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Then we have a special case of projection method known as the dual least squares method.
This paper considers the accuracy of projection method approximations to the initial boundary-value problem for the initial boundary-valueStokes equations.
(4.1) If (V_{j} subset R(A^)) and subspaces (Y_{j}) are chosen in such a way that A^Y_{j}=V_{j}, then there is a special case of projection method known as the dual least squares method.
The purpose of this paper is to analyze the feasibility study of Moudafi viscosity type of projection method with a weak contraction for a finite family of quasinonexpansive mappings in a complete (operatorname{CAT}(0)) space, also known as a Hadamard space.
Open image in new window Fig. 2 Schematic of how a volume enclosed between S and X can represent a precipitated phase on X Open image in new window Fig. 3 Schematic of projection method, showing (left) selection of suitable focal point X and (right) labelled projection construct.
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A new geometrical interpretation of the above can be described in the language of projection methods.
It is an advantage of projection methods that the strong convergence of iterative sequences is guaranteed without any compact assumption.
Theoretically, the advantage of projection methods is that strong convergence of iterative sequences can be guaranteed without any compact assumptions.
The advantage of projection methods is that strong convergence of iterative sequences can be guaranteed without any compact assumptions.
Apart from theoretical interest, the main advantage of projection methods, which makes them successful in real-word applications, is computational.
The field of projection methods is vast; see, e.g., Bauschke and Borwein [27], Combettes [28], Combettes and Pesquet [29].
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