Factorization of matrix polynomials with multiple roots |
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| Authors: | J Maroulas |
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| Institution: | Department of Mathematics National Technical University of Athens Athens,Greece and visiting;Department of Mathematics and Statistics University of Calgary Alberta, Canada |
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| Abstract: | The concept of a multiple root of matrix polynomial L(λ) is introduced, and associated spectral properties of L(λ) are investigated. A statement concerning factorization of L(λ) is presented. Applications are made to factorizations of the matrix polynomial Lα(λ), for any positive integer α. |
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