An efficient class of iterative methods for computing generalized outer inverse \({M_{T,S}^{(2)}}\)

DOI10.1007/s12190-020-01375-yOpenAlexW3034751344MaRDI QIDQ2053113

Munish Kansal, Manpreet Kaur

Publication date: 29 November 2021

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

Full work available at URL: https://doi.org/10.1007/s12190-020-01375-y

zbMATH Keywords

convergence analysisrank-deficient matricescomputational efficiencySchulz methodgeneralized outer inverse

Mathematics Subject Classification ID

Numerical linear algebra (65Fxx) Applications of generalized inverses (15A10)

Related Items (1)

An efficient matrix iteration family for finding the generalized outer inverse

Cites Work

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• Neural network approach to computing outer inverses based on the full rank representation
• An iterative method for computing the approximate inverse of a square matrix and the Moore-Penrose inverse of a non-square matrix
• Chaos and convergence of a family generalizing Homeier's method with damping parameters
• On hyperpower family of iterations for computing outer inverses possessing high efficiencies
• The iterative methods for \(A^{(2)}_{T,S}\) of the bounded linear operator between Banach spaces
• Neural network for computing pseudoinverses and outer inverses of complex-valued matrices
• Chebyshev-type methods and preconditioning techniques
• A higher order iterative method for \(A^{(2)}_{T,S}\)
• A new scheme of computing the approximate inverse preconditioner for the reduced linear systems
• Generalised matrix inversion and rank computation by successive matrix powering
• On integral representation of the generalized inverse \(A_{T,S}^{(2)}\).
• Successive matrix squaring algorithm for computing the Drazin inverse
• Balanced truncation-rational Krylov methods for model reduction in large scale dynamical systems
• An efficient computation of generalized inverse of a matrix
• Newton-like iteration based on a cubic polynomial for structured matrices
• A characterization and representation of the generalized inverse \(A_{T,S}^{(2)}\) and its applications
• Generalized inverses. Theory and applications.
• Factorizations of hyperpower family of iterative methods via least squares approach
• Two finite-time convergent Zhang neural network models for time-varying complex matrix Drazin inverse
• An efficient method for computing the outer inverse \(A_{T,S}^{(2)}\) through Gauss-Jordan elimination
• Generalized Schultz iterative methods for the computation of outer inverses
• A geometric construction of iterative functions of order three to solve nonlinear equations
• Image deblurring process based on separable restoration methods
• Successive matrix squaring algorithm for computing outer inverses
• (T,S) splitting methods for computing the generalized inverse and rectangular systems^∗
• An Improved Newton Iteration for the Generalized Inverse of a Matrix, with Applications
• Numerical and Symbolic Computations of Generalized Inverses
• An efficient quadratically convergent iterative method to find the Moore–Penrose inverse
• Recurrent Neural Network for Computing Outer Inverse
• Adjoint Mappings and Inverses of Matrices
• On the Numerical Properties of an Iterative Method for Computing the Moore–Penrose Generalized Inverse
• Some New Methods in Matrix Calculation
• Successive matrix squaring algorithm for parallel computing the weighted generalized inverse \(A^+_{MN}\)
• A geometrical approach on generalized inverses by Neumann-type series
• On the perturbation and subproper splittings for the generalized inverse \(A_{T,S}^{(2)}\) of rectangular matrix \(A\)

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