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Description
  • We consider the eigenvalue problem for the case where the input matrix is symmetric and its entries are perturbed, with perturbations belonging to some given intervals. We present a characterization of some of the exact boundary points, which allows us to introduce an inner approximation algorithm, that in many case estimates exact bounds. To our knowledge, this is the first algorithm that is able to guarantee exactness. We illustrate our approach by several examples and numerical experiments.
  • We consider the eigenvalue problem for the case where the input matrix is symmetric and its entries are perturbed, with perturbations belonging to some given intervals. We present a characterization of some of the exact boundary points, which allows us to introduce an inner approximation algorithm, that in many case estimates exact bounds. To our knowledge, this is the first algorithm that is able to guarantee exactness. We illustrate our approach by several examples and numerical experiments. (en)
Title
  • Characterizing and approximating eigenvalue sets of symmetric interval matrices
  • Characterizing and approximating eigenvalue sets of symmetric interval matrices (en)
skos:prefLabel
  • Characterizing and approximating eigenvalue sets of symmetric interval matrices
  • Characterizing and approximating eigenvalue sets of symmetric interval matrices (en)
skos:notation
  • RIV/00216208:11320/11:10100366!RIV12-MSM-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM0021620838)
http://linked.open...iv/cisloPeriodika
  • 8
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 190017
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/11:10100366
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • interval matrix; symmetric matrix; eigenvalues (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [7FAC11C38981]
http://linked.open...i/riv/nazevZdroje
  • Computers and Mathematics with Applications
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 62
http://linked.open...iv/tvurceVysledku
  • David, Daney
  • Elias P., Tsigaridas
  • Hladík, Milan
http://linked.open...ain/vavai/riv/wos
  • 000296213200027
http://linked.open...n/vavai/riv/zamer
issn
  • 0898-1221
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.camwa.2011.08.028
http://localhost/t...ganizacniJednotka
  • 11320
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