Standard

On the Real Stability Radius for Some Classes of Matrices. / Калинина, Елизавета Александровна; Утешев, Алексей Юрьевич.

Computer Algebra in Scientific Computing - 23rd International Workshop, CASC 2021, Proceedings. ed. / François Boulier; Matthew England; Timur M. Sadykov; Evgenii V. Vorozhtsov. Vol. LNCS 12865 Springer Nature, 2021. p. 192-208 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 12865 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Калинина, ЕА & Утешев, АЮ 2021, On the Real Stability Radius for Some Classes of Matrices. in F Boulier, M England, TM Sadykov & EV Vorozhtsov (eds), Computer Algebra in Scientific Computing - 23rd International Workshop, CASC 2021, Proceedings. vol. LNCS 12865, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 12865 LNCS, Springer Nature, pp. 192-208, Computer Algebra in Scientific Computing, Sochi, Russian Federation, 13/09/21. https://doi.org/10.1007/978-3-030-85165-1_12

APA

Калинина, Е. А., & Утешев, А. Ю. (2021). On the Real Stability Radius for Some Classes of Matrices. In F. Boulier, M. England, T. M. Sadykov, & E. V. Vorozhtsov (Eds.), Computer Algebra in Scientific Computing - 23rd International Workshop, CASC 2021, Proceedings (Vol. LNCS 12865, pp. 192-208). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 12865 LNCS). Springer Nature. https://doi.org/10.1007/978-3-030-85165-1_12

Vancouver

Калинина ЕА, Утешев АЮ. On the Real Stability Radius for Some Classes of Matrices. In Boulier F, England M, Sadykov TM, Vorozhtsov EV, editors, Computer Algebra in Scientific Computing - 23rd International Workshop, CASC 2021, Proceedings. Vol. LNCS 12865. Springer Nature. 2021. p. 192-208. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-030-85165-1_12

Author

Калинина, Елизавета Александровна ; Утешев, Алексей Юрьевич. / On the Real Stability Radius for Some Classes of Matrices. Computer Algebra in Scientific Computing - 23rd International Workshop, CASC 2021, Proceedings. editor / François Boulier ; Matthew England ; Timur M. Sadykov ; Evgenii V. Vorozhtsov. Vol. LNCS 12865 Springer Nature, 2021. pp. 192-208 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

BibTeX

@inproceedings{0db448c8b7e54802ba63bf8269339e29,
title = "On the Real Stability Radius for Some Classes of Matrices",
abstract = "We continue investigations on the Frobenius norm real stability radius computation started in the previous publication by the authors (LNCS, vol. 12291 (2020)). With the use of the elimination of variables procedure we reduce the problem to the univariate equation solving. The structure of the destabilizing perturbation matrix is also discussed as well as cases of symmetric and orthogonal matrices where the stability radius can be explicitly expressed via the matrix eigenvalues. Several examples are presented.",
keywords = "Distance to instability, Frobenius norm, Real destabilizing perturbation, Stability radius",
author = "Калинина, {Елизавета Александровна} and Утешев, {Алексей Юрьевич}",
year = "2021",
doi = "10.1007/978-3-030-85165-1_12",
language = "English",
isbn = "9783030851644",
volume = "LNCS 12865",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Nature",
pages = "192--208",
editor = "Fran{\c c}ois Boulier and Matthew England and Sadykov, {Timur M.} and Vorozhtsov, {Evgenii V.}",
booktitle = "Computer Algebra in Scientific Computing - 23rd International Workshop, CASC 2021, Proceedings",
address = "Germany",
note = "Computer Algebra in Scientific Computing, CASC 2021 ; Conference date: 13-09-2021 Through 17-09-2021",

}

RIS

TY - GEN

T1 - On the Real Stability Radius for Some Classes of Matrices

AU - Калинина, Елизавета Александровна

AU - Утешев, Алексей Юрьевич

N1 - Conference code: 23

PY - 2021

Y1 - 2021

N2 - We continue investigations on the Frobenius norm real stability radius computation started in the previous publication by the authors (LNCS, vol. 12291 (2020)). With the use of the elimination of variables procedure we reduce the problem to the univariate equation solving. The structure of the destabilizing perturbation matrix is also discussed as well as cases of symmetric and orthogonal matrices where the stability radius can be explicitly expressed via the matrix eigenvalues. Several examples are presented.

AB - We continue investigations on the Frobenius norm real stability radius computation started in the previous publication by the authors (LNCS, vol. 12291 (2020)). With the use of the elimination of variables procedure we reduce the problem to the univariate equation solving. The structure of the destabilizing perturbation matrix is also discussed as well as cases of symmetric and orthogonal matrices where the stability radius can be explicitly expressed via the matrix eigenvalues. Several examples are presented.

KW - Distance to instability

KW - Frobenius norm

KW - Real destabilizing perturbation

KW - Stability radius

UR - http://www.scopus.com/inward/record.url?scp=85115149131&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/68835707-d6d8-3808-a594-25ecd22f9d1e/

U2 - 10.1007/978-3-030-85165-1_12

DO - 10.1007/978-3-030-85165-1_12

M3 - Conference contribution

SN - 9783030851644

VL - LNCS 12865

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 192

EP - 208

BT - Computer Algebra in Scientific Computing - 23rd International Workshop, CASC 2021, Proceedings

A2 - Boulier, François

A2 - England, Matthew

A2 - Sadykov, Timur M.

A2 - Vorozhtsov, Evgenii V.

PB - Springer Nature

T2 - Computer Algebra in Scientific Computing

Y2 - 13 September 2021 through 17 September 2021

ER -

ID: 85387433