Continuous modified Newton’s-type method for nonlinear operator equations |
| |
| Authors: | Alexander G Ramm Alexandra B Smirnova Angelo Favini |
| |
| Institution: | (1) Mathematics Department, Kansas State University, Manhattan, KS 66506-2602, USA, e-mail: ramm@math.ksu.edu, US;(2) Department of Math and Stat, Georgia State University, Atlanta, GA 30303, USA, e-mail: smirn@cs.gsu.edu, US;(3) Dipartimento di Matematica, Universita di Bologna, 540127 Bologna, Italy, e-mail: favini@dm.unibo.it, IT |
| |
| Abstract: | A nonlinear operator equation F(x)=0, F:H→H, in a Hilbert space is considered. Continuous Newton’s-type procedures based on a construction of a dynamical system with
the trajectory starting at some initial point x
0 and becoming asymptotically close to a solution of F(x)=0 as t→+∞ are discussed. Well-posed and ill-posed problems are investigated.
Received: June 29, 2001; in final form: February 26, 2002?Published online: February 20, 2003
This paper was finished when AGR was visiting Institute for Theoretical Physics, University of Giessen. The author thanks
DAAD for support |
| |
| Keywords: | Mathematics Subject Classification (2000) 65J15 58C15 47H17 nonlinear problem – integral inequality – Fréchet derivative – Newton method |
| 本文献已被 SpringerLink 等数据库收录！ |
|
