvability of the Absolute Value Equation On Unique Solvability of the Absolute Value Equation On Unique Solvability of the Absolute Value Equation On Unique Solvability of the Absolute Value Equation

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