Dominant matrices and max algebra

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F11%3A00351435" target="_blank" >RIV/67985807:_____/11:00351435 - 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

Dominant matrices and max algebra

Original language description

We study the class of so-called totally dominant matrices in the usual algebra and in the max algebra in which the sum is the maximum and the multiplication is usual. It turns out that this class coincides with the well known class of positive matrices having positive the determinants of all 22 submatrices. The closure of this class is closed not only with respect to the usual but also with respect to the max multiplication. Further properties analogous to those of totally positive matrices are proved and some connections to Monge matrices are mentioned. Keywords: Totally positive matrix; Factorization; Monge matrix; (0,1) matrix

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

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2011

Confidentiality

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

Name of the periodical

Linear Algebra and Its Applications

ISSN

0024-3795

e-ISSN

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Volume of the periodical

434

Issue of the periodical within the volume

4

Country of publishing house

US - UNITED STATES

Number of pages

6

Pages from-to

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UT code for WoS article

000286864300023

EID of the result in the Scopus database

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