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.
DOI :
10.21136/AM.1994.134258
Classification :
65F10
Mots-clés : linear system; iterative method; convergence acceleration of convergence
Mots-clés : linear system; iterative method; convergence acceleration of convergence
@article{10_21136_AM_1994_134258, author = {\v{S}isler, Miroslav}, title = {On iterative methods of higher order for systems of linear algebraic equations}, journal = {Applications of Mathematics}, pages = {287--298}, publisher = {mathdoc}, volume = {39}, number = {4}, year = {1994}, doi = {10.21136/AM.1994.134258}, mrnumber = {1284102}, zbl = {0818.65019}, language = {en}, url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1994.134258/} }
TY - JOUR AU - Šisler, Miroslav TI - On iterative methods of higher order for systems of linear algebraic equations JO - Applications of Mathematics PY - 1994 SP - 287 EP - 298 VL - 39 IS - 4 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1994.134258/ DO - 10.21136/AM.1994.134258 LA - en ID - 10_21136_AM_1994_134258 ER -
%0 Journal Article %A Šisler, Miroslav %T On iterative methods of higher order for systems of linear algebraic equations %J Applications of Mathematics %D 1994 %P 287-298 %V 39 %N 4 %I mathdoc %U https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1994.134258/ %R 10.21136/AM.1994.134258 %G en %F 10_21136_AM_1994_134258
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. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1994.134258/
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