Complex recurrent neural network for computing the inverse and pseudo-inverse of the complex matrix

DOI10.1016/S0096-3003(97)10064-9zbMath0943.65040OpenAlexW2088026800MaRDI QIDQ1294417

Yeung Yam, Jingyan Song

Publication date: 29 June 1999

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(97)10064-9

zbMATH Keywords

matrix inversionfull rankcomplex matrix inversecomplex recurrent neural networkrank deficient matrices

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Learning and adaptive systems in artificial intelligence (68T05) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (12)

Neural network approach to computing outer inverses based on the full rank representation ⋮ A concise functional neural network computing the largest modulus eigenvalues and their corresponding eigenvectors of a real skew matrix ⋮ 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 ⋮ Neural network for computing pseudoinverses and outer inverses of complex-valued matrices ⋮ A recurrent neural network computing the largest imaginary or real part of eigenvalues of real matrices ⋮ Neural network solution for an inverse problem associated with the Dirichlet eigenvalues of the anisotropic Laplace operator ⋮ Two finite-time convergent Zhang neural network models for time-varying complex matrix Drazin inverse ⋮ Recurrent neural networks for computing weighted Moore-Penrose inverse ⋮ Complex-valued Zhang neural network for online complex-valued time-varying matrix inversion ⋮ A functional neural network computing some eigenvalues and eigenvectors of a special real matrix

Cites Work

• Neural network approach to computing matrix inversion
• A recurrent neural network for real-time matrix inversion
• Recurrent Neural Networks for Computing Pseudoinverses of Rank-Deficient Matrices

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