Computing the Kreiss Constant of a Matrix
From MaRDI portal
Publication:5854656
DOI10.1137/19M1275127zbMath1464.65044arXiv1907.06537OpenAlexW3111653800MaRDI QIDQ5854656
Publication date: 17 March 2021
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.06537
pseudospectratransient growthdiscontinuity of Kreiss constantsdistance to uncontrollability algorithmsinverses of Kronecker sums
Matrix exponential and similar functions of matrices (15A16) Numerical computation of matrix exponential and similar matrix functions (65F60)
Related Items
DoD stabilization for non-linear hyperbolic conservation laws on cut cell meshes in one dimension ⋮ Convergence Rate Analysis and Improved Iterations for Numerical Radius Computation ⋮ Fast computation of \(\mathrm{sep}_\lambda\) via interpolation-based globality certificates ⋮ Fast Interpolation-Based Globality Certificates for Computing Kreiss Constants and the Distance to Uncontrollability
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Between controllable and uncontrollable
- The solution of the matrix equations \(AXB-CXD=E\) and \((YA-DZ,YC- BZ)=(E,F)\)
- On a conjecture by LeVeque and Trefethen related to the Kreiss matrix theorem
- A note on the numerical solution of complex Hamiltonian and skew-Hamiltonian eigenvalue problems
- A numerically stable, structure preserving method for computing the eigenvalues of real Hamiltonian or symplectic pencils
- Hankel-norm approximation of large-scale descriptor systems
- On the resolvent condition in the Kreiss matrix theorem
- On eigenvalues of matrices dependent on a parameter
- Subspace Methods for Computing the Pseudospectral Abscissa and the Stability Radius
- Fast Algorithms for the Approximation of the Pseudospectral Abscissa and Pseudospectral Radius of a Matrix
- Fast Methods for Estimating the Distance to Uncontrollability
- Über Die Stabilitätsdefinition Für Differenzengleichungen Die Partielle Differentialgleichungen Approximieren
- Generalized Schur methods with condition estimators for solving the generalized Sylvester equation
- Robust stability and a criss-cross algorithm for pseudospectra
- Templates for the Solution of Algebraic Eigenvalue Problems
- Pseudospectra of Matrix Pencils for Transient Analysis of Differential-Algebraic Equations
- Pseudospectral Components and the Distance to Uncontrollability
- Second Derivatives for Optimizing Eigenvalues of Symmetric Matrices
- New Methods for Estimating the Distance to Uncontrollability
- Extended and Improved Criss-Cross Algorithms for Computing the Spectral Value Set Abscissa and Radius
