Displaying similar documents to “Modification of the Δ W - q factorization method for multiparameter polynomial matrices and their properties.”

Infinite elementary divisor structure-preserving transformations for polynomial matrices

Nicholas Karampetakis, Stavros Vologiannidis (2003)

International Journal of Applied Mathematics and Computer Science

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The main purpose of this work is to propose new notions of equivalence between polynomial matrices that preserve both the finite and infinite elementary divisor structures. The approach we use is twofold: (a) the 'homogeneous polynomial matrix approach', where in place of the polynomial matrices we study their homogeneous polynomial matrix forms and use 2-D equivalence transformations in order to preserve their elementary divisor structure, and (b) the 'polynomial matrix approach', where...

Existence and determination of the set of Metzler matrices for given stable polynomials

Tadeusz Kaczorek (2012)

International Journal of Applied Mathematics and Computer Science

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The problem of the existence and determination of the set of Metzler matrices for given stable polynomials is formulated and solved. Necessary and sufficient conditions are established for the existence of the set of Metzler matrices for given stable polynomials. A procedure for finding the set of Metzler matrices for given stable polynomials is proposed and illustrated with numerical examples.

Generating functions and Bézoutians

Vlastimil Pták (1996)

Mathematica Bohemica

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Using the idea of the generating function of a matrix in an extended sense we establish a Bezoutian type formula for a matrix M satisfying an intertwining relation of the form M A T = A M . In the particular case of classical generating functions this formula gives a simple proof of Lander’s theorem on the inverse of a Hankel matrix.