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arXiv:0709.2470 [math.RT]AbstractReferencesReviewsResources

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

Vladimir V. Sergeichuk

Published 2007-09-16Version 1

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.

Comments: 34 pages
Journal: Linear Algebra Appl. 376 (2004) 235-263
Categories: math.RT
Subjects: 15A21, 15A22, 16G20
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