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  • Je dokázána následující věta: jsou-li dány čtvercové matice A, D stejného řádu, D nezáporná, potom buď rovnice Ax+B|x|=b má pro každou matici B takovou, že |B|<=D a pro každou pravou stranu b právě jedno řešení, nebo rovnice Ax + B_0|x| = 0 má netriviální řešení pro jistou matici B_0 velmi speciálního tvaru, |B_0| <= D; tyto dvě alternativy se vzájemně vylučují.... (cs)
  • The following theorem is proved: given square matrices A, D of the same size, D nonnegative, then either the equation Ax + B|x| = b has a unique solution for each B with |B| le D and for each b, or the equation Ax + B0|x| = 0 has a nontrivial solution for some matrix B0 of a very special form, |B0| le D; the two alternatives exclude each other.....
  • The following theorem is proved: given square matrices A, D of the same size, D nonnegative, then either the equation Ax + B|x| = b has a unique solution for each B with |B| le D and for each b, or the equation Ax + B0|x| = 0 has a nontrivial solution for some matrix B0 of a very special form, |B0| le D; the two alternatives exclude each other..... (en)
Title
  • A Theorem of the Alternatives for the Equation Ax + B|x| = b
  • Věta o alternativách pro rovnici Ax+B|x|=b (cs)
  • A Theorem of the Alternatives for the Equation Ax + B|x| = b (en)
skos:prefLabel
  • A Theorem of the Alternatives for the Equation Ax + B|x| = b
  • Věta o alternativách pro rovnici Ax+B|x|=b (cs)
  • A Theorem of the Alternatives for the Equation Ax + B|x| = b (en)
skos:notation
  • RIV/67985807:_____/04:00105250!RIV/2005/AV0/A06005/N
http://linked.open.../vavai/riv/strany
  • 421;426
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/01/0343), Z(AV0Z1030915)
http://linked.open...iv/cisloPeriodika
  • -
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
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http://linked.open...dnocenehoVysledku
  • 553239
http://linked.open...ai/riv/idVysledku
  • RIV/67985807:_____/04:00105250
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • nonlinear equation; existence; uniqueness; interval matrix; eigenvalue (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [430B32765D19]
http://linked.open...i/riv/nazevZdroje
  • Linear and 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
  • 52
http://linked.open...iv/tvurceVysledku
  • Rohn, Jiří
http://linked.open...n/vavai/riv/zamer
issn
  • 0308-1087
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