On the elementary divisors of the Sylvester and Lyapunov maps |
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Authors: | PA Fuhrmann U Helmke |
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Institution: | a Department of Mathematics, Ben-Gurion University of the Negev, Beer Sheva, Israel b Universität Würzburg, Institut für Mathematik, Würzburg, Germany |
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Abstract: | The paper addresses the problem of computing the elementary divisors of the tensor product of linear transformations using the analysis of the tensor products of polynomial models, as developed in Fuhrmann and Helmke 5]. We use this to study the elementary divisors of the Lyapunov and complementary Lyapunov maps. |
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Keywords: | Tensor products Polynomial models Invariant factors The Sylvester map The Lyapunov map |
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