Exact solutions and convergence of gradient based dynamical systems for computing outer inverses
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Publication:2246062
DOI10.1016/j.amc.2021.126588OpenAlexW3196766797MaRDI QIDQ2246062
Marko D. Petković, Predrag S. Stanimirović, Dijana Mosić
Publication date: 15 November 2021
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2021.126588
integral representationdynamical systemMoore-Penrose inverseouter inversegradient neural network (GNN)
Theory of matrix inversion and generalized inverses (15A09) Direct numerical methods for linear systems and matrix inversion (65F05)
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- Two improvements of the iterative method for computing Moore-Penrose inverse based on Penrose equations
- Full-rank representations of outer inverses based on the QR decomposition
- An improved method for the computation of the Moore-Penrose inverse matrix
- The representation and approximations of outer generalized inverses
- Neural network for computing pseudoinverses and outer inverses of complex-valued matrices
- Global exponential convergence and stability of gradient-based neural network for online matrix inversion
- A family of iterative methods for computing the approximate inverse of a square matrix and inner inverse of a non-square matrix
- Computational algorithms for computing the inverse of a square matrix, quasi-inverse of a non-square matrix and block matrices
- Method of elementary transformation to compute Moore-Penrose inverse
- The \(\{\) 2\(\}\)-inverse with applications in statistics
- 2-inverses and their statistical application
- Fast projection methods for minimal design problems in linear system theory
- Neural network approach to computing matrix inversion
- Limit representations of generalized inverses and related methods
- Recurrent neural networks for solving linear matrix equations
- Conditions for existence, representations, and computation of matrix generalized inverses
- Recurrent neural network for computing the \(W\)-weighted Drazin inverse
- Generalized inverses: theory and computations
- The representation and approximation for the generalized inverse \(A^{(2)}_{T,S}\)
- Generalized inverses. Theory and applications.
- Improved gradient-based neural networks for online solution of Lyapunov matrix equation
- An application of computer algebra and dynamical systems
- Gauss-Jordan elimination method for computing outer inverses
- Generalized Schultz iterative methods for the computation of outer inverses
- A recurrent neural network for real-time matrix inversion
- Full-rank representation of generalized inverse \(A_{T,S}^{(2)}\) and its application
- Successive matrix squaring algorithm for computing outer inverses
- Computing generalized inverses using LU factorization of matrix product
- Recurrent Neural Networks for Computing Pseudoinverses of Rank-Deficient Matrices
- Performance Analysis of Gradient Neural Network Exploited for Online Time-Varying Matrix Inversion
- Recurrent Neural Network for Computing Outer Inverse
- Recurrent neural networks for computing weighted Moore-Penrose inverse
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