Sentence examples for proved convergence from inspiring English sources

From the derived and proved convergence criteria, such an optimal D matrix also guarantees the convergence of algorithms.

Kozlowski [8] proved convergence to a fixed point of some iterative algorithms applied to asymptotic pointwise mappings in Banach spaces.

where is a sequence of nonexpansive mappings in a Hilbert space, under certain conditions, they proved convergence of (1.9) essentially in a finite-dimensional Hilbert space.

Also, many authors have proved convergence theorems under the assumption that these operators have bounded range (see, e.g., Browder and Petryshyn [9], Hirano and Huang [10] and the references contained therein).

Twenty years later, Cheng [3] drew renewed attention to the algorithm by pointing out that the mode seeking process of the procedure is basically a hill climbing method, for which he also proved convergence.

We have proved convergence and consensus for the two-agent case and we have analytically shown that the consensus belief is simply the arithmetic mean of agents' initial opinions.

We also prove convergence theorems.

So proving convergence for (phi _n) is equivalent to proving convergence for (psi _n).

Moreover, we prove convergence theorems with estimates of convergence rates.

First we prove convergence of the corresponding Dirichlet forms.

We also prove convergence theorems to a fixed point.