Estimates of approximate solutions in the method of parameter continuation (Q2719485)
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: Estimates of approximate solutions in the method of parameter continuation |
scientific article; zbMATH DE number 1609723
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Estimates of approximate solutions in the method of parameter continuation |
scientific article; zbMATH DE number 1609723 |
Statements
25 June 2001
0 references
operator equations
0 references
estimates of approximate solutions
0 references
Lipschitz-continuous and coercive operator
0 references
efficient error estimates
0 references
Estimates of approximate solutions in the method of parameter continuation (English)
0 references
The author studies the estimates of approximate solutions of nonlinear equations in the Banach space with Lipschitz-continuous and coercive operator. The approximate solutions are obtained by the parameter continuation method. Established are the efficient error estimates in construction of approximate solution. This paper develops some ideas by \textit{S. N. Bernstein} [Math. Ann. 59, 20-76 (1904)] and \textit{V. A. Trenogin} [``Functional analysis'', Nauka, Moscow (1993; Zbl 0804.46001)].
0 references
