2005-11-16Buch DOI: 10.18452/2709
Iteration methods with incomplete corrections and solution of nonlinear equations
Krasnosel'skii, M. A.
Kuznetsov, N. A.
Rachinskii, D. J.
Basing on the theory of dynamic systems with inclomplete corrections [1-2], various methods of Gauss-Seidel-type for the numerical solution of nonlinear equations are formulated and analyzed. For special classes of equations some of these methods have already been discussed (e.g. [3-5]).\\ The results of the present paper provide statements on the asymptotic stability of equilibria for new classes of nonlinear systems.
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