Iterative methods for computing generalized inverses related with optimization methods
نویسندگان
چکیده
منابع مشابه
Iterative Methods for Computing Generalized Inverses Related with Optimization Methods
We develop a few 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 examp...
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In this paper we construct a few iterative processes for computing {1, 2} inverses of a linear bounded operator, based on the hyper-power iterative method or the Neumann-type expansion. Under the suitable conditions these methods converge to the {1, 2, 3} or {1, 2, 4} inverses. Also, we specify conditions when the iterative processes converge to the Moore-Penrose inverse, the weighted Moore-Pen...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 2005
ISSN: 1446-7887,1446-8107
DOI: 10.1017/s1446788700008077