Determining the number of real roots of polynomials through neural networks

DOI10.1016/j.camwa.2005.07.012zbMath1100.65044OpenAlexW2043499156MaRDI QIDQ2507014

Nicos G. Pavlidis, Dimitris K. Tasoulis, Michael N. Vrahatis, Mourrain, Bernard

Publication date: 10 October 2006

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2005.07.012

zbMATH Keywords

numerical examplesnumber of zerosmultivariate polynomial equations

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Real polynomials: location of zeros (26C10)

Related Items (2)

Machine learning the real discriminant locus ⋮ Rotorcraft parameter estimation using radial basis function neural network

Uses Software

• SYNAPS
• na10

Cites Work

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• Numerical computation of polynomial zeros by means of Aberth's method
• On the complexity of isolating real roots and computing with certainty the topological degree
• Multilayer feedforward networks are universal approximators
• Globally convergent modification of the quickprop method
• From linear to nonlinear iterative methods
• Adaptive stepsize algorithms for on-line training of neural networks.
• A class of gradient unconstrained minimization algorithms with adaptive stepsize
• On the acceleration of the backpropagation training method
• A Neural Root Finder of Polynomials Based on Root Moments
• Approximation by superpositions of a sigmoidal function

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