Domain decomposition approaches for accelerating contour integration eigenvalue solvers for symmetric eigenvalue problems

V Kalantzis, J Kestyn, E Polizzi… - Numerical Linear Algebra …, 2018 - Wiley Online Library
This paper discusses techniques for computing a few selected eigenvalue–eigenvector
pairs of large and sparse symmetric matrices. A recently developed class of techniques to …

A mixed precision, multi-GPU design for large-scale Top-K sparse eigenproblems

F Sgherzi, A Parravicini… - 2022 IEEE International …, 2022 - ieeexplore.ieee.org
Graph analytics techniques based on spectral methods process extremely large sparse
matrices with millions or even billions of non-zero values. Behind these algorithms lies the …

Spectral Schur complement techniques for symmetric eigenvalue problems

V Kalantzis, R Li, Y Saad - Electronic Transactions on …, 2016 - etna.ricam.oeaw.ac.at
This paper presents a domain decomposition-type method for solving real symmetric
(Hermitian) eigenvalue problems in which we seek all eigenpairs in an interval …