A criterion for the convergence of the Mellin–Barnes integral for solutions to simultaneous algebraic equations
- Авторлар: Kulikov V.1
-
Мекемелер:
- Siberian Federal University
- Шығарылым: Том 58, № 3 (2017)
- Беттер: 493-499
- Бөлім: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171226
- DOI: https://doi.org/10.1134/S0037446617030120
- ID: 171226
Дәйексөз келтіру
Аннотация
We obtain a criterion for the convergence of the Mellin–Barnes integral representing the solution to a general system of algebraic equations. This yields a criterion for a nonnegative matrix to have positive principal minors. The proof rests on the Nilsson–Passare–Tsikh Theorem about the convergence domain of the general Mellin–Barnes integral, as well as some theorem of a linear algebra on a subdivision of the real space into polyhedral cones.
Негізгі сөздер
Авторлар туралы
V. Kulikov
Siberian Federal University
Хат алмасуға жауапты Автор.
Email: v.r.kulikov@mail.ru
Ресей, Krasnoyarsk
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