To solving problems of algebra for two-parameter matrices.~4
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXII, Tome 367 (2009), pp. 121-144
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The paper considers applications of the linearization method to computing points of the finite regular and singular spectra of two-parameter polynomial matrices, of pencils of polynomial matrices of general form, and of two-parameter pencils of constant and polynomial matrices.
This method allows one to reduce the solution of the spectral problems mentioned above to the solution of the generalized eigenproblem for regular matrix pencils, which is a classical algebraic problem.
Also the linearization method is applied to computing the zeros of a polynomial in two variables and the common zeros of a sequence of polynomials in two variables. Bibl. – 3 titles.
@article{ZNSL_2009_367_a8,
author = {V. N. Kublanovskaya},
title = {To solving problems of algebra for two-parameter matrices.~4},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {121--144},
publisher = {mathdoc},
volume = {367},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2009_367_a8/}
}
V. N. Kublanovskaya. To solving problems of algebra for two-parameter matrices.~4. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXII, Tome 367 (2009), pp. 121-144. http://geodesic.mathdoc.fr/item/ZNSL_2009_367_a8/