Načevska, Biljana Iterative methods for computing generalized inverses and splittings of operators. (English) Zbl 1160.65312 Appl. Math. Comput. 208, No. 1, 186-188 (2009). Author’s abstract: We consider an iterative method for computing generalized inverses of linear operators, based on splittings of operators. Thus, the result from Y. L. Chen and X. Y. Tan [Appl. Math. Comput. 163, No. 1, 309–325 (2005; Zbl 1069.65041)] is extended to infinite dimensional settings. Reviewer: Costică Moroşanu (Iaşi) Cited in 6 Documents MSC: 65F20 Numerical solutions to overdetermined systems, pseudoinverses 65F10 Iterative numerical methods for linear systems Keywords:generalized inverse \(A_{T,S}^{(2)}\); splitting of operators; iterative methods; overdetermined systems Citations:Zbl 1069.65041 PDFBibTeX XMLCite \textit{B. Načevska}, Appl. Math. Comput. 208, No. 1, 186--188 (2009; Zbl 1160.65312) Full Text: DOI References: [1] Ben-Israel, A.; Grevile, T. N.E., Generalized Inverses: Theory and Applications (2003), Springer [2] Berman, A.; Neumann, M., Proper splittings of rectangular matrices, SIAM J. Appl. Math., 31, 307312 (1976) [3] Djordjević, D. S.; Stanimirović, P. S., New type of matrix splitting and its applications, Acta Math. Hungarica, 92, 1-2, 121-135 (2001) · Zbl 0994.15005 [4] Djordjević, D. S.; Stanimirović, P. S., Splitting of operators and generalized inverses, Publ. Math. Debrecen, 59, 147-159 (2001) · Zbl 0994.15005 [5] Djordjević, D. S.; Wei, Y., Outer generalized inverses in rings, Comm. Algebra, 33, 3051-3060 (2005) · Zbl 1111.15007 [6] Chen, Yong-Lin; Tan, Xue-Yuan, Computing generalized inverses of matrices by iterative methods based on splitting of matrices, Appl. Math. Comp., 163, 309-325 (2005) · Zbl 1069.65041 [7] Wei, Y.; Djordjević, D. S.; Stanimirović, P. S., The representation and approximation of outer generalized inverses, Acta Math. Hungarica, 104, 1-2, 1-26 (2004) · Zbl 1071.65075 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.