## Abstract and Applied Analysis

### Higher-Order Convergent Iterative Method for Computing the Generalized Inverse over Banach Spaces

#### Abstract

A higher-order convergent iterative method is provided for calculating the generalized inverse over Banach spaces. We also use this iterative method for computing the generalized Drazin inverse ${a}^{d}$ in Banach algebra. Moreover, we estimate the error bounds of the iterative methods for approximating ${A}_{T,S}^{\left(2\right)}$ or ${a}^{d}$.

#### Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 356105, 5 pages.

Dates
First available in Project Euclid: 27 February 2014

https://projecteuclid.org/euclid.aaa/1393512108

Digital Object Identifier
doi:10.1155/2013/356105

Mathematical Reviews number (MathSciNet)
MR3124037

Zentralblatt MATH identifier
1291.65104

#### Citation

Liu, Xiaoji; Huang, Fu. Higher-Order Convergent Iterative Method for Computing the Generalized Inverse over Banach Spaces. Abstr. Appl. Anal. 2013 (2013), Article ID 356105, 5 pages. doi:10.1155/2013/356105. https://projecteuclid.org/euclid.aaa/1393512108

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