Solution of a linear system using a neural network based on iterative techniques

Heriberto Jose Delgado; Laurene V. Fausett

doi:10.1117/12.205193

6 April 1995 Solution of a linear system using a neural network based on iterative techniques

Heriberto Jose Delgado, Laurene V. Fausett

Proceedings Volume 2492, Applications and Science of Artificial Neural Networks; (1995) https://doi.org/10.1117/12.205193
Event: SPIE's 1995 Symposium on OE/Aerospace Sensing and Dual Use Photonics, 1995, Orlando, FL, United States

Abstract

A neural network is presented for solving a general linear system using an approach that is similar to successive over relaxation (SOR). The network is trained to find the appropriate relaxation parameter. A derivation of the algorithm and its relation to the SOR algorithm is given. The performance of the standard SOR and Jacobi methods are compared with the neural network for two sample problems.

Citation Download Citation

Heriberto Jose Delgado and Laurene V. Fausett "Solution of a linear system using a neural network based on iterative techniques", Proc. SPIE 2492, Applications and Science of Artificial Neural Networks, (6 April 1995); https://doi.org/10.1117/12.205193

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