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.
References in periodicals archive ?
Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems.
Saad, "Perturbation theory in a framework of iteration methods," Physics Letters A, vol.
In any case, a sample of size 65536 was considered for analysis of the iteration methods. The input sample was generated according to the uniform density function of each input variable.
To prove our main theorem, we first define how to compare the rate of convergence between two iteration methods and then give some useful lemmas to accomplish our result.
After introducing heat transfer, they cover the homotopy perturbation method, He's variational iteration methods, assessing homotopy perturbation and variational iteration methods in heat transfer, Adomian's decomposition method, differential transformation, homotopy analysis, optimal homotopy analysis, and Akbari-Ganji's method.
Nourein, "An improvement on two iteration methods for simultaneous determination of the zeros of a polynomial," International Journal of Computer Mathematics, vol.
Li, "Two CSCS-based iteration methods for solving absolute value equations," Journal of Applied Analysis and Computation, vol.
In this article, Taylor expansion and variational iteration methods are proposed to solve a fuzzy linear Volterra integral equation of the second kind.
Using Taylor Series and Newton Iteration methods, functions beyond the scope of polynomials can also be computed by DNA circuits built upon our architecture."
Tables 1, 2, and 3 show that Picard-S iteration method (2) converges faster than all SP [3], Picard [4], Mann [5], Ishikawa [6], S [7], CR [13], S* [14], Noor [15], and Normal-S [16] iteration methods including a new three-step iteration method due to Abbas and Nazir [17].
Sadighi, "Application of homotopy-perturbation and variational iteration methods to nonlinear heat transfer and porous media equations," Journal of Computational and Applied Mathematics, vol.