A Novel Compute-Efficient Tridiagonal Solver for Many-Core Architectures

K Liu, W Xue - IEEE Transactions on Parallel and Distributed …, 2022 - ieeexplore.ieee.org
The tridiagonal solver is an important kernel and is widely supported in mainstream
numerical libraries. While parallel algorithms have been studied for many-core architectures …

MPI-CUDA parallel linear solvers for block-tridiagonal matrices in the context of SLEPc's eigensolvers

AL Davina, JE Roman - Parallel computing, 2018 - Elsevier
We consider the computation of a few eigenpairs of a generalized eigenvalue problem A x=
λ B x with block-tridiagonal matrices, not necessarily symmetric, in the context of Krylov …

Метод двухуровневого распараллеливания прогонки для решения трехдиагональных линейных систем на гибридных ЭВМ с многоядерными …

АА Федоров - вычислительные методы и программирование, 2016 - num-meth.ru
Аннотация Приводится описание метода двухуровневого распараллеливания прогонки
(на общей памяти средствами OpenMP и на распределенной памяти средствами MPI) …

A method of two-level parallelization of the Thomas algorithm for solving tridiagonal linear systems on hybrid computers with multicore coprocessors

AA Fedorov, AN Bykov - Numerical methods and programming, 2016 - mathnet.ru
A method of two-level parallelization of the Thomas algorithm for solving tridiagonal linear
systems (the thread-level parallelism using OpenMP and the process-level parallelism using …

The method of two-level parallelization for solving tridiagonal systems on hybrid computers with multicore coprocessors

AA Fedorov, AN Bykov - PCT 2016 Parallel Computing Technologies, 2016 - elibrary.ru
This paper describes a method of two-level parallelization for solving tridiagonal systems
(thread-level parallelism using OpenMP and process-level parallelism using MPI) arising in …

Dense and sparse parallel linear algebra algorithms on graphics processing units

A Lamas Daviña - 2018 - riunet.upv.es
One line of development followed in the field of supercomputing is the use of specific
purpose processors to speed up certain types of computations. In this thesis we study the …

[PDF][PDF] Exploring Vectorization Possibilities on the Intel Xeon Phi for Solving Tridiagonal Systems

IE Venetis, A Nakos, A Kouris, E Gallopoulos - academia.edu
Calculating the solution of a tridiagonal system is a problem that has attracted the attention
of many researchers, since it commonly appears as a computational kernel in the context of …