Geodesic
On iterative methods of higher order for systems of linear algebraic equations
Applications of Mathematics, Tome 39 (1994) no. 4, pp. 287-298
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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.
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.
DOI : 10.21136/AM.1994.134258
Classification : 65F10
Keywords: linear system; iterative method; convergence acceleration of convergence 
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Šisler, Miroslav. On iterative methods of higher order for systems of linear algebraic equations. Applications of Mathematics, Tome 39 (1994) no. 4, pp. 287-298. doi: 10.21136/AM.1994.134258

[1] D. M. Young: Iterative Solution of large Systems. Academia Press, New York and London, 1971. | MR

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