V. N. Kublanovskaya, “To solving problems of algebra for two-parameter matrices. 10”, Computational methods and algorithms. Part XXV, Zap. Nauchn. Sem. POMI, 405, POMI, St. Petersburg, 2012, 170–185; J. Math. Sci. (N. Y.), 191:1 (2013), 92

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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 405, Pages 170–185 (Mi znsl5286)

To solving problems of algebra for two-parameter matrices. 10

V. N. Kublanovskaya

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

Full-text PDF (209 kB) Citations (1)

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Abstract: The paper considers conditions under which rank factorizations of a two-parameter polynomial matrix can be effected with the use of unimodular matrices, as in the one-parameter case. Algorithms for computing such factorizations and a minimal basis of the null space of the corresponding matrix are presented. Also an algorithm for inverting unimodular two-parameter polynomial matrices is suggested.

Key words and phrases: two-parameter polynomial matrix, regular spectrum, singular spectrum, nullspace, rank factorization, free minimal basis.

Received: 20.02.2012

English version:
Journal of Mathematical Sciences (New York), 2013, Volume 191, Issue 1, Pages 92–100
DOI: https://doi.org/10.1007/s10958-013-1307-8

Bibliographic databases:

Document Type: Article

UDC: 519

Language: Russian

Citation: V. N. Kublanovskaya, “To solving problems of algebra for two-parameter matrices. 10”, Computational methods and algorithms. Part XXV, Zap. Nauchn. Sem. POMI, 405, POMI, St. Petersburg, 2012, 170–185; J. Math. Sci. (N. Y.), 191:1 (2013), 92–100

Citation in format AMSBIB

\Bibitem{Kub12}

\by V.~N.~Kublanovskaya

\paper To solving problems of algebra for two-parameter matrices.~10

\inbook Computational methods and algorithms. Part~XXV

\serial Zap. Nauchn. Sem. POMI

\yr 2012

\vol 405

\pages 170--185

\publ POMI

\publaddr St.~Petersburg

\mathnet{http://mi.mathnet.ru/znsl5286}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3029620}

\transl

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

\yr 2013

\vol 191

\issue 1

\pages 92--100

\crossref{https://doi.org/10.1007/s10958-013-1307-8}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884983696}

Linking options:

https://www.mathnet.ru/eng/znsl5286

https://www.mathnet.ru/eng/znsl/v405/p170

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 1 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:	280
Full-text PDF :	79
References:	52

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