About: Minimum Distance to The Range of a Banded Lower Triangular Toeplitz Operator in l1 and Application in L1-Optimal Control     Goto   Sponge   NotDistinct   Permalink

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  • Není k dispozici (cs)
  • The subject of the paper is the best approximation in l1 of a given infnite sequence by sequences in the range of a given banded lower-triangular Toeplitz operator. Necessary and sufficient conditions for the existence of a minimizing solution are established and a numerical algorithm for finding such a solution is designed and theoretically founded. It is also shown that an optimal error sequence is only fnitely nonzero. The relevancy of the problem in systems theory is outlined and numerical examples are presented.
  • The subject of the paper is the best approximation in l1 of a given infnite sequence by sequences in the range of a given banded lower-triangular Toeplitz operator. Necessary and sufficient conditions for the existence of a minimizing solution are established and a numerical algorithm for finding such a solution is designed and theoretically founded. It is also shown that an optimal error sequence is only fnitely nonzero. The relevancy of the problem in systems theory is outlined and numerical examples are presented. (en)
Title
  • Minimum Distance to The Range of a Banded Lower Triangular Toeplitz Operator in l1 and Application in L1-Optimal Control
  • Není k dispozici (cs)
  • Minimum Distance to The Range of a Banded Lower Triangular Toeplitz Operator in l1 and Application in L1-Optimal Control (en)
skos:prefLabel
  • Minimum Distance to The Range of a Banded Lower Triangular Toeplitz Operator in l1 and Application in L1-Optimal Control
  • Není k dispozici (cs)
  • Minimum Distance to The Range of a Banded Lower Triangular Toeplitz Operator in l1 and Application in L1-Optimal Control (en)
skos:notation
  • RIV/68407700:21230/06:03121750!RIV07-MSM-21230___
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  • P(1M0567)
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  • 1
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http://linked.open...dnocenehoVysledku
  • 485908
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21230/06:03121750
http://linked.open...riv/jazykVysledku
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  • Toeplitz operator; banded; lower-triangular; minimum distance problem; range (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [7F8A0ED9797B]
http://linked.open...i/riv/nazevZdroje
  • SIAM Journal on Control and Optimization
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 45
http://linked.open...iv/tvurceVysledku
  • Hurák, Zdeněk
  • Šebek, Michael
  • Bottcher, A.
issn
  • 0363-0129
number of pages
http://localhost/t...ganizacniJednotka
  • 21230
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