Improved comparison theorem for the nonlinear multisplitting relaxation method (Q1921204)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Improved comparison theorem for the nonlinear multisplitting relaxation method |
scientific article; zbMATH DE number 915109
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Improved comparison theorem for the nonlinear multisplitting relaxation method |
scientific article; zbMATH DE number 915109 |
Statements
Improved comparison theorem for the nonlinear multisplitting relaxation method (English)
0 references
2 March 1997
0 references
The authors continue here their earlier work [Chin. Ann. Math., Ser. B 15, No. 3, 335-348 (1994; Zbl 0814.65047)] on multisplitting, relaxation methods for solving systems of nonlinear equations \(F(x)=0\). A theorem is proved which provides a comparison, in the natural partial ordering of \(\mathbb{R}^n\), between the iterates produced by two suitably related multisplittings of \(F\).
0 references
nonlinear multisplitting
0 references
monotone convergence
0 references
relaxation methods
0 references
systems of nonlinear equations
0 references
0 references
0 references
