Criss-Cross Type Algorithms for Computing the Real Pseudospectral Abscissa

DOI10.1137/16M107952XzbMath1373.65024MaRDI QIDQ5358298

Ding Lu, Bart Vandereycken

Publication date: 20 September 2017

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

algorithmsubspace methodsrobust stabilitynumerical exampleseigenvalue problemFrobenius normspectral abscissaspectral normcriss-cross methodsreal pseudospectra

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (2)

Subspace Acceleration for the Crawford Number and Related Eigenvalue Optimization Problems ⋮ Subspace method for the estimation of large-scale structured real stability radius

Uses Software

• ARPACK
• Eigtool
• Seigtool

Cites Work

• Eigenvalues, pseudospectrum and structured perturbations
• On the computation of structured singular values and pseudospectra
• On spectral variations under bounded real matrix perturbations
• Real perturbation values and real quadratic forms in a complex vector space
• A formula for computation of the real stability radius
• A fast algorithm for the computation of an upper bound on the \(\mu\)-norm
• On the Method by Rostami for Computing the Real Stability Radius of Large and Sparse Matrices
• Subspace Methods for Computing the Pseudospectral Abscissa and the Stability Radius
• Differential Equations for Roaming Pseudospectra: Paths to Extremal Points and Boundary Tracking
• New Algorithms for Computing the Real Structured Pseudospectral Abscissa and the Real Stability Radius of Large and Sparse Matrices
• A Bisection Method for Measuring the Distance of a Stable Matrix to the Unstable Matrices
• ARPACK Users' Guide
• Robust stability and a criss-cross algorithm for pseudospectra
• A counterexample for two conjectures about stability
• Low-Rank Dynamics for Computing Extremal Points of Real Pseudospectra
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Criss-Cross Type Algorithms for Computing the Real Pseudospectral Abscissa