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A canonical form for regular pencils of matrices

✍ Scribed by Shaohua Tan; Joos Vandewalle

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
196 KB
Volume
7
Category
Article
ISSN
0167-6911

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πŸ“œ SIMILAR VOLUMES

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We study canonical forms for Hamiltonian and symplectic matrices or pencils under equivalence transformations which keep the class invariant. In contrast to other canonical forms our forms are as close as possible to a triangular structure in the same class. We give necessary and sufficient conditio

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A square matrix is nonderogatory if its Jordan blocks have distinct eigenvalues. We give canonical forms for (1) nonderogatory complex matrices up to unitary similarity, and (2) pairs of complex matrices up to similarity, in which one matrix has distinct eigenvalues. The types of these canonical fo