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arXiv · 1403.2645

Regularizing decompositions for matrix pencils and a topological classification of pairs of linear mappings

Vyacheslav Futorny·Tetiana Rybalkina·Vladimir V. Sergeichuk
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Abstract

We give a method for constructing a regularizing decomposition of a matrix pencil, which is formulated in terms of the linear mappings. We prove that two pencils are topologically equivalent if and only if their regularizing decompositions coincide up to permutation of summands and their regular parts coincide up to homeomorphisms of their spaces.

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Vyacheslav Futorny, Tetiana Rybalkina, Vladimir V. Sergeichuk. 2014-03-11. Regularizing decompositions for matrix pencils and a topological classification of pairs of linear mappings. https://doi.org/10.1016/j.laa.2014.03.002

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