Complex-valued Zhang neural network for online complex-valued time-varying matrix inversion

DOI10.1016/j.amc.2011.04.085zbMath1220.65036OpenAlexW1964693520MaRDI QIDQ555429

Kene Li, Zhan Li, Yu-Nong Zhang

Publication date: 22 July 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.04.085

zbMATH Keywords

numerical examplescomplex-valued recurrent neural networkcomplex-valued time-varying matrix inversioncomplex-valued Zhang neural networkmatrix-valued error functionsuperior convergence

Mathematics Subject Classification ID

General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (20)

Neural network approach to computing outer inverses based on the full rank representation ⋮ Stability of complex-valued impulsive system with delay ⋮ ZNN for solving online time-varying linear matrix-vector inequality via equality conversion ⋮ A parallel computing method based on zeroing neural networks for time-varying complex-valued matrix Moore-Penrose inversion ⋮ Comprehensive study on complex-valued ZNN models activated by novel nonlinear functions for dynamic complex linear equations ⋮ A novel finite-time complex-valued zeoring neural network for solving time-varying complex-valued Sylvester equation ⋮ Improved zeroing neural models based on two novel activation functions with exponential behavior ⋮ Exponential stability of non-linear hyperbolic distributed complex-valued parameter systems: The linear fuzzy operator inequality approach ⋮ Recurrent Neural Network Approach Based on the Integral Representation of the Drazin Inverse ⋮ Recurrent Neural Network for Computing Outer Inverse ⋮ Complex Neural Network Models for Time-Varying Drazin Inverse ⋮ Input-to-state stability of Lur'e hyperbolic distributed complex-valued parameter control systems: LOI approach ⋮ Robustness analysis of a hybrid of recursive neural dynamics for online matrix inversion ⋮ Neural network for computing pseudoinverses and outer inverses of complex-valued matrices ⋮ Adaptive exponential synchronization of complex-valued Cohen-Grossberg neural networks with known and unknown parameters ⋮ Recurrent implicit dynamics for online matrix inversion ⋮ From mathematical equivalence such as Ma equivalence to generalized Zhang equivalency including gradient equivalency ⋮ A nonlinear zeroing neural network and its applications on time-varying linear matrix equations solving, electronic circuit currents computing and robotic manipulator trajectory tracking ⋮ Varying-parameter Zhang neural network for approximating some expressions involving outer inverses ⋮ Complex ZNN for computing time-varying weighted pseudo-inverses

Cites Work

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• Zhang neural network for online solution of time-varying convex quadratic program subject to time-varying linear-equality constraints
• Global exponential convergence and stability of gradient-based neural network for online matrix inversion
• Complex recurrent neural network for computing the inverse and pseudo-inverse of the complex matrix
• A dual neural network for convex quadratic programming subject to linear equality and inequality constraints
• A recurrent neural network for real-time matrix inversion
• Exploiting Hessian matrix and trust-region algorithm in hyperparameters estimation of Gaussian process
• Regularized image reconstruction using SVD and a neural network method for matrix inversion
• Survey of numerical methods for solution of large systems of linear equations for electromagnetic field problems
• Performance Analysis of Gradient Neural Network Exploited for Online Time-Varying Matrix Inversion
• From Zhang Neural Network to Newton Iteration for Matrix Inversion

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