A class of quadratically convergent iterative methods

DOI10.1007/s13398-019-00681-wzbMath1435.65060OpenAlexW2943128829WikidataQ127915354 ScholiaQ127915354MaRDI QIDQ2331694

Shwetabh Srivastava, Vasilios N. Katsikis, Dimitrios Pappas, Predrag S. Stanimirović

Publication date: 30 October 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-019-00681-w

zbMATH Keywords

convergenceiterative methodsMoore-Penrose inverseouter inversePenrose equations

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Iterative numerical methods for linear systems (65F10)

Related Items (4)

Exploiting higher computational efficiency index for computing outer generalized inverses ⋮ Exact expressions for the Drazin inverse of anti-triangular matrices ⋮ On the Drazin inverse of anti-triangular block matrices ⋮ Generalization of the Moore-Penrose inverse

Uses Software

• mctoolbox

Cites Work

• A third order iterative method for \(A^\dagger\)
• Two improvements of the iterative method for computing Moore-Penrose inverse based on Penrose equations
• The representation and approximations of outer generalized inverses
• Iterative method for computing the Moore-Penrose inverse based on Penrose equations
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• Computing outer inverses by scaled matrix iterations
• On the extension of Householder's method for weighted Moore-Penrose inverse
• Generalized inverses: theory and computations
• The representation and approximation for the generalized inverse \(A^{(2)}_{T,S}\)
• A family of iterative methods for computing Moore-Penrose inverse of a matrix
• A class of numerical algorithms for computing outer inverses
• A note on the stability of a \(p\)th order iteration for finding generalized inverses
• Generalized Schultz iterative methods for the computation of outer inverses
• Full-rank representation of generalized inverse \(A_{T,S}^{(2)}\) and its application
• Successive matrix squaring algorithm for computing outer inverses
• Higher-order convergent iterative method for computing the generalized inverse and its application to Toeplitz matrices
• An Improved Newton Iteration for the Generalized Inverse of a Matrix, with Applications
• Several representations of generalized inverse and their application
• A geometrical approach on generalized inverses by Neumann-type series

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