Note on the iterative methods for computing the generalized inverse over Banach spaces |
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| Authors: | Xiaoji Liu Guangping Zhou Yaoming Yu |
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| Institution: | 1. College of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning 530006, People's Republic of China;2. School of Mathematical Sciences, Building 28, Monash University, Vic. 3800, Australia |
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| Abstract: | In this paper, we construct iterative methods for computing the generalized inverse A over Banach spaces, and also for computing the generalized Drazin inverses ad of Banach algebra element a. Moreover, we estimate the error bounds of the iterative methods for approximating A or ad. Copyright © 2011 John Wiley & Sons, Ltd. |
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| Keywords: | iterative method generalized inverse A iterative convergence generalized Drazin inverse ad Banach space error bound |
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