The iterative methods for \(A^{(2)}_{T,S}\) of the bounded linear operator between Banach spaces
The aim of this paper is to describe iterative methods for approximating an outer generalized inverse \(A^{(2)}_{T,S}\) of the bounded linear operator \(A\) between Banach spaces. The convergence analysis and the error bounds are established. Two numerical examples are worked out and the results obtained are compared with other existing methods. It is found that the method is superior in terms of speed and computational efficiency.
banach space convergence analysis outer inverse \(a^{(2)}_{{t s}}\) moorepenrose inverse \(a^{\dag }\) bottduffin inverse \(a_{(l)}^{(-1)}\) 15a09 65f10