A further sufficient condition for the determinantal conjecture
- Авторы: Шитов Я.Н.1
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Учреждения:
- Выпуск: Том 89, № 4 (2025)
- Страницы: 219-226
- Раздел: Статьи
- URL: https://journals.rcsi.science/1607-0046/article/view/306781
- DOI: https://doi.org/10.4213/im9292
- ID: 306781
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Аннотация
Let $A$, $B$ be $n\times n$ normal matrices with eigenvalues $(a_1,…,a_n)$, $(b_1,…,b_n)$, respectively. We show that $\det(A+B)$ lies in the convex hull ofif all eigenvalues of $A$, $B$ are real, except for three eigenvalues of $B$.
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Об авторах
Ярослав Николаевич Шитов
Автор, ответственный за переписку.
Email: yaroslav-shitov@yandex.ru
доктор физико-математических наук, без звания
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