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arXiv · 0709.2470

Computation of the canonical form for the matrices of chains and cycles of linear mappings

Vladimir V. Sergeichuk
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Abstract

Paul Van Dooren [Linear Algebra Appl. 27 (1979) 103-140] constructed an algorithm for the computation of all irregular summands in Kronecker's canonical form of a matrix pencil. The algorithm is numerically stable since it uses only unitary transformations. We extend Paul Van Dooren's algorithm to the matrices of a cycle of linear mappings.

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BibTeXRIS

Vladimir V. Sergeichuk. 2007-09-16. Computation of the canonical form for the matrices of chains and cycles of linear mappings. https://doi.org/10.1016/j.laa.2003.07.001

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