A new block method for computing the Hamiltonian Schur form
type: Item
instance of: scholarly article
title: A new block method for computing the Hamiltonian Schur form
zbMATH Open document ID: 1168.65337
author: Volker Mehrmann
author: C. Schröder
author: David S. Watkins
published in: Linear Algebra and its Applications
publication date: 2009-06-23T00:00:00Z
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 15A21
Mathematics Subject Classification ID: 93B40
zbMATH DE Number: 5568999
zbMATH Keywords: linear-quadratic control
zbMATH Keywords: \(H_\infty \) control
zbMATH Keywords: Hamiltonian matrix
zbMATH Keywords: Hamiltonian real Schur form
zbMATH Keywords: symplectic matrix
zbMATH Keywords: eigenvalue cluster
describes a project that uses: Algorithm 854
MaRDI profile type: Publication
full work available at URL: j.laa.2009.01.026
OpenAlex ID: W2078847883
cites work: Matrix Riccati equations in control and systems theory
cites work: A robust numerical method for the \(\gamma\)-iteration in \(H_{\infty}\) control
cites work: Algorithm 854
cites work: Q4389721
cites work: A numerically stable, structure preserving method for computing the eigenvalues of real Hamiltonian or symplectic pencils
cites work: Matrix factorizations for symplectic QR-like methods
cites work: Q3138765
cites work: A numerical method for computing the Hamiltonian Schur form
cites work: Existence, uniqueness, and parametrization of Lagrangian invariant subspaces
cites work: Q5689624
cites work: Passivity Enforcement via Perturbation of Hamiltonian Matrices
cites work: Q4274974
cites work: An Algorithm for Numerical Computation of the Jordan Normal Form of a Complex Matrix
cites work: Q3902876
cites work: Numerical methods for general and structured eigenvalue problems.
cites work: A Schur method for solving algebraic Riccati equations
cites work: Canonical forms for Hamiltonian and symplectic matrices and pencils
cites work: Perturbation of purely imaginary eigenvalues of Hamiltonian matrices under structured perturbations
cites work: The autonomous linear quadratic control problem. Theory and numerical solution
cites work: A Schur decomposition for Hamiltonian matrices
cites work: Q3032836
cites work: An algorithm for numerical determination of the structure of a general matrix
cites work: On the reduction of a Hamiltonian matrix to Hamiltonian Schur form
cites work: The Matrix Eigenvalue Problem
DOI: 10.1016/J.LAA.2009.01.026
description: scientific article; zbMATH DE number 5568999