On solvents-based model reduction of MIMO systems

Zabot, H.; Hariche, Kamel

doi:10.1080/00207729708929410

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Special Fractorization Algorithms1

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Cited by 7 publications

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“…The matrix quotient-difference Q.D. algorithm is a generalization of the scalar case [ [42]] and it is developed in [ [43]] The scalar Q.D. algorithm is used for finding the roots of a scalar polynomial.…”

Section: Special Fractorization Algorithmsmentioning

confidence: 99%

On The Block Decomposition and Spectral Factors of λ-Matrices

Bekhiti,

Dahimene,

Hariche

et al. 2018

Preprint

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In this paper we factorize matrix polynomials into a complete set of spectral factors using a new design algorithm and we provide a complete set of block roots (solvents). The procedure is an extension of the (scalar) Horner method for the computation of the block roots of matrix polynomials. The Block-Horner method brings an iterative nature, faster convergence, nested programmable scheme, needless of any prior knowledge of the matrix polynomial. In order to avoid the initial guess method we proposed a combination of two computational procedures . First we start giving the right Block-Q. D. (Quotient Difference) algorithm for spectral decomposition and matrix polynomial factorization. Then the construction of new block Horner algorithm for extracting the complete set of spectral factors is given.

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Section: Special Fractorization Algorithmsmentioning

confidence: 99%