Article ID: | iaor19932416 |
Country: | United Kingdom |
Volume: | 5 |
Start Page Number: | 27 |
End Page Number: | 29 |
Publication Date: | Nov 1992 |
Journal: | Applied Mathematics Letters |
Authors: | Argyros Ioannis K. |
Keywords: | gradient methods, calculus of variations |
The paper provides sufficient conditions for the convergence of general iterative procedures to a solution of a nonlinear operator equation in Banach space. The approximate inverses of the Fréchet-derivatives involved are obtained recursively. Some special cases are studied in detail.