Complex ZNN for computing time-varying weighted pseudo-inverses (Q5028799)

scientific article; zbMATH DE number 7472201

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English	Complex ZNN for computing time-varying weighted pseudo-inverses	scientific article; zbMATH DE number 7472201

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instance of

scholarly article

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title

Complex ZNN for computing time-varying weighted pseudo-inverses (English)

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author

Predrag S. Stanimirović

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Hai Feng Ma

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Xue-Zhong Wang

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published in

Applicable Analysis and Discrete Mathematics

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publication date

10 February 2022

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zbMATH Keywords

time-varying complex matrix

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Zhang neural network

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indefinite inner product

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weighted Minkowski inverse

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convergence

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MaRDI profile type

MaRDI publication profile

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cites work

Generalized inverses. Theory and applications.

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A Stable and Efficient Algorithm for the Indefinite Linear Least-Squares Problem

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Computation of the Drazin inverse of a singular matrix making use of neural networks

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On g-inverses and the nonsingularity of a bordered matrix \(\begin{pmatrix} A&B\\ C&0\end{pmatrix}\)

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2-inverses and their statistical application

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The \(\{\) 2\(\}\)-inverse with applications in statistics

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Nonnegative generalized inverses in indefinite inner product spaces

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Moore-Penrose inverse in an indefinite inner product space

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The representation and approximation for the weighted Minkowski inverse in Minkowski space

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On mixed and componentwise condition numbers for indefinite least squares problem

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Integral and limit representations of the outer inverse in Banach space

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An analog of the adjugate matrix for the outer inverse \(A^{(2)}_{T, S}\)

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Neural network approach to computing matrix inversion

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Range symmetric matrices in Minkowski space

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The reflexive and anti-reflexive solutions of the matrix equation \(AX=B\).

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Representations and computations of \(\{2, 3^\sim \}\) and \(\{2, 4^\sim \}\)-inverses in indefinite inner product spaces

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Indefinite product of matrices and applications to indefinite inner product spaces

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Moore-Penrose inverses of Gram matrices leaving a cone invariant in an indefinite inner product space

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Singular value decomposition in Minkowski space

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Full-rank representation of generalized inverse \(A_{T,S}^{(2)}\) and its application

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The generalized weighted Moore-Penrose inverse

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Recurrent Neural Network Approach Based on the Integral Representation of the Drazin Inverse

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Neural network approach to computing outer inverses based on the full rank representation

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Computation of Generalized Inverse Matrices which Satisfy Specified Conditions

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Recurrent neural networks for solving linear matrix equations

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A recurrent neural network for real-time matrix inversion

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Generalized inverses: theory and computations

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Recurrent Neural Networks for Computing Pseudoinverses of Rank-Deficient Matrices

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Complex Neural Network Models for Time-Varying Drazin Inverse

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Numerical and Symbolic Computations of Generalized Inverses

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Recurrent neural networks for computing weighted Moore-Penrose inverse

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Special issue in memory of Olga Taussky Todd

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A note on the representation and approximation of the outer inverse \(A_{T,S}^{(2)}\) of a matrix \(A\)

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Zhang neural network solving for time-varying full-rank matrix Moore-Penrose inverse

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

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From Zhang Neural Network to Newton Iteration for Matrix Inversion

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

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Generalized inverse \(A^{(2)}_{T,S}\) and a rank equation

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Extension and generalization properties of the weighted Minkowski inverse in a Minkowski space for an arbitrary matrix

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Report on test matrices for generalized inverses

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Recurrent Neural Network for Computing Outer Inverse

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full work available at URL

https://doi.org/10.2298/aadm170628019s

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Identifiers

zbMATH Open document ID

1499.15014

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DOI

10.2298/AADM170628019S

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5028799