Sentence examples for by the iteration process from inspiring English sources

Suppose that ({x_{n}}) is defined by the iteration process (1.8).

Suppose that { x n } is defined by the iteration process (8).

Suppose that { x n } is defined by the iteration process (8) and R n is taken as in Lemma  3.1.

Nevertheless, the imperfections of the noise model are compensated by the iteration process which adapts the accuracy constraint.

Algorithm 1 For a given x 0 ∈ K, compute the sequence { x n } n ≥ 0 by the iteration process of arbitrary fixed order p ≥ 2, (4.1).

MATLAB program is employed to calculate the coefficient of performance and the additional data as required by the iteration process in some of stages of the BEM calculation.

By using the iteration process (1.9) and Panyanak's fixed point result (Theorem 1.9), they proved Δ-convergence and strong convergence theorems for total asymptotically nonexpansive mappings on (operatorname{CAT}(0)) spaces.

An accurate and explicit form of the Jacobian matrix is used in the iteration process by selecting discrete integral points in the Poincaré map.

By applying Theorem 9 under the assumption that T1 is continuous ϕ- hemicontractive, we obtain Theorem 16 which proves strong convergence of the iteration process defined by (4.1).

To avoid the restriction of T, that is, T ( p ) = { p } for p ∈ Fix ( T ), we use the iteration process defined by (B).

The iteration process employed by heuristic Algorithms 2 and 3 terminates after a finite number of steps with a feasible schedule.