A computer-aided method for the factorization of matrix polynomials†
- 1 January 1981
- journal article
- research article
- Published by Taylor & Francis in International Journal of Systems Science
- Vol. 12 (3) , 305-323
- https://doi.org/10.1080/00207728108963748
Abstract
An extended multidimensional Newton-Raphson method is proposed for the factorization of matrix polynomials. A root-locus approach and a matrix continued fraction approach are presented to make initial guesses for rapid convergence of the Newton-Raphson method. The computer-aided method can be used to determine the spectral factors of a matrix polynomial for the analysis and synthesis of kinematic and dynamic systems, and to obtain the spectral factorization of a matrix polynomial for optimal control and filtering problems. The same approach can be applied to determine the nth root of a real or complex matrix.Keywords
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