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Title: Latent roots of lambda-matrices, Kronecker sums and matricial norms (English)
Author: Vitória, José
Language: English
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 25
Issue: 6
Year: 1980
Pages: 395-399
Summary lang: English
Summary lang: Czech
Summary lang: Russian
Category: math
Summary: Kronecker sums and matricial norms are used in order to give a method for determining upper bounds for $\left|A\right|$ where $A$ is a latent root of a lambda-matrix. In particular, upper bounds for $\left|z\right|$ are obtained where $z$ is a zero of a polynomial with complex coefficients. The result is compared with other known bounds for $\left|z\right|$. (English)
Keyword: Kronecker sum
Keyword: latent roots
MSC: 15A42
MSC: 15A45
MSC: 30C15
idZBL: Zbl 0469.15005
idMR: MR0596845
DOI: 10.21136/AM.1980.103877
Date available: 2008-05-20T18:15:22Z
Last updated: 2020-07-28
Stable URL:
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