Abstract
In this paper we present a homotopy understanding of the iterative methods including the Jacobi, Gauss-Seidel, and Successive Overrelaxation methods. The purpose of this paper is to give a new insight to those iterative methods. Based upon this new understanding we present a condition for the convergence of those iterative methods, which turns out to be equivalent to the traditional one.
Citation
Noah H. Rhee. "Homotopy Understanding of Iterative Methods." Missouri J. Math. Sci. 6 (2) 78 - 90, Spring 1994. https://doi.org/10.35834/1994/0602078
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