Title :
A Neural Network Algorithm for Solving Nonlinear Equations
Author :
Zeng, Zhezhao ; Lin, Dongmei ; Zheng, Lulu
Author_Institution :
Coll. of Electr. & Inf. Eng., Changsha Univ. of Sci. & Technol., Changsha
Abstract :
In this paper, we proposed a neural network algorithm for solving nonlinear equations. The convergence of algorithm proposed was researched. The convergence theorem provides the theory criterion selecting learning rate of neural network. The specific examples showed that the proposed method can solve nonlinear equations at a very rapid convergence and very high accuracy with less computation.
Keywords :
convergence of numerical methods; neural nets; nonlinear equations; convergence of algorithm; convergence theorem; neural network algorithm; nonlinear equations; theory criterion; Algorithm design and analysis; Convergence; Educational institutions; Educational technology; Geoscience and remote sensing; Iterative algorithms; Iterative methods; Neural networks; Newton method; Nonlinear equations; Neural network; algorithm; convergence; nonlinear equations;
Conference_Titel :
Education Technology and Training, 2008. and 2008 International Workshop on Geoscience and Remote Sensing. ETT and GRS 2008. International Workshop on
Conference_Location :
Shanghai
Print_ISBN :
978-0-7695-3563-0
DOI :
10.1109/ETTandGRS.2008.330