Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXI, Tome 359 (2008), pp. 150-165
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V. N. Kublanovskaya. To solving problems of algebra for two-parameter matrices. 2. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXI, Tome 359 (2008), pp. 150-165. http://geodesic.mathdoc.fr/item/ZNSL_2008_359_a11/
@article{ZNSL_2008_359_a11,
author = {V. N. Kublanovskaya},
title = {To solving problems of algebra for two-parameter matrices.~2},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {150--165},
year = {2008},
volume = {359},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2008_359_a11/}
}
TY - JOUR
AU - V. N. Kublanovskaya
TI - To solving problems of algebra for two-parameter matrices. 2
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2008
SP - 150
EP - 165
VL - 359
UR - http://geodesic.mathdoc.fr/item/ZNSL_2008_359_a11/
LA - ru
ID - ZNSL_2008_359_a11
ER -
%0 Journal Article
%A V. N. Kublanovskaya
%T To solving problems of algebra for two-parameter matrices. 2
%J Zapiski Nauchnykh Seminarov POMI
%D 2008
%P 150-165
%V 359
%U http://geodesic.mathdoc.fr/item/ZNSL_2008_359_a11/
%G ru
%F ZNSL_2008_359_a11
The paper continues the development and study of the $\Delta W$-2 method (a rank-factorization method) for solving problems for two-parameter matrices with polynomial and rational dependence on the parameters. New types of rank factorizations are suggested, along with the corresponding algorithms. Applications to solving the following problems are considered: computing irreducible factorizations of certain two-parameter rational matrices; computing the hereditary (invariant) polynomials; constructing free bases of the null-spaces of polynomial solutions of a two-parameter matrix; computing adjoint matrices, and inverting unimodular matrices. Bibl. – 4 titles.
