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
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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.
@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},
publisher = {mathdoc},
volume = {359},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2008_359_a11/}
}
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/