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Keywords:
linear system; iterative method; convergence acceleration of convergence
linear system; iterative method; convergence acceleration of convergence
Summary:
The paper is concerned with certain $k$-degree iterative methods for the solution of linear algebraic systems. The successive approximation $x_{\nu +1}$ is determined by means of approximations $x_\nu $, $x_{\nu -1}$, $\dots $, $x_{\nu -k+1}$. In this article to each iterative method of the first degree some $k$-degree iterative method is found in order to accelerate the convergence of the intial method.
References:
[1] D. M. Young: Iterative Solution of large Systems. Academia Press, New York and London, 1971. MR 0305568
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