About: Regularity of Interval Matrices and Theorems of the Alternatives

Facets (new session)
Description
Metadata
Settings
- owl:sameAs
- Inference Rule:

About: Regularity of Interval Matrices and Theorems of the Alternatives Goto Sponge NotDistinct Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Je uvedeno několik nutných a postačujících podmínek regularity intervalových matic. Všechny mají souvislost s řešitelností jistých soustav lineárních nebo nelineárních nerovností. Nejilustrativnější z nich je tato: intervalová matice $[A_c-/Delta,A_c+Delta]$ je regulární právě když nelineární nerovnost $\|x\|>/Delta\|A_c^{-1} x\|$ má řešení v každém ortantu. Tyto výsledky jsou dále použity k důkazu dvou vět o alternativách pro soustavy nerovností s absolutními hodnotami. (cs) We give several characterizations of regularity of interval matrices. All of them have to do with solvability of certain systems of nonlinear equations or inequalities. The most illustrative of them is the following one: an interval matrix $[A_c-/Delta,A_c+Delta]$ is regular if and only if the nonlinear inequality $\|x\|>/Delta\|A_c^{-1} x\|$ has a solution in each orthant. These results are then applied to derive two theorems of the alternatives for inequalities with absolute values. We give several characterizations of regularity of interval matrices. All of them have to do with solvability of certain systems of nonlinear equations or inequalities. The most illustrative of them is the following one: an interval matrix $[A_c-/Delta,A_c+Delta]$ is regular if and only if the nonlinear inequality $\|x\|>/Delta\|A_c^{-1} x\|$ has a solution in each orthant. These results are then applied to derive two theorems of the alternatives for inequalities with absolute values. (en)
Title	Regularity of Interval Matrices and Theorems of the Alternatives Regularity of Interval Matrices and Theorems of the Alternatives (en) Regularita intervalových matic a věty o alternativách (cs)
skos:prefLabel	Regularity of Interval Matrices and Theorems of the Alternatives Regularity of Interval Matrices and Theorems of the Alternatives (en) Regularita intervalových matic a věty o alternativách (cs)
skos:notation	RIV/67985807:_____/06:00032028!RIV07-AV0-67985807
http://linked.open.../vavai/riv/strany	99;105
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(1ET400300415), Z(AV0Z10300504)
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2007
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	496971
http://linked.open...ai/riv/idVysledku	RIV/67985807:_____/06:00032028
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	interval matrix; regularity; nonlinear inequality; theorem of the alternatives (en)
http://linked.open.../riv/klicoveSlovo	nonlinear inequality theorem of the alternatives interval matrix regularity
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[BF82AF901670]
http://linked.open...i/riv/nazevZdroje	Reliable Computing
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	Modelling and simulation of complex technical problems:effective numerical algorithms and parallel implementation using new information technologie
http://linked.open...UplatneniVysledku	2006
http://linked.open...v/svazekPeriodika	12
http://linked.open...iv/tvurceVysledku	Rohn, Jiří
http://linked.open...n/vavai/riv/zamer	Informatika pro informační společnost: modely, algoritmy, aplikace
issn	1385-3139
number of pages	7 (xsd:int)
is http://linked.open...avai/riv/vysledek of	Regularity of Interval Matrices and Theorems of the Alternatives Regularity of Interval Matrices and Theorems of the Alternatives

Faceted Search & Find service v1.16.118 as of Jun 21 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 07.20.3240 as of Jun 21 2024, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (126 GB total memory, 58 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software