Sentence examples for diagonal operator from inspiring English sources

denotes the diagonal operator.  .

Thus, (x^) is a fixed point of the diagonal operator corresponding to V. (Krasnoselskii (1955) [23]).

end{aligned} Let Q be the block diagonal operator with the diagonal entries ((T_{Lambda_{1}}, I, ldots, I)).

Define also in the shift operator and its adjoint (2.2). as well as the diagonal operator (2.3).

This implies that the real part of a non-normal hyponormal operator in M is not a perturbation by M∩L1(M,τ) of a diagonal operator.

The so-derived diagonal operator depends only on the metrics of the geometric transformation and can, thus, be implemented in an efficient and straightforward manner.

2. Historical roots of the diagonal operators.

There are some roots of the diagonal operators as the following examples reveal.

Diagonal operators also appears by the linearization of a quasilinear differential equations.

In this section we will present some useful notions and results concerning diagonal operators, coupled fixed point operators, and iterations of some operators generated by the above concepts.

In the last section we use this result to get an extension theorem for invariant closed convex subsets of the diagonal operators.