Anti-triangular and anti-\(m\)-Hessenberg forms for Hermitian matrices and pencils

DOI10.1016/S0024-3795(00)00156-7zbMath0966.15007OpenAlexW2073105383WikidataQ127203627 ScholiaQ127203627MaRDI QIDQ1587894

Christian Mehl

Publication date: 12 August 2001

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0024-3795(00)00156-7

zbMATH Keywords

canonical formsnumerical stabilityunitary similarity transformationHermitian pencilsHessenberg formssimultaneous congruencecondensed formssign condensed form

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)

Related Items (3)

Parameter-Dependent Rank-One Perturbations of Singular Hermitian Or Symmetric Pencils ⋮ Low-rank perturbation of regular matrix pencils with symmetry structures ⋮ On doubly structured matrices and pencils that arise in linear response theory.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Normal forms of symplectic pencils and the discrete-time algebraic Riccati equation
• On Hamiltonian and symplectic Hessenberg forms
• Pencils of complex and real symmetric and skew matrices
• A Schur decomposition for Hamiltonian matrices
• Matrices and indefinite scalar products
• Existence, uniqueness, and stability of solutions to singular linear quadratic optimal control problems
• The autonomous linear quadratic control problem. Theory and numerical solution
• Efficient solution of quadratic eigenproblems arising in dynamic analysis of structures
• The characteristic polynomial of a principal subpencil of a Hermitian matrix pencil
• Numerical solutions for large sparse quadratic eigenvalue problems
• Canonical forms for Hamiltonian and symplectic matrices and pencils
• Normal forms of elements of classical real and complex Lie and Jordan algebras
• Evaluation ofu -w andu - π finite element methods for the dynamic response of saturated porous media using one-dimensional models
• A survey of matrix inverse eigenvalue problems
• A Schur method for solving algebraic Riccati equations
• A Chart of Numerical Methods for Structured Eigenvalue Problems
• Condensed Forms for Skew-Hamiltonian/Hamiltonian Pencils

This page was built for publication: Anti-triangular and anti-\(m\)-Hessenberg forms for Hermitian matrices and pencils