Published December 31, 2021 | Version 0.3
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DINLE (v0.3): A MATLAB Package for Large-Scale Nonlinear Eigenvalue Problems (based on a Derivative Interpolating Subspace Framework)

  • 1. Koc University, Department of Mathematics
  • 2. TU Berlin, Institute of Mathematics

Description

This is a Matlab implementation of the subspace frameworks for large-scale nonlinear eigenvalue problems based on Hermite interpolation. At every subspace iteration, a projected eigenvalue problem of small-size is solved. Then the projection subspaces are expanded so as to attain Hermite interpolation between the full matrix-valued function and its projected counterpart at the eigenvalues of the projected problem before the subspace expansion.

Implementations specifically for polynomial and rational eigenvalue problems are available. But a general implementation for a nonlinear eigenvalue problem that is not necessarily polynomial nor rational is also available.

Files

dinle_v0.3.zip

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Additional details

Related works

Is cited by
Preprint: arXiv:2006.14189 (arXiv)