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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 284, Pages 123–127 (Mi znsl1540)  
Computing the invariant polynomials of a polinomial matrix. 1

V. N. Kublanovskaya

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (123 kB)
Abstract: An algorithm for computing the invariant polynomials and the canonical triangular (trapezoidal) matrix for a polynomial matrix of full column rank is suggested. The algorithm is based on the rank-factorization $(\Delta W-1)$ method for solving algebraic problems for polynomial matrices, previously suggested by the author.
Received: 23.07.2001
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 121, Issue 4, Pages 2508–2510
DOI: https://doi.org/10.1023/B:JOTH.0000026287.84587.b9
Bibliographic databases:
UDC: 519
Language: Russian
Citation: V. N. Kublanovskaya, “Computing the invariant polynomials of a polinomial matrix. 1”, Computational methods and algorithms. Part XV, Zap. Nauchn. Sem. POMI, 284, POMI, St. Petersburg, 2002, 123–127; J. Math. Sci. (N. Y.), 121:4 (2004), 2508–2510
Citation in format AMSBIB
\Bibitem{Kub02}
\by V.~N.~Kublanovskaya
\paper Computing the invariant polynomials of a polinomial matrix.~1
\inbook Computational methods and algorithms. Part~XV
\serial Zap. Nauchn. Sem. POMI
\yr 2002
\vol 284
\pages 123--127
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1540}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1915078}
\zmath{https://zbmath.org/?q=an:1071.65051}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 121
\issue 4
\pages 2508--2510
\crossref{https://doi.org/10.1023/B:JOTH.0000026287.84587.b9}
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