arXiv subjects

Nurgül Gökgöz

Publications and source records attributed to Nurgül Gökgöz.

2 recordsLinked to original sources

arXiv2025

Generalized Chebyshev acceleration on the unit disc

Generalized Chebyshev acceleration is a semi-iterative technique applicable to a basic iterative method only when the eigenvalues of the iteration matrix satisfy a highly restrictive inclusion condition. In this work, we relax this requirement by introducing an alternative iterative scheme that converges to the same solution. The effectiveness of the proposed approach is examined through its application to a large-scale sparse normal matrix.

math.NA↗

arXiv2025

Generalized Chebyshev Acceleration

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.

math.NA↗