Two improvements of the iterative method for computing Moore-Penrose inverse based on Penrose equations

DOI10.1016/j.cam.2014.01.034zbMath1293.65048OpenAlexW2069707152MaRDI QIDQ396034

Predrag S. Stanimirović, Marko D. Petković

Publication date: 8 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.cam.2014.01.034

zbMATH Keywords

convergenceiterative methodsMoore-Penrose inversePenrose equations

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Iterative numerical methods for linear systems (65F10)

Related Items (14)

A two-step iterative method and its acceleration for outer inverses ⋮ From Zhang neural network to scaled hyperpower iterations ⋮ Accurate computation of the Moore-Penrose inverse of strictly totally positive matrices ⋮ One-sided weighted outer inverses of tensors ⋮ Hyper-power methods for the computation of outer inverses ⋮ Some matrix iterations for computing generalized inverses and balancing chemical equations ⋮ Computation of Moore-Penrose generalized inverses of matrices with meromorphic function entries ⋮ Composite outer inverses for rectangular matrices ⋮ Exact solutions and convergence of gradient based dynamical systems for computing outer inverses ⋮ ZNN models for computing matrix inverse based on hyperpower iterative methods ⋮ Characterizations, approximation and perturbations of the core-EP inverse ⋮ Rapid generalized Schultz iterative methods for the computation of outer inverses ⋮ Computing the Moore-Penrose inverse using its error bounds ⋮ A class of quadratically convergent iterative methods

Uses Software

• mctoolbox

Cites Work

• An improved method for the computation of the Moore-Penrose inverse matrix
• The representation and approximations of outer generalized inverses
• Iterative method for computing the Moore-Penrose inverse based on Penrose equations
• Generalised matrix inversion and rank computation by successive matrix powering
• The representation and approximation for the generalized inverse \(A^{(2)}_{T,S}\)
• Full-rank representation of generalized inverse \(A_{T,S}^{(2)}\) and its application
• Successive matrix squaring algorithm for computing outer inverses

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