Sentence examples for directed operator from inspiring English sources

A simple calculation shows that every directed operator is −1-demicontractive.

Assume that A : H → K is a bounded linear operator and T : K → K is a directed operator.

Lemma 3 Assume that A : H → K is a bounded linear operator and T : K → K is a directed operator.

In the pipeline optimization task, if the directed operator conflict graph has a chromatic number χ(G), then the pipeline can be constructed on χ(G) stages.

A typical example of a directed operator is an orthogonal projection P C from H onto a nonempty closed convex subset C ⊂ H defined by P C x : = arg min y ∈ C ∥ x − y ∥ 2, x ∈ H. (2.2).

solving problem (1.2) for directed operators.

Particular cases such as quasi-nonexpansive and directed operators are also considered.

The concept of directed operators was introduced by Bauschke and Combettes [20].

Let us now consider the SCFP (1.2) whenever U and T are directed operators.

where U and T are directed operators and λ > 0 is known as the step-size.

It can be seen easily that the class of directed operators coincides with that of firmly quasi-nonexpansive operators.