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 ?
Fukhar-ud-din: Strong convergence of a general iteration scheme in CAT(0) spaces, Nonlinear Anal.
The monotonic convergence of the modified iteration scheme (2.
Pedersen (2007) used the Gauss-Seidel iteration scheme for the enthalpy corrections in EnergyPlus.
The Mann iteration scheme [9], introduced in 1953, was used to prove the convergence of the sequence to the fixed points of mappings of which the Banach principle is not applicable.
Note that the iteration scheme for the quasilinear equations arising from elastoplasticity has first been given in [15] and then developed in [3,6,7].
Starting with a fixed point combinatorial specification (a system of combinatorial equations), we first provide an iteration scheme that converges to the combinatorial solution; then propagate this iteration scheme at the level of generating series and finally at the numerical level, showing that convergence at each stage is a consequence of convergence at the previous one.
Yao, Implicit iteration scheme with perturbed mapping for common fixed points of a finite family of nonexpansive mappings, Nonlinear Anal.
As an additional check of the iteration scheme, the number of iterations can be estimated from Eqn 14 using Eqns 30 and 31 for the derivative terms giving:
The iteration scheme used in "Resume Muser" utilizes noun phrase duplex terms descriptive of a person; these mostly begin with re- and end in -er, with helper words such as bare, care, hare, etc.
Cho: Convergence and almost stability of Ishikawa iteration scheme with errors for m-accretive operators, Comput.
Pedersen (2007) used Gauss-Seidel iteration scheme on the enthalpy method during the iterations in EnergyPlus.