Sentence examples for iterative functions from inspiring English sources

Therefore, in this paper, we aim mainly to establish a well-posed condition of the iterative functions of finite element-Newton iterations for the p-Laplace equation and to provide theory analysis.

Even though the initial function fails to satisfy the well-posed condition, after a sufficient number of Newton iterations with default step length are implemented, well-posed iterative functions can be always obtained, as will be seen in the well-posed theorem of Section 3.

In this article, a functional minimum problem equivalent to the p-Laplace equation is introduced, a finite element-Newton iteration formula is established, and a well-posed condition of iterative functions satisfied is provided.

In Section 5, considering the well-posed condition and properties mentioned, we select an effective particular initial iterative function, which results in the special iterative functions involved in Section 4 by finite element Newton iterations with default step length.

Furthermore, according to the well-condition theorem, we know that well-posed iterative functions always exist, except the statement that the subsequent functions of iteration with step length 1 are all well posed, which means that despite the preceding well-posed functions, a subsequent function may be not well posed.

The well-posed theorem shows that though some iterative functions have poor properties, well-posed iterative functions are always obtained by Newton iterations.

Based on this fact, We let (y_{0}=U_{1}(x)), where (U_{1}(x)) is the iterative function obtained after single iteration taken as an initial values for fixed point iterative technique.

However, the convergence and convergence rate of the Newton iterations depend heavily on the selections of the initial iterative function and iterative step length.

Therefore, the iterative function of transmit power update in the DCPC algorithm with number of iteration ς = 0, 1, 2, ⋯ is specifically given as [45]: {p}_i^{left varsigma +1right)}=min left{{overline{p}}_i,frac{{mathrm{SINR}}_i^{tar}}{{mathrm{SINR}}_{left i,bright)}^{left varsigma right)}left(mathbf{P}right)}cdot {p}_i^{left varsigma right)}right}.

Considering the analysis described, we select a particular initial iterative function (5.3).

However, the total convergence speed heavily relies on selection of an initial iterative function.