Parallel eigensolvers in plane-wave density functional theory

A Levitt, M Torrent - Computer Physics Communications, 2015 - Elsevier
We consider the problem of parallelizing electronic structure computations in plane-wave
Density Functional Theory. Because of the limited scalability of Fourier transforms …

ChASE: Chebyshev Accelerated Subspace iteration Eigensolver for sequences of Hermitian eigenvalue problems

J Winkelmann, P Springer, ED Napoli - ACM Transactions on …, 2019 - dl.acm.org
Solving dense Hermitian eigenproblems arranged in a sequence with direct solvers fails to
take advantage of those spectral properties that are pertinent to the entire sequence and not …

Triangularized orthogonalization-free method for solving extreme eigenvalue problems

W Gao, Y Li, B Lu - Journal of Scientific Computing, 2022 - Springer
A novel orthogonalization-free method together with two specific algorithms is proposed to
address extreme eigenvalue problems. On top of gradient-based algorithms, the proposed …

Cucheb: A GPU implementation of the filtered Lanczos procedure

JL Aurentz, V Kalantzis, Y Saad - Computer Physics Communications, 2017 - Elsevier
This paper describes the software package Cucheb, a GPU implementation of the filtered
Lanczos procedure for the solution of large sparse symmetric eigenvalue problems. The …

ChASE: a distributed hybrid CPU-GPU eigensolver for large-scale hermitian eigenvalue problems

X Wu, D Davidović, S Achilles, E Di Napoli - Proceedings of the Platform …, 2022 - dl.acm.org
As modern massively parallel clusters are getting larger with beefier compute nodes,
traditional parallel eigensolvers, such as direct solvers, struggle keeping the pace with the …

Domain decomposition algorithms for the solution of sparse symmetric generalized eigenvalue problems

V Kalantzis - 2018 - search.proquest.com
This dissertation focuses on the design, implementation, and evaluation of domain
decomposition techniques for the solution of large and sparse algebraic symmetric …

High-performance generation of the Hamiltonian and Overlap matrices in FLAPW methods

E Di Napoli, E Peise, M Hrywniak… - Computer physics …, 2017 - Elsevier
One of the greatest efforts of computational scientists is to translate the mathematical model
describing a class of physical phenomena into large and complex codes. Many of these …

Recycling Techniques for Sequences of Linear Systems and Eigenproblems

AKG Carr - 2021 - vtechworks.lib.vt.edu
Sequences of matrices arise in many applications in science and engineering. In this thesis
we consider matrices that are closely related (or closely related in groups), and we take …

[引用][C] 10th international conference on Parallel Processing and Applied Mathematics, PPAM 2013

R Wyrzykowski, M Tudruj - Concurrency and Computation …, 2015 - Wiley Online Library
PPAM is a biennial series of international conferences dedicated to exchanging ideas
between researchers involved in parallel and distributed computing, including theory and …

[引用][C] Block iterative methods to compute the lambda modes of a nuclear power reactor