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Bounds for the degrees of the entries of left inverses of polynomial matrices

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Abstract

We provide explicit bounds for the degrees of the polynomials which appear as the entries of the left inverse of a polynomial matrixF. When such an inverse does not exist, bounds can be given for the entries of the (1)-inverse ofF.

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Fabiano, A., Struppa, D.C. Bounds for the degrees of the entries of left inverses of polynomial matrices. Multidim Syst Sign Process 1, 67–74 (1990). https://doi.org/10.1007/BF01812207

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