Iterative methods for computing generalized inverses related with optimization methods

Journal of the Australian Mathematical Society

Dragan S. Djordjević¹ 

[1] Predrag S. Stanimirović

关键词: primary 46H05;    47A05;    90C30;    15A09;   

DOI  :  10.1017/S1446788700008077

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

We develop several iterative methods for computing generalized inverses using both first and second order optimization methods in C*-algebras. Known steepest descent iterative methods are generalized in C*-algebras. We introduce second order methods based on the minimization of the norms ‖Ax − b‖2 and ‖x‖2 by means of the known second order unconstrained minimization methods. We give several examples which illustrate our theory.

【 授权许可】

Unknown