On the existence of Schur-like forms for matrices with symmetry structures

DOI10.1007/s10013-020-00394-3zbMath1475.15015OpenAlexW3012279385MaRDI QIDQ2022388

Christian Mehl

Publication date: 29 April 2021

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-020-00394-3

zbMATH Keywords

indefinite inner productHamiltonian matrixpolynomially \(H\)-normal matrixSchur-like form

Mathematics Subject Classification ID

Quadratic and bilinear forms, inner products (15A63) Canonical forms, reductions, classification (15A21)

Cites Work

• On classification of normal matrices in an indefinite scalar product
• A Schur decomposition for Hamiltonian matrices
• Normal matrices
• The autonomous linear quadratic control problem. Theory and numerical solution
• Canonical forms for Hamiltonian and symplectic matrices and pencils
• Stability of invariant maximal semidefinite subspaces. I
• Finite-Dimensional Indefinite Inner Product Spaces and Applications in Numerical Analysis
• Classes of normal matrices in indefinite inner products
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