From Zhang neural network to scaled hyperpower iterations

DOI10.1016/j.cam.2017.09.048zbMath1377.65044OpenAlexW2763178799MaRDI QIDQ1678122

Shwetabh Srivastava, Predrag S. Stanimirović, Dharmendra Kumar Gupta

Publication date: 14 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.cam.2017.09.048

zbMATH Keywords

convergenceiterative methodsMoore-Penrose inverseouter inversediscrete Zhang neural networks

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Iterative numerical methods for linear systems (65F10)

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Uses Software

• mctoolbox

Cites Work

• A third order iterative method for \(A^\dagger\)
• Two improvements of the iterative method for computing Moore-Penrose inverse based on Penrose equations
• The representation and approximations of outer generalized inverses
• Iterative method for computing the Moore-Penrose inverse based on Penrose equations
• A family of iterative methods for computing the approximate inverse of a square matrix and inner inverse of a non-square matrix
• On the extension of Householder's method for weighted Moore-Penrose inverse
• The representation and approximation for the generalized inverse \(A^{(2)}_{T,S}\)
• A family of iterative methods for computing Moore-Penrose inverse of a matrix
• A class of numerical algorithms for computing outer inverses
• A note on the stability of a \(p\)th order iteration for finding generalized inverses
• Full-rank representation of generalized inverse \(A_{T,S}^{(2)}\) and its application
• An improved Newton iteration for the weighted Moore-Penrose inverse
• Successive matrix squaring algorithm for computing outer inverses
• Higher-order convergent iterative method for computing the generalized inverse and its application to Toeplitz matrices
• An Improved Newton Iteration for the Generalized Inverse of a Matrix, with Applications
• Several representations of generalized inverse and their application
• From Zhang Neural Network to Newton Iteration for Matrix Inversion
• A geometrical approach on generalized inverses by Neumann-type series