Augmentation-Based Preconditioners for Saddle-Point Systems with Singular Leading Blocks
Numerical Analysis
2022-06-29 v1 Numerical Analysis
Abstract
We consider the iterative solution of symmetric saddle-point matrices with a singular leading block. We develop a new ideal positive definite block diagonal preconditioner that yields a preconditioned operator with four distinct eigenvalues. We offer a few techniques for making the preconditioner practical, and illustrate the effectiveness of our approach with numerical experiments.
Keywords
Cite
@article{arxiv.2206.13624,
title = {Augmentation-Based Preconditioners for Saddle-Point Systems with Singular Leading Blocks},
author = {Susanne Bradley and Chen Greif},
journal= {arXiv preprint arXiv:2206.13624},
year = {2022}
}