The Infinite Arnoldi Method and an Application to Time-Delay Systems with Distributed Delays

DOI10.1007/978-3-642-25221-1_17zbMath1298.65194OpenAlexW1919931580MaRDI QIDQ2926532

Elias Jarlebring, Karl Meerbergen, Wim Michiels

Publication date: 24 October 2014

Published in: Time Delay Systems: Methods, Applications and New Trends (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-25221-1_17

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20)

Related Items (2)

Periodic band structure calculation by the Sakurai-Sugiura method with a fast direct solver for the boundary element method with the fast multipole representation ⋮ The nonlinear eigenvalue problem

Cites Work

• Numerical stability analysis of steady state solutions of integral equations with distributed delays
• A block Newton method for nonlinear eigenvalue problems
• Time-delay systems: an overview of some recent advances and open problems.
• An Arnoldi method for nonlinear eigenvalue problems
• Solution operator approximations for characteristic roots of delay differential equations
• Pseudospectral approximation of eigenvalues of derivative operators with nonlocal boundary conditions
• NLEVP
• Krylov-Based Model Order Reduction of Time-delay Systems
• On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation
• The Quadratic Arnoldi Method for the Solution of the Quadratic Eigenvalue Problem
• Residual Inverse Iteration for the Nonlinear Eigenvalue Problem
• Nonlinear eigenvalue problems: a challenge for modern eigenvalue methods
• Mapping Based Algorithm for Large-Scale Computation of Quasi-Polynomial Zeros
• A Krylov Method for the Delay Eigenvalue Problem
• SOAR: A Second-order Arnoldi Method for the Solution of the Quadratic Eigenvalue Problem
• Efficient quadrature of highly oscillatory integrals using derivatives
• Moment-free numerical integration of highly oscillatory functions
• Pseudospectral Differencing Methods for Characteristic Roots of Delay Differential Equations
• Algorithms for the Nonlinear Eigenvalue Problem

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