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Algorithms for solving matrix polynomial equations of special form

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Abstract

In this paper we consider a series of algorithms for calculating radicals of matrix polynomial equations. A particular aspect of this problem arise in author’s work, concerning parameter identification of linear dynamic stochastic system. Special attention is given to searching the solution of an equation in a neighbourhood of some initial approximation.

The offered approaches and algorithms allow us to receive fast and quite exact solution. We give some recommendations for application of given algorithms.

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Dulov, E.V. Algorithms for solving matrix polynomial equations of special form. Korean J. Comput. & Appl. Math 7, 41–60 (2000). https://doi.org/10.1007/BF03009927

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  • DOI: https://doi.org/10.1007/BF03009927

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