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
A complete unitary similarity invariant for unicellular matrices
✍ Scribed by Douglas Farenick; Tatiana G. Gerasimova; Nadya Shvai
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 227 KB
- Volume
- 435
- Category
- Article
- ISSN
- 0024-3795
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📜 SIMILAR VOLUMES
Each square complex matrix is unitarily similar to an upper triangular matrix with diagonal entries in any prescribed order. Let A = [a ij ] and B = [b ij ] be upper triangular n × n matrices that • are not similar to direct sums of square matrices of smaller sizes, or • are in general position an
## Abstract A new iterative scheme is described for the solution of large linear systems of equations with a matrix of the form __A__ = ρ__U__ + ζ__I__, where ρ and ζ are constants, __U__ is a unitary matrix and __I__ is the identity matrix. We show that for such matrices a Krylov subspace basis ca