Sentence examples for an iteration method from inspiring English sources

In an attempt to construct a convergent sequence of iterates with respect to a nonexpansive mapping, Mann [1] defined an iteration method as follows: (for any x 1 ∈ K ) x n + 1 = ( 1 − α n ) x n + α n T x n, n ∈ N, where α n ∈ ( 0, 1 ).

In an attempt to construct a convergent sequence of iterates with respect to a nonexpansive mapping, Mann [3] defined an iteration method by (for any x 1 ∈ K ) x n + 1 = ( 1 − α n ) x n + α n f x n, n ∈ N, (1.2).

So we can solve (18) by an iteration method.

Nachtsheim-Swigert developed an iteration method, which overcomes these difficulties.

This paper discusses an iteration method for accurate random loading.

To find a proper architecture for network, an iteration method was used.

We present a scheme that combines the idea of an extragradient method and a successive iteration method as a hybrid variant.

The accuracy of the proposed method has been compared with a variational iteration method, a one-leg θ-method, a particular Runge-Kutta method, and a reproducing kernel Hilbert space method.

The null controllability is obtained by a time iteration method and an observability estimate on partial sums of eigenfunctions for elliptic operators.

To enhance the solution quality and efficiency, a stochastic perturbation procedure is introduced to generate reliable initial guesses for the deterministic optimization procedures and also, an interactive iteration method is developed to guide the search toward a potential global optimum.

Now we introduce a new iteration method for a family of single-valued nonexpansive mappings and a multivalued nonexpansive mapping.