Zhang Neural Networks for fast and accurate computations of the field of values

DOI10.1080/03081087.2019.1648375zbMath1450.65036arXiv1904.10568OpenAlexW2967869022WikidataQ114641257 ScholiaQ114641257MaRDI QIDQ5125852

Frank Uhlig

Publication date: 2 October 2020

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.10568

zbMATH Keywords

numerical rangefield of valueseigenvalue computationZhang neural network (ZNN)numerical matrix algorithmparameter-varying matrix problem

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (1)

Coalescing Eigenvalues and Crossing Eigencurves of 1-Parameter Matrix Flows

Cites Work

• Unnamed Item
• Geometry of the numerical range of matrices
• Neural networks for computing eigenvalues and eigenvectors
• Neural networks based approach for computing eigenvectors and eigenvalues of symmetric matrix
• Time-varying matrix eigenanalyses via Zhang neural networks and look-ahead finite difference equations
• A 5-instant finite difference formula to find discrete time-varying generalized matrix inverses, matrix inverses, and scalar reciprocals
• Zhang Functions and Various Models
• Computer generated numerical ranges and some resulting theorems
• Computation of multiple eigenvalues and generalized eigenvectors for matrices dependent on parameters
• Numerical Determination of the Field of Values of a General Complex Matrix
• On Smooth Decompositions of Matrices
• Path-Following Method to Determine the Field of Values of a Matrix with High Accuracy
• The construction of high order convergent look-ahead finite difference formulas for Zhang Neural Networks
• On the numerical range of a matrix
• Faster and more accurate computation of the field of values boundary fornbynmatrices
• Recurrent neural networks for nonlinear output regulation

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