Powers of Sign Portraits of Real Matrices |
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Authors: | Yu A Al'pin S N Il'in |
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Institution: | (1) Kazan' State University, Russia |
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Abstract: | The sign portrait S of a real n× n matrix is a matrix over the semiring with elements 0, 1, -1, and , where symbolizes indeterminateness. It is proved that if k is the least positive integer such that all the entries of S
k are equal to , then k 2n
2 – 3n + 2, and this bound is sharp. Bibliography: 6 titles. |
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Keywords: | |
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