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.
|ジャーナル||Proceedings - IEEE International Symposium on Circuits and Systems|
|出版ステータス||Published - 1991 12 1|
|イベント||1991 IEEE International Symposium on Circuits and Systems Part 4 (of 5) - Singapore, Singapore|
継続期間: 1991 6 11 → 1991 6 14
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