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Generalized Chebyshev Acceleration (2504.18465v1)
Published 25 Apr 2025 in math.NA, cs.NA, and math.DS
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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