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  • Let f be a function defined on the set M2x2 of all 2 by 2 matrices that is invariant with respect to left and right multiplications of its argument by proper orthogonal matrices. The function f can be represented as a function f of the signed singular values of its matrix argument. The paper expresses the ordinary convexity, polyconvexity, and rank 1 convexity of f in terms.
  • Let f be a function defined on the set M2x2 of all 2 by 2 matrices that is invariant with respect to left and right multiplications of its argument by proper orthogonal matrices. The function f can be represented as a function f of the signed singular values of its matrix argument. The paper expresses the ordinary convexity, polyconvexity, and rank 1 convexity of f in terms. (en)
  • Necht´f je funkce definovaná na množině Lin všech 2 krát 2 matic, invariantní vzhledem k levému a pravému násobení svého argumentu vlastními ortogonálními maticemi. Funkce f může být reprezentována pomocí funkce F znaménkových singulárních hodnot svého maticového argumentu. Článek vyjadřuje obyčejnou konvexitu, polykonvexitu a rank 1 konvexitu funkce f pomocí reprezentační funkce F. (cs)
Title
  • On semiconvexity properties of rotationally invariant functions in two dimensions
  • On semiconvexity properties of rotationally invariant functions in two dimensions (en)
  • O vlastnostech semikonvexity rotačně invariantních funkcí ve dvou dimenzích (cs)
skos:prefLabel
  • On semiconvexity properties of rotationally invariant functions in two dimensions
  • On semiconvexity properties of rotationally invariant functions in two dimensions (en)
  • O vlastnostech semikonvexity rotačně invariantních funkcí ve dvou dimenzích (cs)
skos:notation
  • RIV/67985840:_____/04:00106933!RIV/2005/GA0/A05005/N
http://linked.open.../vavai/riv/strany
  • 559;571
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/00/1516), Z(AV0Z1019905)
http://linked.open...iv/cisloPeriodika
  • 3
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
  • 577810
http://linked.open...ai/riv/idVysledku
  • RIV/67985840:_____/04:00106933
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • semiconvexity;rank 1 convexity;polyconvexity (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CZ - Česká republika
http://linked.open...ontrolniKodProRIV
  • [110988EAC77B]
http://linked.open...i/riv/nazevZdroje
  • Czechoslovak Mathematical Journal
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
  • Šilhavý, Miroslav
http://linked.open...n/vavai/riv/zamer
issn
  • 0011-4642
number of pages
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