NDLI: A higher order iterative method for $A^{(2)}

Content Provider	Springer Nature Link
Author	Srivastava, Shwetabh Gupta, D. K.
Copyright Year	2013
Abstract	The aim of this paper is to propose a higher order iterative method for computing the outer inverse $A^{(2)}_{T,S}$ for a given matrix A. Convergence analysis along with the error bounds of the proposed method is established. A number of numerical examples including singular square, rectangular, randomly generated rank deficient matrices and a set of singular matrices obtained from the Matrix Computation Toolbox (mctoolbox) are worked out. The performance measures used are the number of iterations, the mean CPU time (MCT) and the error bounds. The results obtained are compared with some of the existing methods. It is observed that our method gives improved results in terms of both computational speed and accuracy.
Starting Page	147
Ending Page	168
Page Count	22
File Format	PDF
ISSN	15985865
Journal	Journal of Applied Mathematics and Computing
Volume Number	46
Issue Number	1-2
e-ISSN	18652085
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2013-11-30
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Generalized inverse $A^{(2)}_{T,S}$ Moore-Penrose inverse A $^{†}$ Weighted Moore-Penrose inverse $A^{†ger}_{M,N}$ Representation Convergence analysis Matrix inversion, generalized inverses Iterative methods for linear systems Computational Mathematics and Numerical Analysis ApplicationMathematics/Computational Methods of Engineering Theory of Computation Mathematics of Computing
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Computational Mathematics

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