# successive approximations

## successive approximations

[sək′ses·iv ə‚präk·sə′mā·shənz]
(mathematics)
Any method of solving a problem in which an approximate solution is first calculated, this solution is then used in computing an improved approximation, and the process is repeated as many times as desired.
References in periodicals archive ?
Token depositing was established by the method of successive approximations using a method similar to the procedure described by Malagodi (1967).
Hence, the Gouy phase expression for the exact nondiffracting field solution arises from the Gouy phase expressions for the successive approximations to the exact HE solution.
Kirk, On successive approximations for nonexpansive mappings in Banach spaces, Glasgow Math.
The existence proof is made by successive approximations in [5].
The parameters a, e, s can be determined by the method of successive approximations at the level of small quantities of order [[epsilon].
The method of successive approximations is justified for this system in a functional space in which convergence is uniform.
The method of successive approximations yields the solution of equation (1) [1] as:
Thus, the method of shaping is also known as successive approximations.
The process of successive approximations is considered completed when, for ([for all])n, [parallel]{[u.
As described in the earlier work (1) we used the successive approximations results to the solution of the pendulum's differential equation where the approximation sin([theta])[approximately equal to][theta]-[[theta].

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