Year: 2025
Type: preprint
Abstract: Schwarz methods and preconditioners, where the approximate solution of the local problems is performed at a lower precision, i.e., with fewer digits of accuracy than in the underlying (double precision) computation. Conditions for the appropriate round-off criteria for the lower precision are presented. It is found experimentally that for the model problems about 5 digits of accuracy are sufficient to achieve the theoretical restrictions, and thus, single precision suffices for the local solves. Several numerical experiments illustrate the obtained results.
Source: arXiv (Cornell University)
Authors: Outrata, Michal, Szyld, Daniel B.
Institutions: Charles University, Temple University
Language: English
Topic: Matrix Theory and Algorithms
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
Funder: Univerzita Karlova v Praze
Awards: G1321919621, G6203253224, G7821415602
OpenAlex ID: W4415330674
Cites:
Cited by:
Related to: