Infinitely many Zhang functions resulting in various ZNN models for time-varying matrix inversion with link to Drazin inverse

DOI10.1016/j.ipl.2015.03.007zbMath1342.65250OpenAlexW2070775210MaRDI QIDQ2346566

Long Jin, Zhi Yang, Binbin Qiu, Dong-Sheng Guo, Yu-Nong Zhang

Publication date: 2 June 2015

Published in: Information Processing Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ipl.2015.03.007

zbMATH Keywords

real-time systemsparallel algorithmserror functionstime-varying Drazin inverse (TVDI)Zhang matrix inverse (ZMI)Zhang neural net (ZNN)

Mathematics Subject Classification ID

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Cites Work

• Different Zhang functions leading to different Zhang-dynamics models illustrated via time-varying reciprocal solving
• Time-varying square roots finding via Zhang dynamics versus gradient dynamics and the former's link and new explanation to Newton-Raphson iteration
• Improved gradient-based neural networks for online solution of Lyapunov matrix equation
• Improved neural solution for the Lyapunov matrix equation based on gradient search
• Gradient methods for computing the Drazin-inverse solution
• A new iterative method for computing the Drazin inverse
• The Index and the Drazin Inverse of Block Triangular Matrices

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