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Methods for solving some parametric problems of algebra

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An Erratum to this article was published on 01 March 2007

Abstract

Methods for solving the following parametric problems are considered: division of scalar and matrix polynomials and computation of their GCD and LCM; finding bases of the sum, difference, and intersection of the linear spans of polynomial vectors; constructing a minimal MFD (matrix fraction description) of a rational matrix; computing a range basis and a minimal basis of the null-space of a rational matrix; solving matrix equations and computing inverses and pseudoinverses (both for polynomial and rational matrices); computing generating eigenvectors of a polynomial matrix. Bibliography: 16 titles.

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  1. St.Petersburg State Marine Technical University, St.Petersburg, Russia

    V. B. Khazanov

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  1. V. B. Khazanov
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__________

Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 323, 2005, pp. 164–181.

An erratum to this article is available at http://dx.doi.org/10.1007/s10958-007-0080-y.

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Khazanov, V.B. Methods for solving some parametric problems of algebra. J Math Sci 137, 4852–4861 (2006). https://doi.org/10.1007/s10958-006-0283-7

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  • DOI: https://doi.org/10.1007/s10958-006-0283-7

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