Parallel projection methods and the resolution of ill-posed problems
| Autor: | M. A. Diniz-Ehrhardt, José Mario Martínez, Sandra A. Santos |
|---|---|
| Rok vydání: | 1994 |
| Předmět: |
Parallel projection
Linear system Mathematical analysis MathematicsofComputing_NUMERICALANALYSIS Fredholm integral equation Integral equation Overdetermined system Computational Mathematics symbols.namesake Nonlinear system Computational Theory and Mathematics Modelling and Simulation Modeling and Simulation Projection method symbols Applied mathematics Convex combination Mathematics |
| Zdroj: | Computers & Mathematics with Applications. 27:11-24 |
| ISSN: | 0898-1221 |
| DOI: | 10.1016/0898-1221(94)90002-7 |
| Popis: | In this paper, we consider a modification of the parallel projection method for solving overdetermined nonlinear systems of equations introduced recently by Diniz-Ehrhardt and Martinez [1]. This method is based on the classical Cimmino's algorithm for solving linear systems. The components of the function are divided into small blocks, as an attempt to correct the intrinsic ill-conditioning of the system, and the new iteration is a convex combination of the projections onto the linear manifolds defined by different blocks. The modification suggested here was motivated by the application of the method to the resolution of a nonlinear Fredholm first kind integral equation. We prove convergence results and we report numerical experiments. |
| Databáze: | OpenAIRE |
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