Location of the Spectrum of a Matrix in a Domain Bounded bya Parabola

We consider the problem on location of the matrix spectrum in a domain bounded by a parabola. We suggest an algorithm reducing solution of this problem to solution of a generalized Lyapunov type matrix equation.

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Publication Details

Journal
Siberian Advances in Mathematics
Published
2024-12-01
DOI
https://doi.org/10.1134/s1055134424040096
Primary Topic
Matrix Theory and Algorithms
Type
article
Field-Weighted Citation Impact
0.00
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article

Location of the Spectrum of a Matrix in a Domain Bounded bya Parabola

V.S. Prokhorov
Siberian Advances in Mathematics
Matrix Theory and Algorithms
article

Location of the Spectrum of a Matrix in a Domain Bounded bya Parabola

V.S. Prokhorov
article en

Abstract

We consider the problem on location of the matrix spectrum in a domain bounded by a parabola. We suggest an algorithm reducing solution of this problem to solution of a generalized Lyapunov type matrix equation.

Siberian Advances in MathematicsVol. 34(4)
Novosibirsk State University (RU)
Openalex Percentile: Top 70%
Matrix Theory and Algorithms
DOISourceOpenAlex
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Location of the Spectrum of a Matrix in a Domain Bounded bya Parabola — V.S. Prokhorov · Siberian Advances in Mathematics (2024) | TGRS Research Map | TGRS