GPU acceleration of dense matrix and block operations for Lanczos method for systems over GF (2)

NL Zamarashkin, DA Zheltkov - Lobachevskii Journal of Mathematics, 2019 - Springer
based on Lanczos type methods are developed for solving … efficient implementations of the
parallel block Lanczos-type … RAS parallel implementation of the block Lanczos method for …

Parallel shift-invert spectrum slicing on distributed architectures with GPU accelerators

DB Williams-Young, C Yang - … 49th International Conference on Parallel …, 2020 - dl.acm.org
… or sparse linear equation solvers for GPU architectures to carry … indicate that GPU acceleration
of sparse symmetric solvers would … A shifted block Lanczos algorithm for solving sparse …

GPUBLQMR: GPU-Accelerated Sparse Block Quasi-Minimum Residual Linear Solver

R Lacouture - 2021 - search.proquest.com
… using the block Lanczos algorithm [2] to solve multiple solutions … this method accelerates the
convergence behavior based on … In this thesis work, the parallel implementation of the block

Evaluation of directive-based GPU programming models on a block Eigensolver with consideration of large sparse matrices

F Rabbi, CS Daley, HM Aktulga, NJ Wright - International Workshop on …, 2019 - Springer
… on GPUs with the ultimate goal of accelerating the iterative … to port a LOBPCG solver to
GPUs by other scientists was … on GPU whereas we focus on optimizing the full solver on GPU. …

Parallel interior-point solver for block-structured nonlinear programs on SIMD/GPU architectures

F Pacaud, M Schanen, S Shin… - Optimization Methods …, 2024 - Taylor & Francis
… Our method accelerates both operations using two levels of … Second, each process uses
SIMD/GPU accelerators locally to … Each node is equipped with four GPUs, a setup amenable to …

A Study on Optimization of Sparse and Dense Linear System Solver Over GF (2) on GPUs

P Verma, K Sharma - Innovations in Computer Science and Engineering …, 2021 - Springer
Nvidia introduces series of accelerating cards for researchers to make their application
parallel and solve … system and Block Lanczos for sparse systems leverages parallel hardware …

Block Lanczos-Montgomery method over large prime fields with GPU accelerated dense operations

N Zamarashkin, D Zheltkov - … 2018, Moscow, Russia, September 24–25 …, 2019 - Springer
… The papers [1, 2] describe the block Lanczos method for solving … It was shown that the parallel
efficiency of this method is … of significant acceleration of this kind of calculations using GPU

Parallelism and Iterative bi-Lanczos Solvers

J Bašić, B Blagojević, M Bašić… - 2021 6th International …, 2021 - ieeexplore.ieee.org
… deciding on using a parallel iterative solver, more specifically… [14] provide abstract models
for parallel execution of custom … devices (CPUs, GPUs, and other acceleration devices) in an …

Accelerating an iterative eigensolver for nuclear structure configuration interaction calculations on GPUs using OpenACC

P Maris, C Yang, D Oryspayev, B Cook - Journal of Computational Science, 2022 - Elsevier
… on multiple GPUs and perform distributed-memory parallel … Because each GPU on Cori
GPU has 16 GB high bandwidth … of GPUs (and an appropriate number of nodes) to solve the …

A GPU implementation of the PCG method for large-scale image-based finite element analysis in heterogeneous periodic media

PCF Lopes, AMB Pereira, EWG Clua… - Computer Methods in …, 2022 - Elsevier
… massively parallel PCG solver applied to finite element analyses of heat conduction and linear
elasticity on image-based … of personal-use GPUs for large-scale simulations. The resulting …