Sentence examples for approximation sequence from inspiring English sources
'approximation sequence' is a correct and usable phrase in written English
It is used when referring to a set of values that converge towards an exact solution as the number of iterations increase. For example, you might say: "The approximation sequence for the value of pi was becoming increasingly accurate as the number of iterations increased."
We prove first of all that the unperturbed linear system is approximately controllable, and then we apply this linear theory to construct approximation sequence for approximate control and to prove the afore-constructed approximation sequence converges to a desired approximate control.
The main novelty in our proof is that a candidate approximation sequence for every approximate control is carefully constructed and is proved to converge exactly to a desired approximate control; the afore-developed linear theory takes crucial role throughout the procedure.
Accordingly, it also becomes a fundamental way to construct the successive approximation sequence by means of the integral equation.
In this paper, we consider the following viscosity approximation sequence, where (0, 1), is a uniformly asymptotically regular sequence, and f is a weakly contractive mapping.
Later, under the assumption that the multiplier approximation sequence remains bounded, the PTH algorithm was improved by Gao et al. [3] by solving an extra SLE.
Remark 2.2 The difference between Algorithm 2.2 and Algorithm 3.3 in [7] lies on the way of generating the outer approximation sequence.
Inner and outer approximation sequences to the solution of LCP are generated by the proposed algorithm.
The monotone iterative technique adds the information about the approximation sequences.
Two approaches observe on credible regions for the root, while the third one is an adaptation of stochastic approximation sequences.
In this paper, we combine the idea of the active set strategy with the thought of TLAS, i.e., constructing inner and outer approximation sequences to the solution of LCP, and present a two-level domain decomposition algorithm.
In this section, we will change from the solution of system (1.1) to finding a fixed point for a vector-valued mapping, and by using the vector-valued mapping fixed point analysis method, show the convergence of the approximation sequences of the solution for system (1.1) in an ordered product Banach space.
