A further sufficient condition for the determinantal conjecture
- Authors: Shitov Y.N.1
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Affiliations:
- Issue: Vol 89, No 4 (2025)
- Pages: 219-226
- Section: Articles
- URL: https://journal-vniispk.ru/1607-0046/article/view/306781
- DOI: https://doi.org/10.4213/im9292
- ID: 306781
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Abstract
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 $B$.
About the authors
Yaroslav Nikolaevich Shitov
Author for correspondence.
Email: yaroslav-shitov@yandex.ru
Doctor of physico-mathematical sciences, no status
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