6. Issue # 4

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

Prokhorov Vladislav Sergeevich
Scopus Author ID: 58561491300
1. Novosibirsk State University, Novosibirsk, Russia
v.prokhorov@g.nsu.ru
The material was received by the Editorial Board: 17.09.2024

The paper studies the problem of the location of the matrix spectrum inside the region bounded by a parabola. An algorithm for solving this spectral problem is proposed in terms of solving some generalized Lyapunov matrix equation.

УДК 512.643.4

Location of the Spectrum of a Matrix in a Domain Bounded by a Parabola
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Keywords: Lyapunov type matrix equations, Krein’s theorem, matrix spectrum.

References: Prokhorov Vladislav Sergeevich Location of the Spectrum of a Matrix in a Domain Bounded by a Parabola. Mat. Trudy. 2024, 27, № 4. P. 93–114. DOI: 10.25205/1560-750X-2024-27-4-93-114