Generalized Chebyshev Acceleration
Numerical Analysis
2025-04-28 v1 Numerical Analysis
Dynamical Systems
Abstract
We use generalized Chebyshev polynomials, associated with the root system , to provide a new semi-iterative method for accelerating simple iterative methods for solving linear systems. We apply this semi-iterative method to the Jacobi method, and give an example. There are certain restrictions but the resulting acceleration is rather high.
Cite
@article{arxiv.2504.18465,
title = {Generalized Chebyshev Acceleration},
author = {Nurgül Gökgöz},
journal= {arXiv preprint arXiv:2504.18465},
year = {2025}
}