Methods for solving some parameter problems of algebra
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XVIII, Tome 323 (2005), pp. 164-181 Cet article a éte moissonné depuis la source Math-Net.Ru

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Methods for solving the following parameter 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 span 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 inverse and pseudoinverse matrices (both for polynomial and rational objects); computing generating eigenvectors of a polynomial matrix.
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V. B. Khazanov. Methods for solving some parameter problems of algebra. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XVIII, Tome 323 (2005), pp. 164-181. http://geodesic.mathdoc.fr/item/ZNSL_2005_323_a11/

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