Iterative methods for computing generalized inverses related with optimization methods
Dragan S. Djordjević, Predrag S. Stanimirović · Journal of the Australian Mathematical Society · 2005
Abstract 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.