Subtotálně pozitivní a Mongeovy matice

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F06%3A00031791" target="_blank" >RIV/67985807:_____/06:00031791 - isvavai.cz</a>
Výsledek na webu
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DOI - Digital Object Identifier
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Jazyk výsledku
angličtina
Název v původním jazyce
Subtotally Positive and Monge Matrices
Popis výsledku v původním jazyce
A real matrix is called k-subtotally positive if the determinants of all its submatrices of order at most k are positive. We show that for an m x n matrix, only mn inequalities determine such class for every k, 1 <= k <= min(m, n). Spectral properties ofsquare k-subtotally positive matrices are studied. Finally, completion problems for 2-subtotally positive matrices and their additive counterpart, the anti-Monge matrices, are investigated. Since totally positive matrices are 2-subtotally positive as well, the presented necessary conditions for this completion problem are also necessary conditions for totally positive matrices.
Název v anglickém jazyce
Subtotally Positive and Monge Matrices
Popis výsledku anglicky
A real matrix is called k-subtotally positive if the determinants of all its submatrices of order at most k are positive. We show that for an m x n matrix, only mn inequalities determine such class for every k, 1 <= k <= min(m, n). Spectral properties ofsquare k-subtotally positive matrices are studied. Finally, completion problems for 2-subtotally positive matrices and their additive counterpart, the anti-Monge matrices, are investigated. Since totally positive matrices are 2-subtotally positive as well, the presented necessary conditions for this completion problem are also necessary conditions for totally positive matrices.

Druh
J<sub>x</sub> - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
CEP obor
BA - Obecná matematika
OECD FORD obor
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Rok uplatnění
2006
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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