Regularizing decompositions for matrix pencils and a topological classification of pairs of linear mappings
arXiv:1403.2645 · doi:10.1016/j.laa.2014.03.002
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.
20 pages
References in corpus (7)
- A regularization algorithm for matrices of bilinear and sesquilinear forms
- Computation of the canonical form for the matrices of chains and cycles of linear mappings
- Conjugacy classes of affine automorphisms of K^n and linear automorphisms of P^n in the Cremona groups
- Representations of quivers and mixed graphs
- Topological classification of affine operators on unitary and Euclidean spaces
- Topological classification of chains of linear mappings
- Topological classification of oriented cycles of linear mappings