On entire matrix-valued functions |
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Authors: | Pavla Mizori-Oblak Ivan Vidav |
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Affiliation: | Department of Mathematics University of Ljubljana Ljubljana, Yugoslavia |
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Abstract: | Let A(z) be a given polynomial n×n matrix with det A(z)=1. It is shown that there exists an entire matrix-valued function X(z) such that expX(z)=A(z) if and only if the eigenvalues of A(z) are independent of z. |
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