Fast randomized non-Hermitian eigensolvers based on rational filtering and matrix partitioning

V Kalantzis, Y Xi, L Horesh - SIAM Journal on Scientific Computing, 2021 - SIAM
This paper describes a set of rational filtering algorithms to compute a few eigenvalues (and
associated eigenvectors) of non-Hermitian matrix pencils. Our interest lies in computing …

Rational spectral filters with optimal convergence rate

K Kollnig, P Bientinesi, EA Di Napoli - SIAM Journal on Scientific Computing, 2021 - SIAM
In recent years, contour-based eigensolvers have emerged as a standard approach for the
solution of large and sparse eigenvalue problems. Building upon recent performance …

Weighted Eigenvalue Counts on Intervals for Spectrum Optimization

A Tkachuk, M Tkachuk - … Conference on Advanced Mechanical and Power …, 2021 - Springer
Power equipment is prone to vibrations. Removing eigenfrequencies of a structure from the
interval of working frequencies reduces the probability of resonance during operation. In this …

[PDF][PDF] Efficient rational filter-based interior eigensolvers

S Huber - scholar.archive.org
This thesis is concerned with improving and expanding projection based methods for
Hermitian interior eigenvalue problems. The focus is on methods of this type utilizing a …

Computational challenges in materials science

J Winkelmann, B Lang, P Bientinesi, U Naumann - 2020 - publications.rwth-aachen.de
Diese Dissertation beschäftigt sich mit der in Verbesserung von Material-wissenschaftlichen
Simulationen durch spezialisierte Subroutinen, sogenannte Kernel. Für jeden unserer …

A FEAST variant incorporated with a power iteration

MC Yeung, L Lee - arXiv preprint arXiv:1912.01642, 2019 - arxiv.org
We present a variant of the FEAST matrix eigensolver for solving restricted real and
symmetric eigenvalue problems. The method is derived from a combination of a variant of …