Počet záznamů: 1
Dominant matrices and max algebra
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SYSNO ASEP 0351435 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Dominant matrices and max algebra Tvůrce(i) Fiedler, Miroslav (UIVT-O) SAI, RID Zdroj.dok. Linear Algebra and Its Applications. - : Elsevier - ISSN 0024-3795
Roč. 434, č. 4 (2011), s. 1189-1194Poč.str. 6 s. Jazyk dok. eng - angličtina Země vyd. US - Spojené státy americké Klíč. slova totally positive matrix ; factorization ; Monge matrix ; (0,1) matrix Vědní obor RIV BA - Obecná matematika CEZ AV0Z10300504 - UIVT-O (2005-2011) UT WOS 000286864300023 EID SCOPUS 78650517640 DOI 10.1016/j.laa.2010.10.029 Anotace 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 2×2 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 Pracoviště Ústav informatiky Kontakt Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Rok sběru 2011
Počet záznamů: 1