Concepedia

A Unified Convergence Theory for a Class of Iterative Processes

Werner C. Rheinboldt

SIAM Journal on Numerical Analysis · 1968 · 195 citations · 6 references

DOI

Concepts

Abstract

Unified theory for convergence results based on nonlinear estimates for iteration function and on majorizing sequences concept

References

6

Variational Methods for the Study of Nonlinear Operators

E. H. Rothe, M. M. Vaĭnberg, L. M. Kantorovich et al. · American Mathematical Monthly · 1966 · 842 citations

, , +12

The Newton-Kantorovich Theorem

J. M. Ortega · American Mathematical Monthly · 1968 · 177 citations

Monotone Iterations for Nonlinear Equations with Application to Gauss-Seidel Methods

James M. Ortega, Werner C. Rheinboldt · SIAM Journal on Numerical Analysis · 1967 · 133 citations

, , +15

Newton’s method in Banach spaces

Robert G. Bartle · Proceedings of the American Mathematical Society · 1955 · 53 citations · Full text

, , +10

A modified newton-raphson method for the solution of systems of equations

Adi Ben-Israel · Israel Journal of Mathematics · 1965 · 41 citations

, , +10