H.K. Wimmer, A Jordan factorization for polynomial matrices, Proceedings of the American Math. Soc. 75 (1979), no. 2, 201--206.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....= X; A; Y ) of H( satisfies deg det DW ( order Sigma = dim A and there exists a realization (X o ; A o ; Y o ) such that the equality holds. The non unity invariant factors of A o and of DW ( are the same. This is a classical result. The proof may be found in several papers. We refer to [7, 40] or to [17] and references therein. Given D Y ( next result states precisely how to choose X so that the generating polynomial remains unchanged. It is proven using also classical arguments from linear system theory (see [17] for instance) Lemma 4.2. Let DY ( and DW ( be the minimal ....

H.K. Wimmer, A Jordan factorization for polynomial matrices, Proceedings of the American Math. Soc. 75 (1979), no. 2, 201--206.

....= X; A; Y ) of H( satisfies deg det DW ( order Sigma = dim A and there exists a realization (X o ; A o ; Y o ) such that the equality holds. The non unity invariant factors of A o and of DW ( are the same. This is a classical result. The proof may be found in several papers. We refer to [7, 40] or to [17] and references therein. Given D Y ( next result states precisely how to choose X so that the generating polynomial remains unchanged. It is proven using also classical arguments from linear system theory (see [17] for instance) STUDY OF COPPERSMITH S ALGORITHM USING MATRIX ....

H.K. Wimmer, A Jordan factorization for polynomial matrices, Proceedings of the American Math. Soc. 75 (1979), no. 2, 201--206.

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