Rotationally invariant rank 1 convex functions.

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

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DOI - Digital Object Identifier

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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

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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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)

Publication year

2001

Confidentiality

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

Name of the periodical

Applied Mathematics & Optimization

ISSN

0095-4616

e-ISSN

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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

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EID of the result in the Scopus database

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