On a Continuous Third-Order Method for Monotone Operator Equations in Hilbert Space
| Autor: | I. P. Ryazantseva |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
0209 industrial biotechnology
Partial differential equation General Mathematics Operator (physics) 010102 general mathematics Hilbert space Monotonic function 02 engineering and technology Strongly monotone 01 natural sciences symbols.namesake 020901 industrial engineering & automation Ordinary differential equation Convergence (routing) Third order method symbols Applied mathematics 0101 mathematics Analysis Mathematics |
| Zdroj: | Differential Equations. 54:268-276 |
| ISSN: | 1608-3083 0012-2661 |
| DOI: | 10.1134/s001226611802012x |
| Popis: | A continuous third-order method has been constructed for a nonlinear operator equation in a Hilbert space with a strongly monotone operator satisfying the Lipshitz condition. Conditions sufficient for the strong convergence of the method have been derived. |
| Databáze: | OpenAIRE |
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