Splitting based on the outer inverse of matrices.

DOI10.1016/S0096-3003(01)00198-9zbMath1034.65024MaRDI QIDQ1855843

Xin Chen, Yong-Zhong Song, Wei Wang

Publication date: 28 January 2003

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

zbMATH Keywords

convergenceiterative schemesplittinggeneralized inversesingular linear systemsouter inverseminimal norm solution

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Iterative numerical methods for linear systems (65F10)

Related Items (4)

Proper splitting for the generalized inverse \(A^{(2)}_{T, S}\) and its application on Banach spaces ⋮ Computing generalized inverses of matrices by iterative methods based on splittings of matrices ⋮ A note on the perturbation of an outer inverse ⋮ Semiconvergence criteria of iterations and extrapolated iterations and constructive methods of semiconvergent iteration matrices

Cites Work

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• Preconditionings and splittings for rectangular systems
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• Index splitting for the Drazin inverse and the singular linear system
• Iterative methods for computing the generalized inverses \(A^{(2)}_{T,S}\) of a matrix \(A\)
• Semiconvergence of nonnegative splittings for singular matrices
• Proper Splittings of Rectangular Matrices
• Consistency and Splittings
• A cramer rule for solution of the general restricted linear equation^∗
• Cones and Iterative Methods for Best Least Squares Solutions of Linear Systems

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