On connected components in the set of divisors of a monic matrix polynomial |
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| Authors: | Leiba Rodman |
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| Institution: | Department of Mathematics and Statistics The University of Calgary Calgary, Alberta, Canada |
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| Abstract: | Let A(λ) be a monic matrix polynomial. The topological properties (in particular, connectedness) of the set of all right monic divisors of A(λ) with the same determinant are investigated. It turns out that such set of divisors is not connected in general. Sufficient conditions (in terms of the elementary divisors of A(λ)) for its connectedness are provided. |
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