Sentence examples for iteration converges from inspiring English sources

We also give convergence and stability analysis of the new Picard-Mann iterative approximation and propose numerical examples to show that the new Picard-Mann iteration converges more effectively than the Picard iterative process, Mann iterative process, Picard-Mann iterative process due to Khan and other related iterative processes.

In 2004, Berinde used the notion of rate of convergence for iterations method and showed that the Picard iteration converges faster than the Mann iteration for a class of quasi-contractive operators [14].

The classical Kuhfittig iteration converges strongly under the compactness condition of K, whereas the weak convergence is established through Opial's condition.

Theoretical analysis indicates that as the iterative step increases, the performance of the proposed beamformer gets better and the iteration converges.

Doubly Mann's iteration converges.

Doubly Picards iteration converges.

(I) Doubly Picards iteration converges.  .

(II) Doubly Mann's iteration converges.  .

The iteration converges if and only if the spectral radius of B is less than 1.

If the norm of B for some subordinate norm is less than 1, the iteration converges.

Then the following are equivalent: (i) the Picard iteration converges to q,   (ii) the Mann iteration converges to q.  . the Picard iteration converges to q, the Mann iteration converges to q. Proof Let { α n } ⊆ ( 0, 1 ) be given.