A criterion for the convergence of the Mellin–Barnes integral for solutions to simultaneous algebraic equations
- Авторы: Kulikov V.1
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Учреждения:
- Siberian Federal University
- Выпуск: Том 58, № 3 (2017)
- Страницы: 493-499
- Раздел: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171226
- DOI: https://doi.org/10.1134/S0037446617030120
- ID: 171226
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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.
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Об авторах
V. Kulikov
Siberian Federal University
Автор, ответственный за переписку.
Email: v.r.kulikov@mail.ru
Россия, Krasnoyarsk
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