The Vandermonde matrix in the commutative case
In complex Banach algebra, under the condition of separateness and spectral separateness, the conditions for the reversibility of the Vandermonde matrix are formulated and proved. The necessary and sufficient signs of reversibility of the Vandermonde matrix are given. Analogs of Sylvester's theorem are formulated.
Authors
- И. Д. Коструб (ORCID: https://orcid.org/0000-0002-5636-5071)
- А. И. Перов (ORCID: https://orcid.org/0000-0002-5198-1115)
Institutions
- Voronezh State University (RU)
Publication Details
- Journal
- Доклады Российской академии наук Математика информатика процессы управления
- Published
- 2024-10-03
- DOI
- https://doi.org/10.31857/s2686954324030057
- Primary Topic
- Mathematics and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00