The Polarization Theorem and Polynomial Identities for Matrix Functions
| Autor: | G. P. Egorychev |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Известия Иркутского государственного университета: Серия "Математика", Vol 21, Iss 1, Pp 77-88 (2017) |
| ISSN: | 2541-8785 1997-7670 |
| Popis: | In this article the simple combinatorial proof of the known polarization theorem (about the restoration of a polyadditive symmetric function over its values on a diagonal) is given. Known and new applications of this theorem for the reception of polynomial identities (the calculation) of several matrix functions is given, including a case of noncommutative variables and (first) the determinant of a space matrix are resulted. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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