Newton’s Method for Convex Operators in Partially Ordered Spaces
- 1 September 1967
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Numerical Analysis
- Vol. 4 (3) , 406-432
- https://doi.org/10.1137/0704037
Abstract
Summary:First, a result of J. W. Schmidt about the monotone enclosure of solutions of nonlinear equations is generalized. Then an iteration method is considered, which is more effective than other known methods. For this method, monotone enclosure statements are also provedKeywords
This publication has 8 references indexed in Scilit:
- Monotone Iterations for Nonlinear Equations with Application to Gauss-Seidel MethodsSIAM Journal on Numerical Analysis, 1967
- Mildly nonlinear elliptic partial differential equations and their numerical solutoin. IINumerische Mathematik, 1965
- InequalitiesPublished by Springer Nature ,1965
- Relative uniform convergenceMathematische Annalen, 1964
- Funktionalanalysis und Numerische MathematikPublished by Springer Nature ,1964
- Linear Topological SpacesPublished by Springer Nature ,1963
- Halbgeordnete lokalkonvexe VektorräumeMathematische Annalen, 1958
- The method of successive approximation for functional equationsActa Mathematica, 1939