The Gradient Method for Overdetermined Infinite Linear Systems

It is well known the notion of overdetermined nite linear system and its solution in the sense of the least squares method (see for example [1], [7] or [8]). In [5] we presented the gradient method for overdetermined nite linear systems and in [6] we made the comparative ef ciencies of the least square method and the gradient method for nite overdetermined linear systems. In [3] we considered the notion of overdetermines in nite linear system and its solution in the sense of the least squares method. In [4] we showed the complex variant of this result. The purpose of this paper is to extend the classical gradient method to overdetermined in nite linear systems.