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Description
  • As is well known, an irreducible nonnegative matrix possesses a uniquely determined Perron vector. As the main result of this article we give a description of the set of Perron vectors of all the matrices contained in an irreducible nonnegative interval matrix A. This result is then applied to show that there exists a subset A(*) of A parameterized by n parameters (instead of n(2) ones in the description of A) such that for each A is an element of A there exists a matrix A is an element of A(*) having the same spectral radius and the same Perron vector as A.
  • As is well known, an irreducible nonnegative matrix possesses a uniquely determined Perron vector. As the main result of this article we give a description of the set of Perron vectors of all the matrices contained in an irreducible nonnegative interval matrix A. This result is then applied to show that there exists a subset A(*) of A parameterized by n parameters (instead of n(2) ones in the description of A) such that for each A is an element of A there exists a matrix A is an element of A(*) having the same spectral radius and the same Perron vector as A. (en)
  • Je podán popis množiny Perronových vektorů všech matic obsažených v dané ireducibilní nezáporné intervalové matici. (cs)
Title
  • Perron Vectors of an Irreducible Nonnegative Interval Matrix
  • Perron Vectors of an Irreducible Nonnegative Interval Matrix (en)
  • Perronovy vektory ireducibilní nezáporné intervalové matice (cs)
skos:prefLabel
  • Perron Vectors of an Irreducible Nonnegative Interval Matrix
  • Perron Vectors of an Irreducible Nonnegative Interval Matrix (en)
  • Perronovy vektory ireducibilní nezáporné intervalové matice (cs)
skos:notation
  • RIV/67985807:_____/06:00041655!RIV07-AV0-67985807
http://linked.open.../vavai/riv/strany
  • 399;404
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(1ET400300415), Z(AV0Z10300504)
http://linked.open...iv/cisloPeriodika
  • 6
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
  • 491815
http://linked.open...ai/riv/idVysledku
  • RIV/67985807:_____/06:00041655
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • nonnegative matrix; irreducible matrix; interval matrix; Perron vector (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [DCC1125F1866]
http://linked.open...i/riv/nazevZdroje
  • Linear & Multilinear Algebra
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
  • 54
http://linked.open...iv/tvurceVysledku
  • Rohn, Jiří
http://linked.open...n/vavai/riv/zamer
issn
  • 0308-1087
number of pages
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