Pole swapping

An implicit filter for rational Krylov using core transformations

This article proposes numerical algorithms to filter and restart the rational Krylov sequence method.

A rational QZ method

Talk on the rational QZ algorithm presented at NASCA 2018 Conference in Kalamata, Greece.

RQZ: A rational QZ method for the generalized eigenvalue problem

Talk on the rational QZ algorithm presented SIAM-ALA 2018 Conference in Hong Kong.

Rational matrix algorithms for the generalized eigenvalue problem - Iterative and direct methods

Talk on rational matrix algorithms presented as part of the NUMA seminar series at KU Leuven.

Rational QZ

The rational QZ method is a backward stable algorithm to solve the dense, unsymmetric generalized eigenvalue problem with a pole swapping approach.