V. N. Kublanovskaya, “To solving problems of algebra for two-parameter matrices. 8”, Computational methods and algorithms. Part XXIII, Zap. Nauchn. Sem. POMI, 382, POMI, St. Petersburg, 2010, 150–167; J. Math. Sci. (N. Y.), 176:1 (2011), 83

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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 382, Pages 150–167 (Mi znsl3867)

This article is cited in 5 scientific papers (total in 6 papers)

To solving problems of algebra for two-parameter matrices. 8

V. N. Kublanovskaya

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

Full-text PDF (223 kB) Citations (6)

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Abstract: The paper discusses the method of hereditary pencils for computing points of the regular and singular spectra of a general two-parameter polynomial matrix. The method allows one to reduce solution of the spectral problems metioned above to solving eigenproblems for polynomial matrices and pencils of constant matrices.
Algorithms realizing the method are suggested and justified. Bibl. 4 titles.

Key words and phrases: two-parameter matrix, pencil of constant matrices, pencil of polynomial matrices, hereditary pencils, regular spectrum, singular spectrum.

Received: 15.03.2010

English version:
Journal of Mathematical Sciences (New York), 2011, Volume 176, Issue 1, Pages 83–92
DOI: https://doi.org/10.1007/s10958-011-0396-5

Bibliographic databases:

Document Type: Article

UDC: 519

Language: Russian

Citation: V. N. Kublanovskaya, “To solving problems of algebra for two-parameter matrices. 8”, Computational methods and algorithms. Part XXIII, Zap. Nauchn. Sem. POMI, 382, POMI, St. Petersburg, 2010, 150–167; J. Math. Sci. (N. Y.), 176:1 (2011), 83–92

Citation in format AMSBIB

\Bibitem{Kub10}

\by V.~N.~Kublanovskaya

\paper To solving problems of algebra for two-parameter matrices.~8

\inbook Computational methods and algorithms. Part~XXIII

\serial Zap. Nauchn. Sem. POMI

\yr 2010

\vol 382

\pages 150--167

\publ POMI

\publaddr St.~Petersburg

\mathnet{http://mi.mathnet.ru/znsl3867}

\transl

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

\yr 2011

\vol 176

\issue 1

\pages 83--92

\crossref{https://doi.org/10.1007/s10958-011-0396-5}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79958248581}

Linking options:

https://www.mathnet.ru/eng/znsl3867

https://www.mathnet.ru/eng/znsl/v382/p150

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 6 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:	246
Full-text PDF :	63
References:	51

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