Toeplitz matrices with totally nonnegative inverses |
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| Authors: | Jens Lorenz Wolfgang Mackens |
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| Affiliation: | Institut für Numerische und instrumentelle Mathematik der Universität Münster Roxeler Strasse 64 D-4400 Münster, Germany;Institut für Mathematik der Ruhr-Universität Bochum Universitätsstrasse 150 D-4630 Bochum, Germany |
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| Abstract: | ![]()
It is shown that the inverse of a Toeplitz matrix has only nonnegative minors if the zeros of a certain polynomial are positive or if their arguments are less than π?(k+n), where n is the dimension and k+1 is the bandwidth of the matrix. |
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