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A random copositive matrix is completely positive with positive probability [Elektronski vir]Klep, Igor, matematik ; Štrekelj, Tea ; Zalar, AljažSimetrična matrika je kopozitivna, če je ustrezna kvadratna forma nenegativna na nenegativnem ortantu. Stožec kopozitivnih matrik strogo vsebuje stožec popolnoma pozitivnih matrik, tj. vse matrike, ... za katere obstaja Choleskyjev razpad nad nenegativnimi števili. Glavni rezultat, dokazan z uporabo Blekhermanovih tehnik in orodij konveksne geometrije, z idejami iz realne algebraične geometrije, kaže, da je asimptotično, ko gre dimenzija v neskončnost, razmerje volumskih polmerov obeh stožcev strogo pozitivno. Posledično enako velja za razmerje volumskih polmerov poljubnih dveh stožcev, ki sta vsebovana med njima, npr. stožca pozitivnih semidefinitnih matrik, matrik z nenegativnimi elementi, njunega preseka in vsote Minkowskega.Source: SIAM journal on applied algebra and geometry [Elektronski vir]. - ISSN 2470-6566 (Vol. 8, iss. 3, 2024, str. 583-611)Type of material - e-article ; adult, seriousPublish date - 2024Language - englishCOBISS.SI-ID - 204695555
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| Database name | Field | Year |
|---|
| Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
|---|---|
| Klep, Igor, matematik | 22353 |
| Štrekelj, Tea | 54105 |
| Zalar, Aljaž | 36360 |
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