Swapping \(2 \times 2\) blocks in the Schur and generalized Schur form

DOI10.1016/j.cam.2019.05.022OpenAlexW2947255795MaRDI QIDQ1989174

Daan Camps, Raf Vandebril, Nicola Mastronardi, Paul Van Dooren

Publication date: 24 April 2020

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2019.05.022

zbMATH Keywords

stabilityeigenvaluesSchur formreordering Schur form

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Iterative numerical methods for linear systems (65F10) Numerical solutions to inverse eigenvalue problems (65F18)

Related Items

Rational QZ steps with perfect shifts ⋮ A Multishift, Multipole Rational QZ Method with Aggressive Early Deflation

Uses Software

• DSUBSP
• HQR3 EXCHNG

Cites Work

• On swapping diagonal blocks in real Schur form
• A Generalized Eigenvalue Approach for Solving Riccati Equations
• Algorithm 590: DSUBSP and EXCHQZ  : FORTRAN Subroutines for Computing Deflating Subspaces with Specified Spectrum
• A Multishift, Multipole Rational QZ Method with Aggressive Early Deflation
• A Rational QZ Method
• Generalized Rational Krylov Decompositions with an Application to Rational Approximation