An extended Hamiltonian QR algorithm
type: Item
instance of: scholarly article
title: An extended Hamiltonian QR algorithm
zbMATH Open document ID: 1376.65049
author: Micol Ferranti
author: Bruno Iannazzo
author: Thomas Mach
author: Raf Vandebril
published in: Calcolo
publication date: 2017-10-27T00:00:00Z
full work available at URL: https://lirias.kuleuven.be/handle/123456789/542262
Mathematics Subject Classification ID: 65F15
zbMATH DE Number: 6798994
zbMATH Keywords: QR algorithm
zbMATH Keywords: Hamiltonian eigenvalue problems
zbMATH Keywords: extended Hessenberg matrices
zbMATH Keywords: convergence
zbMATH Keywords: Krylov subspace
zbMATH Keywords: numerical experiment
describes a project that uses: eiscor
describes a project that uses: GitHub
MaRDI profile type: Publication
OpenAlex ID: W2408702307
cites work: On Hamiltonian and symplectic Hessenberg forms
cites work: A Generalization of the Multishift QR Algorithm
cites work: Symplectic balancing of Hamiltonian matrices
cites work: Balancing sparse Hamiltonian eigenproblems
cites work: Q4672103
cites work: Bidirectional Chasing Algorithms for the Eigenvalue Problem
cites work: A new method for computing the stable invariant subspace of a real Hamiltonian matrix
cites work: Numerical Solution of Algebraic Riccati Equations
cites work: The multishift QR algorithm. I: Maintaining well-focused shifts and level 3 performance
cites work: The multishift QR algorithm. II: Aggressive early deflation
cites work: An analysis of the HR algorithm for computing the eigenvalues of a matrix
cites work: A Hamiltonian $QR$ Algorithm
cites work: Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle
cites work: A numerical method for computing the Hamiltonian Schur form
cites work: An extended Hessenberg form for Hamiltonian matrices
cites work: The QR Transformation A Unitary Analogue to the LR Transformation--Part 1
cites work: Optimally packed chains of bulges in multishift QR algorithms
cites work: Generalized Schwarz form and lattice - ladder realizations of digital filters
cites work: Numerical methods for general and structured eigenvalue problems.
cites work: A Schur method for solving algebraic Riccati equations
cites work: Computing approximate extended Krylov subspaces without explicit inversion
cites work: Inverse eigenvalue problems for extended Hessenberg and extended tridiagonal matrices
cites work: On deflations in extended QR algorithms
cites work: The autonomous linear quadratic control problem. Theory and numerical solution
cites work: A new block method for computing the Hamiltonian Schur form
cites work: A Schur decomposition for Hamiltonian matrices
cites work: Stability of structured Hamiltonian eigensolvers
cites work: Chasing Bulges or Rotations? A Metamorphosis of the QR-Algorithm
cites work: Some Perspectives on the Eigenvalue Problem
cites work: The transmission of shifts and shift blurring in the QR algorithm
cites work: Bulge Exchanges in Algorithms of QR Type
cites work: A case where balancing is harmful
cites work: On the reduction of a Hamiltonian matrix to Hamiltonian Schur form
cites work: The Matrix Eigenvalue Problem
cites work: Francis’s Algorithm
cites work: Q4039860
DOI: 10.1007/S10092-017-0220-9
description: scientific article; zbMATH DE number 6798994