A constructive simplified Newton method is presented for calculating solutions of infinite dimensional nonlinear equations, which uses a projection scheme from an infinite dimensional space to finite dimensional subspaces. A convergence theorem of the method is shown based on Urabe's theorem. For a class of successive approximation methods containing an infinite dimensional homotopy method, a stopping criterion is shown using the convergence theorem. The authors show that under a certain condition the stopping criterion is satisfied in finite cycles of iteration.
|Number of pages||4|
|Journal||Proceedings - IEEE International Symposium on Circuits and Systems|
|Publication status||Published - 1991 Dec 1|
|Event||1991 IEEE International Symposium on Circuits and Systems Part 4 (of 5) - Singapore, Singapore|
Duration: 1991 Jun 11 → 1991 Jun 14
ASJC Scopus subject areas
- Electrical and Electronic Engineering