Add to ORKGSolving (nonlinear) eigenvalue problems by contour integration, requires an effective discretization for the corresponding contour integrals. In this paper it is shown that good rational filter functions can be computed using (nonlinear least squares) optimization techniques as opposed to designing those functions based on a thorough understanding of complex analysis. The conditions that such an effective filter function should satisfy, are derived and translated in a nonlinear least squares optimization problem solved by optimization algorithms from Tensorlab. Numerical experiments illustrate the validity of this approach.nrpages: 21status: publishe
In recent years, contour-based eigensolvers have emerged as a standard approach for the solution of ...
In recent years, contour-based eigensolvers have emerged as a standard approach for the solution of ...
In recent years, contour-based eigensolvers have emerged as a standard approach for the solution of ...
Solving (nonlinear) eigenvalue problems by contour integration, requires an effective discretization...
Rational filter functions can be used to improve convergence of contour-based eigensolvers, a popula...
Rational filter functions can be used to improve convergence of contour-based eigensolvers, a popula...
Rational filter functions can be used to improve the convergence of the so-called contour-based eige...
Rational filter functions can be used to improve convergence of contour-based eigensolvers, a popula...
In recent years, contour-based eigensolvers have emerged as a standard approach for the solution of ...
The literature on numerical methods for computing eigenvalues in a given region of the complex plain...
The Cauchy integral reformulation of the nonlinear eigenvalue problem A(λ)x = 0 has led to subspace ...
Beyn's algorithm for solving nonlinear eigenvalue problems is given a new interpretation and a varia...
In this paper Beyn's algorithm for solving nonlinear eigenvalue problems is given a new interpretati...
Contour integration methods and rational Krylov methods are two important classes of numerical metho...
In recent years, contour-based eigensolvers have emerged as a standard approach for the solution of ...
In recent years, contour-based eigensolvers have emerged as a standard approach for the solution of ...
In recent years, contour-based eigensolvers have emerged as a standard approach for the solution of ...
In recent years, contour-based eigensolvers have emerged as a standard approach for the solution of ...
Solving (nonlinear) eigenvalue problems by contour integration, requires an effective discretization...
Rational filter functions can be used to improve convergence of contour-based eigensolvers, a popula...
Rational filter functions can be used to improve convergence of contour-based eigensolvers, a popula...
Rational filter functions can be used to improve the convergence of the so-called contour-based eige...
Rational filter functions can be used to improve convergence of contour-based eigensolvers, a popula...
In recent years, contour-based eigensolvers have emerged as a standard approach for the solution of ...
The literature on numerical methods for computing eigenvalues in a given region of the complex plain...
The Cauchy integral reformulation of the nonlinear eigenvalue problem A(λ)x = 0 has led to subspace ...
Beyn's algorithm for solving nonlinear eigenvalue problems is given a new interpretation and a varia...
In this paper Beyn's algorithm for solving nonlinear eigenvalue problems is given a new interpretati...
Contour integration methods and rational Krylov methods are two important classes of numerical metho...
In recent years, contour-based eigensolvers have emerged as a standard approach for the solution of ...
In recent years, contour-based eigensolvers have emerged as a standard approach for the solution of ...
In recent years, contour-based eigensolvers have emerged as a standard approach for the solution of ...
In recent years, contour-based eigensolvers have emerged as a standard approach for the solution of ...