Monotonicity of rotationally invariant convex and rank 1 convex functions.

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F02%3A05020035" target="_blank" >RIV/67985840:_____/02:05020035 - 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

Monotonicity of rotationally invariant convex and rank 1 convex functions.

Original language description

Let f be a function on the space Lin of n by n matrices that is invariant with respect to the left and right multiplication by proper orthogonal tensors. It is shown that f(A) < f(B) if f is convex and the partial sums of the singular values of A, B fromLin satisfy certain ordering inequalities. The same holds if f is rank 1 convex and the partial products of the singular values satisfy analogous inequalities. The proofs emphasize the roles of the ordered-forces inequalities and the Baker-Ericksen.......

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

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2002

Confidentiality

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

Name of the periodical

Proceedings of the Royal Society of Edinburgh. ser. A - Mathematics

ISSN

0308-2105

e-ISSN

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Volume of the periodical

132 A

Issue of the periodical within the volume

N/A

Country of publishing house

GB - UNITED KINGDOM

Number of pages

17

Pages from-to

419-435

UT code for WoS article

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EID of the result in the Scopus database

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