An extension of the rational QZ method for the solution of the real generalized eigenvalue problems with aggressive early deflation.

This article studies a convergence theory applicable to all pole-swapping methods. It proposes a backward stable algorithm to compute a pole swap in finite precision.

Presentation for Public PhD Defence at KU Leuven.

PhD thesis on pole swapping algorithms for standard and generalized eigenvalue problems.

Seminar presentation on pole swapping algorithms presented at Lawrence Berkeley National Laboratory.

This article proposes a rational QZ method for the solution of the generalized eigenvalue problem.

Talk on the multishift, multipole rational QZ algorithm presented at ICIAM 2019 Conference in Valencia, Spain.

Talk on approximate rational Krylov methods presented at the ETNA25 conference in Santa Margherita di Pula, Italy.

This article proposes numerical algorithms to reorder 2 x 2 blocks in a real Schur form and a generalized real Schur form.

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

© 2024 Daan Camps

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