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Zbl 1034.65024
Chen, Xin; Wang, Wei; Song, Yongzhong
Splitting based on the outer inverse of matrices. (English)
[J] Appl. Math. Comput. 132, No. 2-3, 353-368 (2002). ISSN 0096-3003

The paper deals with the construction of a special splitting for general rectangular matrices. It is based upon the outer inverse of the coefficient matrix, for which the range and null space are given. This splitting generalizes some previous well known versions. Moreover, the splitting obtained by the authors generates an iterative method convergent under some additional assumptions to the minimal norm solution of the initial system.
[Constantin Popa (Constanta)]

MSC 2000:: *65F22 Ill-posedness, regularization
65F10 Iterative methods for linear systems

Keywords: generalized inverse; splitting; singular linear systems; iterative scheme; convergence; outer inverse; minimal norm solution

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