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Description
  • For a given linear mapping, determined by a square matrix A in a max-min algebra, the set S(A) consisting of all vectors with a unique pre-image (in short: the simple image set of A) is considered. It is shown that if the matrix A is generally trapezoidal, then the closure of S(A) is a subset of the set of all eigenvectors of A. In the general case, there is a permutation such that the closure of S(A) is a subset of the set of all permuted eigenvectors. The simple image set of the matrix square and the topological aspects of the problem are also described.
  • For a given linear mapping, determined by a square matrix A in a max-min algebra, the set S(A) consisting of all vectors with a unique pre-image (in short: the simple image set of A) is considered. It is shown that if the matrix A is generally trapezoidal, then the closure of S(A) is a subset of the set of all eigenvectors of A. In the general case, there is a permutation such that the closure of S(A) is a subset of the set of all permuted eigenvectors. The simple image set of the matrix square and the topological aspects of the problem are also described. (en)
  • Pro dané lineární zobrazení určené čtvercovou maticí A v max-min algebře, se popisuje množina S(A) skládající se z vektorů s jediným vzorem (označení: the simple image set of A). Je ukázáno, že když matice A je všeobecně lichoběžníková, pak uzávěr množiny S(A) je podmnožinou množiny všech vlastních vektorů matice A. Skoumají se také simple image set druhé mocniny čtvercové matice a topologické aspekty problému (cs)
Title
  • Simple image set of linear mappings in a max-min algebra
  • Simple image set of linear mappings in a max-min algebra (en)
  • Množina simple obrazů lineárních zobrazení v max-min algebře (cs)
skos:prefLabel
  • Simple image set of linear mappings in a max-min algebra
  • Simple image set of linear mappings in a max-min algebra (en)
  • Množina simple obrazů lineárních zobrazení v max-min algebře (cs)
skos:notation
  • RIV/62690094:18450/07:00002003!RIV08-GA0-18450___
http://linked.open.../vavai/riv/strany
  • 611-622
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA402/06/1071)
http://linked.open...iv/cisloPeriodika
  • 155
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 449816
http://linked.open...ai/riv/idVysledku
  • RIV/62690094:18450/07:00002003
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • strong regularity; max-min algebra; fuzzy algebra (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [7D7E0F38E91F]
http://linked.open...i/riv/nazevZdroje
  • Discrete Applied Mathematics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 2007
http://linked.open...iv/tvurceVysledku
  • Gavalec, Martin
  • Plavka, J.
issn
  • 0166-218X
number of pages
http://localhost/t...ganizacniJednotka
  • 18450
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