iterative method


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iterative method

[′īd·ə‚rād·iv ′meth·əd]
(mathematics)
Any process of successive approximation used in such problems as numerical solution of algebraic equations, differential equations, or the interpolation of the values of a function. Also known as iteration.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Recently, Takahashi and Takahashi [23] considered problem (1.4) by an iterative method. To be more precise, they proved the following theorem.
An iterative method is said to be of order p or has the rate of convergence p if p is the largest number for which there exist a finite constant c [not equal to] 0 such that,
Babaie-Zadeh, A novel spike noise cancellation based on the iterative method, Proc.
In this paper, we present three step iterative method for solving non-linear single variable equations.
For the iterative method, AF was diluted with a one-tenth volume of phosphate buffer, pH 6.6 (5), and the absorbance was measured at 360, 405, 414, and 455 nm.
Born (16) suggested the possibility that Kirchhoff's formula may be only one in a series of successive approximations, and Franz (17) re-derived it by an iterative method in which the discontinuities of previous solutions are regarded as secondary sources of light.
When droptol = 0, lfill must fall within a relatively narrow interval in order for the iterative method to be preferred, and this is increasingly true as [Alpha] increases.
The iterative method that has been simulated in neural network was Newton's method.
Unlike the Neumann series expansion and the Newton iterative method with the number of expansion terms exceeding three(t [greater than or equal to] 3 ) or two(t [greater than or equal to] 2), whose complexity is surpassing that of the exact matrix inversion, the MLR method and the methods based on linear equation solving can reduce it from O([K.sup.3]) to O([K.sup.2]) for any arbitrary number of iterations.
Some of the most important papers in this area are trapezoidal quadrature rule and iterative method [10-12], triangular functions [13], quadrature iterative [14], Bernstein polynomials [15], collocation fuzzy wavelet like operator [16], homotopy analysis method (HAM) [17], open fuzzy cubature rule [18], kernel iterative method [19], modified homotopy pertubation [20], block-pulse functions [21], optimal fuzzy quadrature formula [22], and finally, iterative method and fuzzy bivariate block-pulse functions [23].
Using Equation (27), the maximal relative error in the domain of applicability of the Colebrook equation is 8.29% (Figure 6), and using acceleration Equation (28), that is, single fixed-point iterative method [12], the maximal relative error is 0.69% (Figure 7), 0.0617% (Figure 8), etc.
Iterative Method. The Iterative Method can calculate the threshold in a certain extent automatically.

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