The iterative methods for A(T)((2)),(S) of the bounded linear operator between Banach spaces

被引:0
|
作者
Srivastava, Shwetabh [1 ]
Gupta, D. K. [1 ]
机构
[1] Indian Inst Technol, Dept Math, Kharagpur 721302, W Bengal, India
关键词
Outer inverse A(T; S)((2)); Moore-Penrose inverse A(+); Bott-Duffin inverse A((L))((-1)); Banach space; Convergence analysis;
D O I
10.1007/s12190-014-0844-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The aim of this paper is to describe iterative methods for approximating an outer generalized inverse A(T,S)((2)) 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.
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页码:383 / 396
页数:14
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