Sentence examples for convergence of one from inspiring English sources

In this paper, we consider the semilocal convergence of one popular iterative method for solving the nonlinear equations arising from the discretization of two-phase flow in porous media.

In this section we will see some applications and we perform several numerical experiments to illustrate the computational performance of the proposed algorithms (Algorithm 3.1 and Algorithm 3.2) and we compare the convergence of one with the other.

Since the classical Gram-Schmidt orthogonalization computes each column of the matrix Q from the previous column recursively, i.e., to know vector q 2, we need to compute the norm of u 2 which depends on vector q 1, the existing distributed algorithms always need to wait for convergence of one column before proceeding with the next column.

for each φ ∈ D ( ] 0, T 0 [ ), where D denotes the space of test functions. Now we consider the convergence of one integrand. For example, we will prove the convergence ∫ 0 T 0 ∫ 0 1 ( r n ) 3 ρ n ∂ 2 r n ∂ x 2 v n sin ( π i x ) φ ( t ) d x d t → ∫ 0 T 0 r 3 ρ ∂ 2 r ∂ x 2 v sin ( π i x ) φ ( t ) d x d t (160). when n → ∞.

Its ability to allow convergence of one's parameter estimates, as more data is analysed, sets it apart from other sequential methods (such as the particle filter).

(6) f (x max ) ≡ f (x max ' ) The convergence of one group can be proved as follows: 1) When xmax = xpeak, the group is convergent obviously, f xmax) = f xpeak).

The pioneering work of Xu and Ori [6] deals with weak convergence of one-step implicit algorithm for a finite family of nonexpansive maps.

Later, in [8], Ene and Poliševski gave a rigorous proof of the convergence for one of the cases studied in [6] using the two-scale convergence method introduced in [9] and developed in [10].

Further, the good MS-stability and strong convergence order of one are obtained for the scheme.

Figure 1 shows the convergence behavior of one of the largest test problems, i.e., n = 4000.

In this section, we will justify the proposed method by proving its strong convergence order of one in mean-square sense.