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

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

2007-09-16

arxiv.org/abs/0709.2470v1

Linear Algebra Appl. 376 (2004) 235-263

Mathematics

Representation Theory

34 pages

Scientific paper

10.1016/j.laa.2003.07.001

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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