V. N. Kublanovskaya, “To solving problems of algebra for two-parameter matrices. 9”, Computational methods and algorithms. Part XXIV, Zap. Nauchn. Sem. POMI, 395, POMI, St. Petersburg, 2011, 124–141; J. Math. Sci. (N. Y.), 182:6 (2012), 814

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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 395, Pages 124–141 (Mi znsl4645)

This article is cited in 2 scientific papers (total in 3 papers)

To solving problems of algebra for two-parameter matrices. 9

V. N. Kublanovskaya

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia

Full-text PDF (605 kB) Citations (3)

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Abstract: The paper continues investigations of the spectral characteristics of two-parameter polynomial matrices of general form. An approach to constructing algorithms for computing points of the regular, singular, and regular-singular spectra of a matrix is suggested and theoretically justified. New algorithms, based on combining rank factorization methods and the method of hereditary pencils, for computing spectrum points and spectral vectors and also new algorithms for finding points of the regular and singular spectra of two-parameter matrices linearly dependent on the parameters are proposed.

Key words and phrases: two-parameter polynomial matrix, regular and singular spectra, rank factorization, method of hereditory pencils, spectral vector.

Received: 05.05.2011

English version:
Journal of Mathematical Sciences (New York), 2012, Volume 182, Issue 6, Pages 814–822
DOI: https://doi.org/10.1007/s10958-012-0789-0

Bibliographic databases:

Document Type: Article

UDC: 519

Language: Russian

Citation: V. N. Kublanovskaya, “To solving problems of algebra for two-parameter matrices. 9”, Computational methods and algorithms. Part XXIV, Zap. Nauchn. Sem. POMI, 395, POMI, St. Petersburg, 2011, 124–141; J. Math. Sci. (N. Y.), 182:6 (2012), 814–822

Citation in format AMSBIB

\Bibitem{Kub11}

\by V.~N.~Kublanovskaya

\paper To solving problems of algebra for two-parameter matrices.~9

\inbook Computational methods and algorithms. Part~XXIV

\serial Zap. Nauchn. Sem. POMI

\yr 2011

\vol 395

\pages 124--141

\publ POMI

\publaddr St.~Petersburg

\mathnet{http://mi.mathnet.ru/znsl4645}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2870166}

\transl

\jour J. Math. Sci. (N. Y.)

\yr 2012

\vol 182

\issue 6

\pages 814--822

\crossref{https://doi.org/10.1007/s10958-012-0789-0}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84861785453}

Linking options:

https://www.mathnet.ru/eng/znsl4645

https://www.mathnet.ru/eng/znsl/v395/p124

Cycle of papers

To solving problems of algebra for two-parameter polynomial matrices. 1
V. N. Kublanovskaya
Zap. Nauchn. Sem. POMI, 2008, 359, 107–149
To solving problems of algebra for two-parameter matrices. 2
V. N. Kublanovskaya
Zap. Nauchn. Sem. POMI, 2008, 359, 150–165
To solving problems of algebra for two-parameter matrices. 3
V. N. Kublanovskaya, V. B. Khazanov
Zap. Nauchn. Sem. POMI, 2008, 359, 166–207
To solving problems of algebra for two-parameter matrices. 4
V. N. Kublanovskaya
Zap. Nauchn. Sem. POMI, 2009, 367, 121–144
To solving problems of algebra for two-parameter matrices. 5
V. N. Kublanovskaya
Zap. Nauchn. Sem. POMI, 2009, 367, 145–170
To solving problems of algebra for two-parameter matrices. 6
V. N. Kublanovskaya, V. B. Khazanov
Zap. Nauchn. Sem. POMI, 2009, 367, 171–186
To solving problems of algebra for two-parameter matrices. 7
V. N. Kublanovskaya, V. B. Khazanov
Zap. Nauchn. Sem. POMI, 2010, 382, 141–149
To solving problems of algebra for two-parameter matrices. 8
V. N. Kublanovskaya
Zap. Nauchn. Sem. POMI, 2010, 382, 150–167
To solving problems of algebra for two-parameter matrices. 9
V. N. Kublanovskaya
Zap. Nauchn. Sem. POMI, 2011, 395, 124–141
To solving problems of algebra for two-parameter matrices. 10
V. N. Kublanovskaya
Zap. Nauchn. Sem. POMI, 2012, 405, 170–185

This publication is cited in the following 3 articles:

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	204
Full-text PDF :	41
References:	42

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