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).
Kirk, On successive approximations for nonexpansive mappings in Banach spaces, Glasgow Math.
The method of successive approximations is justified for this system in a functional space in which convergence is uniform.
The second solution of equation (1) obtained from the method of successive approximations is the solution
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].
We consider that this work pave the way for the resolution of the problem of convergence of successive approximations of an important class of stochastic differential equations involving the local time of the unknown process.
When I consider a project, I almost always start to design with a pencil, because I believe that thought passes through the hand onto the sheet through successive approximations.
For example, when trying to articulate the use of shaping (rewarding successive approximations of a desired behavior), a learning instructor might explain how a researcher who is interested in teaching a pigeon to peck a colored disk (known as a "key") in an operant chamber might first allow the pigeon access to a food hopper for facing the key, then for moving into the side of the chamber where the key is located, and so forth.
Work toward musical excellence through successive approximations.

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