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Title: A Back Propagation-Type Neural Network Architecture for Solving the Complete nxn Nonlinear Algebraic System of Equations
Authors: Goulianas, Konstantinos
Margaris, Athanasios
Refanidis, Ioannis
Diamantaras, Konstantinos I.
Papadimitriou, Theofilos
Type: Article
Subjects: FRASCATI::Natural sciences::Mathematics
FRASCATI::Natural sciences::Computer and information sciences
Keywords: Nonlinear Algebraic Systems
Neural Networks
Back Propagation
Numerical Analysis
Computational Methods
Issue Date: 2016
Publisher: Scientific Research, Open access
Source: Advances in Pure Mathematics
Volume: 06
Issue: 06
First Page: 455
Last Page: 480
Abstract: The objective of this research is the presentation of a neural network capable of solving complete nonlinear algebraic systems of n equations with n unknowns. The proposed neural solver uses the classical back propagation algorithm with the identity function as the output function, and supports the feature of the adaptive learning rate for the neurons of the second hidden layer. The paper presents the fundamental theory associated with this approach as well as a set of experimental results that evaluate the performance and accuracy of the proposed method against other methods found in the literature.
ISSN: 2160-0368
Electronic ISSN: 2160-0384
Other Identifiers: 10.4236/apm.2016.66033
Appears in Collections:Department of Applied Informatics

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