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Rotationally invariant rank 1 convex functions.

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F01%3A05010052" target="_blank" >RIV/67985840:_____/01:05010052 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Rotationally invariant rank 1 convex functions.

  • Original language description

    Let fi be a function on the set IM nxn of all n by n real matrices. If fi is rotationally invariant with respect to the proper orthogonal group, it has a representation fi through the signed singular values of the matrix argument A...IM nxn. Necessary and sufficient conditions are given for the rank 1 convexity of fi in terms of fi.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA201%2F00%2F1516" target="_blank" >GA201/00/1516: Microstructure, relaxation, phase transitions, and hysteresis in shape memory alloys</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2001

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Applied Mathematics & Optimization

  • ISSN

    0095-4616

  • e-ISSN

  • Volume of the periodical

    44

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    16

  • Pages from-to

    1-15

  • UT code for WoS article

  • EID of the result in the Scopus database