V. N. Kublanovskaya, V. B. Khazanov, “To solving problems of algebra for two-parameter matrices. 7”, Computational methods and algorithms. Part XXIII, Zap. Nauchn. Sem. POMI, 382, POMI, St. Petersburg, 2010, 141–149; J. Math. Sci. (N. Y.), 176:1 (2011), 78

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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 382, Pages 141–149 (Mi znsl3866)

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

To solving problems of algebra for two-parameter matrices. 7

V. N. Kublanovskaya^a, V. B. Khazanov^b

^a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
^b St. Petersburg State Marine Technical University, St. Petersburg, Russia

Full-text PDF (166 kB) Citations (3)

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Abstract: The paper discusses the rank-factorization method for solving spectral problems for two-parameter polynomial matrices. New forms of rank factorization for matrices free of the singular spectrum are suggested. The algorithms for computing them use unimodular matrices only. The paper suggests conditions sufficient for a matrix to have no singular spectrum and also conditions sufficient for a basis matrix of the null-space to have neither the finite regular, nor the finite singular spectrum. Bibl. 3 titles.

Key words and phrases: two-parameter matrix, polynomil matrix, rank factorization, regular spectrum, singular spectrum, null-space.

Received: 12.03.2010

English version:
Journal of Mathematical Sciences (New York), 2011, Volume 176, Issue 1, Pages 78–82
DOI: https://doi.org/10.1007/s10958-011-0395-6

Bibliographic databases:

Document Type: Article

UDC: 519

Language: Russian

Citation: V. N. Kublanovskaya, V. B. Khazanov, “To solving problems of algebra for two-parameter matrices. 7”, Computational methods and algorithms. Part XXIII, Zap. Nauchn. Sem. POMI, 382, POMI, St. Petersburg, 2010, 141–149; J. Math. Sci. (N. Y.), 176:1 (2011), 78–82

Citation in format AMSBIB

\Bibitem{KubKha10}

\by V.~N.~Kublanovskaya, V.~B.~Khazanov

\paper To solving problems of algebra for two-parameter matrices.~7

\inbook Computational methods and algorithms. Part~XXIII

\serial Zap. Nauchn. Sem. POMI

\yr 2010

\vol 382

\pages 141--149

\publ POMI

\publaddr St.~Petersburg

\mathnet{http://mi.mathnet.ru/znsl3866}

\transl

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

\yr 2011

\vol 176

\issue 1

\pages 78--82

\crossref{https://doi.org/10.1007/s10958-011-0395-6}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79958292978}

Linking options:

https://www.mathnet.ru/eng/znsl3866

https://www.mathnet.ru/eng/znsl/v382/p141

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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Full-text PDF :	47
References:	43

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