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Location of the Spectrum of a Matrix in a Domain Bounded by a Parabola. / Prokhorov, V. S.

In: Siberian Advances in Mathematics, Vol. 34, No. 4, 14.01.2025, p. 337-349.

Research output: Contribution to journal › Article › peer-review

Harvard

Prokhorov, VS 2025, 'Location of the Spectrum of a Matrix in a Domain Bounded by a Parabola', Siberian Advances in Mathematics, vol. 34, no. 4, pp. 337-349. https://doi.org/10.1134/S1055134424040096

APA

Prokhorov, V. S. (2025). Location of the Spectrum of a Matrix in a Domain Bounded by a Parabola. Siberian Advances in Mathematics, 34(4), 337-349. https://doi.org/10.1134/S1055134424040096

Vancouver

Prokhorov VS. Location of the Spectrum of a Matrix in a Domain Bounded by a Parabola. Siberian Advances in Mathematics. 2025 Jan 14;34(4):337-349. doi: 10.1134/S1055134424040096

Author

Prokhorov, V. S. / Location of the Spectrum of a Matrix in a Domain Bounded by a Parabola. In: Siberian Advances in Mathematics. 2025 ; Vol. 34, No. 4. pp. 337-349.

BibTeX

@article{2260a0368d4c49cbb3ac3a988a860295,
title = "Location of the Spectrum of a Matrix in a Domain Bounded by a Parabola",
abstract = "Abstract: We consider the problem on location of the matrix spectrum in a domain bounded bya parabola. We suggest an algorithm reducing solution of this problem to solution of a generalizedLyapunov type matrix equation.",
keywords = "Krein{\textquoteright}s theorem, Lyapunov type matrix equations, matrix spectrum",
author = "Prokhorov, {V. S.}",
note = "The work was partially supported by the Mathematical Center in Akademgorodok (agreement 075-15-2022-282 with the Russian Ministry of Science and Higher Education).",
year = "2025",
month = jan,
day = "14",
doi = "10.1134/S1055134424040096",
language = "English",
volume = "34",
pages = "337--349",
journal = "Siberian Advances in Mathematics",
issn = "1055-1344",
publisher = "PLEIADES PUBLISHING INC",
number = "4",

}

RIS

TY - JOUR

T1 - Location of the Spectrum of a Matrix in a Domain Bounded by a Parabola

AU - Prokhorov, V. S.

N1 - The work was partially supported by the Mathematical Center in Akademgorodok (agreement 075-15-2022-282 with the Russian Ministry of Science and Higher Education).

PY - 2025/1/14

Y1 - 2025/1/14

N2 - Abstract: We consider the problem on location of the matrix spectrum in a domain bounded bya parabola. We suggest an algorithm reducing solution of this problem to solution of a generalizedLyapunov type matrix equation.

AB - Abstract: We consider the problem on location of the matrix spectrum in a domain bounded bya parabola. We suggest an algorithm reducing solution of this problem to solution of a generalizedLyapunov type matrix equation.

KW - Krein’s theorem

KW - Lyapunov type matrix equations

KW - matrix spectrum

UR - https://www.mendeley.com/catalogue/b2230c40-9e5c-3328-a9b2-7efbe2931e87/

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85217383627&origin=inward&txGid=03850261d3298be2c4ebf67af2fdc6ee

U2 - 10.1134/S1055134424040096

DO - 10.1134/S1055134424040096

M3 - Article

VL - 34

SP - 337

EP - 349

JO - Siberian Advances in Mathematics

JF - Siberian Advances in Mathematics

SN - 1055-1344

IS - 4

ER -

ID: 64717611