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arXiv · 2504.18465

Generalized Chebyshev Acceleration

Nurgül Gökgöz
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Abstract

We use generalized Chebyshev polynomials, associated with the root system $A_2$, 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.

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Nurgül Gökgöz. 2025-04-25. Generalized Chebyshev Acceleration. https://arxiv.org/abs/2504.18465

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