Finding all real roots of \(3\times 3\) nonlinear algebraic systems using neural networks
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Publication:2350152
DOI10.1016/j.amc.2012.10.049zbMath1432.65030OpenAlexW2023960421MaRDI QIDQ2350152
Konstantinos Goulianas, Miltiades Adamopoulos, Athanasios I. Margaris
Publication date: 18 June 2015
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2012.10.049
Learning and adaptive systems in artificial intelligence (68T05) Direct numerical methods for linear systems and matrix inversion (65F05)
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Positive solutions of a nonlinear algebraic system with sign-changing coefficient matrix ⋮ Positive solutions for a nonlinear algebraic system with nonnegative coefficient matrix ⋮ Solving polynomial systems using a fast adaptive back propagation-type neural network algorithm ⋮ An adaptive learning rate backpropagation‐type neural network for solving n × n systems on nonlinear algebraic equations ⋮ Existence of positive solutions for a class of nonlinear algebraic systems
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