The convergence of iterations based on a continuous analogue of Newton's method

zbMath0769.65034MaRDI QIDQ1803474

T. Zhanlav, I. V. Puzynin

Publication date: 29 June 1993

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

algorithmdomain of convergencecontinuous analogue of the Newton method

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (7)

New family of iterative methods based on the Ermakov-Kalitkin scheme for solving nonlinear systems of equations ⋮ Two-sided approximation for some Newton's type methods ⋮ Necessary and sufficient conditions for the convergence of two- and three-point Newton-type iterations ⋮ Modifications of Newton's method to extend the convergence domain ⋮ CANM, a program for numerical solution of a system of nonlinear equations using the continuous analog of Newton's method ⋮ On the semilocal convergence of damped Newton's method ⋮ High-order iterations for systems of nonlinear equations

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