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JOURNALS // Matematicheskie Trudy // Archive

Mat. Tr., 2024 Volume 27, Number 4, Pages 93–114 (Mi mt722)

Location of the spectrum of a matrix in a domain bounded by a parabola

V. S. Prokhorov

Novosibirsk State University, Novosibirsk, 630090, Russia

Abstract: 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.

Key words: Lyapunov type matrix equations, Krein’s theorem, matrix spectrum.

UDC: 512.643.4

Received: 17.09.2024
Revised: 22.10.2024
Accepted: 30.10.2024

DOI: 10.25205/1560-750X-2024-27-4-93-114


 English version:
Siberian Advances in Mathematics, 2024, 34:4, 337–349


© Steklov Math. Inst. of RAS, 2026