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The effect of data grid size on certain interpolation methods for unconstrained function minimization

✍ Scribed by M. Judelman; D.H. Jacobson

Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
546 KB
Volume
3
Category
Article
ISSN
0898-1221

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✦ Synopsis

Interpolation methods fit a model to a given objective function by evaluating the objective function at, say, M points of a grid. If the model has, say, N independent coefficients which have to be determined, they are found by solving a set of M linear simultaneous equations in N unknowns.

In this paper the effect on these methods is tested of enlarging the size of the grid (M) to include more than N points. Numerical results show that the optimal data grid size tends to occur when M = N.

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