On iterative methods of higher order for systems of linear algebraic equations

Šisler, Miroslav. "On iterative methods of higher order for systems of linear algebraic equations." Applications of Mathematics 39.4 (1994): 287-298. <http://eudml.org/doc/32884>.

@article{Šisler1994,
abstract = {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.},
author = {Šisler, Miroslav},
journal = {Applications of Mathematics},
keywords = {linear system; iterative method; convergence acceleration of convergence; acceleration of convergence; iterative methods; systems of linear algebraic equations},
language = {eng},
number = {4},
pages = {287-298},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On iterative methods of higher order for systems of linear algebraic equations},
url = {http://eudml.org/doc/32884},
volume = {39},
year = {1994},
}

TY - JOUR
AU - Šisler, Miroslav
TI - On iterative methods of higher order for systems of linear algebraic equations
JO - Applications of Mathematics
PY - 1994
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 39
IS - 4
SP - 287
EP - 298
AB - 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.
LA - eng
KW - linear system; iterative method; convergence acceleration of convergence; acceleration of convergence; iterative methods; systems of linear algebraic equations
UR - http://eudml.org/doc/32884
ER -