On normal and structured matrices under unitary structure-preserving transformations
| Autor: | Heike Faßbender, Philip Saltenberger, Erna Begović Kovač |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Numerical Analysis
Pure mathematics Algebra and Number Theory 65F30 15B99 0211 other engineering and technologies Skew 021107 urban & regional planning Numerical Analysis (math.NA) 010103 numerical & computational mathematics 02 engineering and technology 01 natural sciences Unitary state symbols.namesake Normal matrices Hamiltonian Skew-Hamiltonian Per-Hermitian Perskew-Hermitian Symplectic Perplectic Jacobi-type algorithm Givens rotations Diagonalization FOS: Mathematics symbols Discrete Mathematics and Combinatorics Canonical form Mathematics - Numerical Analysis Geometry and Topology 0101 mathematics Hamiltonian (quantum mechanics) Mathematics |
| Zdroj: | Linear Algebra and its Applications. 608:322-342 |
| ISSN: | 0024-3795 |
| DOI: | 10.1016/j.laa.2020.09.019 |
| Popis: | Structured canonical forms under unitary and suitable structure-preserving similarity transformations for normal and (skew-)Hamiltonian as well as normal and per(skew)-Hermitian matrices are proposed. Moreover, an algorithm for computing those canonical forms is sketched. The original submission is split into two parts. The manuscript submitted here deals only with the derivation of structured canonical forms for normal structured matrices. 15 pages, 2 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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