Recent computational developments in Krylov subspace methods for linear systems

V Simoncini, DB Szyld - Numerical Linear Algebra with …, 2007 - Wiley Online Library
Many advances in the development of Krylov subspace methods for the iterative solution of
linear systems during the last decade and a half are reviewed. These new developments …

GMRES algorithms over 35 years

Q Zou - Applied Mathematics and Computation, 2023 - Elsevier
This paper is about GMRES algorithms for the solution of nonsingular linear systems. We
first consider basic algorithms and study their convergence. We then focus on acceleration …

Sparsity: Optimization framework for sparse matrix kernels

EJ Im, K Yelick, R Vuduc - The International Journal of High …, 2004 - journals.sagepub.com
Sparse matrix–vector multiplication is an important computational kernel that performs
poorly on most modern processors due to a low compute-to-memory ratio and irregular …

[KNJIGA][B] Automatic performance tuning of sparse matrix kernels

RW Vuduc - 2003 - search.proquest.com
This dissertation presents an automated system to generate highly efficient, platform-
adapted implementations of sparse matrix kernels. We show that conventional …

AMGCL: An efficient, flexible, and extensible algebraic multigrid implementation

D Demidov - Lobachevskii Journal of Mathematics, 2019 - Springer
The paper presents AMGCL—an opensource C++ library implementing the algebraic
multigrid method (AMG) for solution of large sparse linear systems of equations, usually …

Self-adapting linear algebra algorithms and software

J Demmel, J Dongarra, V Eijkhout… - Proceedings of the …, 2005 - ieeexplore.ieee.org
One of the main obstacles to the efficient solution of scientific problems is the problem of
tuning software, both to the available architecture and to the user problem at hand. We …

Fast sparse matrix-vector multiplication by exploiting variable block structure

RW Vuduc, HJ Moon - … , HPCC 2005, Sorrento, Italy, September 21-23 …, 2005 - Springer
We improve the performance of sparse matrix-vector multiplication (SpMV) on modern cache-
based superscalar machines when the matrix structure consists of multiple, irregularly …

Nature of the anomalous size dependence of resonance red shifts in ultrafine plasmonic nanoparticles

LK Sørensen, DE Khrennikov… - The Journal of …, 2022 - ACS Publications
Plasmonic red shifts of nanoparticles are commonly used in imaging technologies to probe
the character of local environments, and the understanding of their dependence on size …

Development of fast Fourier-compatible image reconstruction for 3D near-field bistatic microwave imaging with dynamic metasurface antennas

AM Molaei, T Fromenteze… - IEEE Transactions …, 2022 - ieeexplore.ieee.org
The emerging technology of dynamic metasurface antennas (DMAs) offers a promising
solution to revolutionize future wireless communications by reducing hardware costs …

Predicting climate‐driven coastlines with a simple and efficient multiscale model

JAA Antolínez, FJ Méndez, D Anderson… - Journal of …, 2019 - Wiley Online Library
Ocean‐basin‐scale climate variability produces shifts in wave climates and water levels
affecting the coastlines of the basin. Here we present a hybrid shoreline change—foredune …