Optimal iterative schemes for computing the Moore-Penrose matrix inverse

DOI10.1080/00207727608941969zbMath0336.93039OpenAlexW2037755870MaRDI QIDQ4103423

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Publication date: 1976

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207727608941969

Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Theory of matrix inversion and generalized inverses (15A09) Estimation and detection in stochastic control theory (93E10) Signal detection and filtering (aspects of stochastic processes) (60G35) Software, source code, etc. for problems pertaining to systems and control theory (93-04)

Related Items (16)

Exploiting higher computational efficiency index for computing outer generalized inverses ⋮ Solving linear programming problems exactly ⋮ A matrix iteration for finding Drazin inverse with ninth-order convergence ⋮ An improved computationally efficient method for finding the Drazin inverse ⋮ A direct heuristic algorithm for linear programming ⋮ An efficient computation of generalized inverse of a matrix ⋮ Representations and expansions of weighted pseudoinverse matrices, iterative methods, and problem regularization. I. positive definite weights ⋮ An efficient matrix iteration for computing weighted Moore-Penrose inverse ⋮ Factorizations of hyperpower family of iterative methods via least squares approach ⋮ Chemical equation balancing: an integer programming approach ⋮ Solving linear program as linear system in polynomial time ⋮ \(O(n^ 3)\) noniterative heuristic algorithm for linear programs with error-free implementation. ⋮ Further efficient hyperpower iterative methods for the computation of generalized inverses \(A_{T,S}^{(2)}\) ⋮ A note on the stability of a \(p\)th order iteration for finding generalized inverses ⋮ Hyperpower least squares progressive iterative approximation ⋮ Concise row-pruning algorithm to invert a matrix

Cites Work

• Regression and the Moore-Penrose pseudoinverse
• Iterative solution of a class of linear equations with application to reconstruction of three-dimensional object arrays†
• Economical Iterative and Range-Transformation Schemes for Division

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