ShyLU: A hybrid-hybrid solver for multicore platforms

S Rajamanickam, EG Boman… - 2012 IEEE 26th …, 2012 - ieeexplore.ieee.org
With the ubiquity of multicore processors, it is crucial that solvers adapt to the hierarchical
structure of modern architectures. We present ShyLU, a “hybrid-hybrid” solver for general …

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 …

Multiscale modal analysis of fully-loaded spent nuclear fuel canisters

O Ezvan, X Zeng, R Ghanem, B Gencturk - Computer Methods in Applied …, 2020 - Elsevier
In this paper, an efficient numerical procedure is proposed, which is adapted to the modal
analysis of a fully-loaded spent nuclear fuel canister exhibiting distinct structural levels …

Hybrid Multi-GPU solver based on Schur complement method

S Kopysov, I Kuzmin, N Nedozhogin, A Novikov… - … Conference, PaCT 2013 …, 2013 - Springer
This paper presents a new hybrid solver based on Schur complement method, in which
computations are distributed between multiple CPUs and GPUs. In this solver, the Schur …

A memory-efficient parallelizable method for computation of Thévenin equivalents used in real-time stability assessment

CHL Jørgensen, JG Møller, S Sommer… - … on Power Systems, 2019 - ieeexplore.ieee.org
This paper introduces a factor-solve method that efficiently computes Thévenin equivalents
for all buses in the power system. A range of real-time stability assessment methods relies …

Parallel algebraic domain decomposition solver for the solution of augmented systems

E Agullo, L Giraud, A Guermouche, A Haidar… - … in Engineering Software, 2013 - Elsevier
We consider the parallel iterative solution of indefinite linear systems given as augmented
systems. Our numerical technique is based on an algebraic non-overlapping domain …

On the use of low-rank arithmetic to reduce the complexity of parallel sparse linear solvers based on direct factorization techniques

G Pichon - 2018 - inria.hal.science
Solving sparse linear systems is a problem that arises in many scientific applications, and
sparse direct solvers are a time consuming and key kernel for those applications and for …

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 …

[HTML][HTML] Параллельные алгоритмы формирования и решения системы дополнения Шура на графических ускорителях

СП Копысов, ИМ Кузьмин, НС Недожогин… - Ученые записки …, 2012 - cyberleninka.ru
В работе рассмотрен параллельный алгоритм вычисления дополнения Шура.
Эффективное применение нескольких графических ускорителей для метода …

Enhancing Block Cimmino for Sparse Linear Systems with Dense Columns via Schur Complement

FS Torun, M Manguoglu, C Aykanat - SIAM Journal on Scientific Computing, 2023 - SIAM
The block Cimmino is a parallel hybrid row-block projection iterative method successfully
used for solving general sparse linear systems. However, the convergence of the method …