On a class of modified newton processes
- 1 January 1980
- journal article
- research article
- Published by Taylor & Francis in Numerical Functional Analysis and Optimization
- Vol. 2 (1) , 107-120
- https://doi.org/10.1080/01630568008816049
Abstract
The method of nondiscrete mathematical induction is applied to the multistep Newton method. Optimal conditions for convergence as well as estimates, sharp for the whole length of the process, are obtained.Keywords
This publication has 2 references indexed in Scilit:
- Nondiscrete mathematical induction and iterative existence proofsLinear Algebra and its Applications, 1976
- On the Kantorovich Hypothesis for Newton’s MethodSIAM Journal on Numerical Analysis, 1969