ITERATION PROCEDURES WITH INCOMPLETE CORRECTIONS AND SOLUTION OF NONLINEAR EQUATIONS

Authors
KRASNOSELSKII MA KUZNETSOV NA RACHINSKII DI MARZ R
Citation
Ma. Krasnoselskii et al., ITERATION PROCEDURES WITH INCOMPLETE CORRECTIONS AND SOLUTION OF NONLINEAR EQUATIONS, Automation and remote control, 58(8), 1997, pp. 1285-1293
Citations number
12
Journal title
Automation and remote control → ACNP
ISSN journal
00051179
Volume
58
Issue
8
Year of publication
1997
Part
1
Pages
1285 - 1293
Database
ISI
SICI code
0005-1179(1997)58:8<1285:IPWICA>2.0.ZU;2-#
Abstract
Different iteration algorithms of the classical Gauss-Seidel method of numerically solving nonlinear vector equations are elaborated within the framework of the theory of dynamic systems with incomplete correct ions. Some of these algorithms were studied earlier for special classe s of equations. The results of this paper are theorems concerning the asymptotic stability of the equilibrium states of new classes of nonli near dynamic systems.