NDLI: Comparison between Newton and response-surface methods

Content Provider	Springer Nature Link
Author	Kress, G.R. Ermanni, P.
Copyright Year	2005
Abstract	A supporting-point placement scheme is presented that is used for calculating function derivatives by the method of differences as well as a quadratic response-surface approximation. The placement scheme unifies the Newton (NM) and response-surface (RSM) methods in the limiting case when the point-set distance parameter for the RSM is chosen as small as that for obtaining the derivatives needed by the NM. Two new RSM minimization strategies with and without line searches are presented. The numerical performance of the algorithms is studied by using well-known test functions and the paths through the two-dimensional variables space are plotted for easier interpretation of the performance results. The results are compared with results of numerical experiments found in the literature.
Starting Page	368
Ending Page	380
Page Count	13
File Format	PDF
ISSN	1615147X
Journal	Structural and Multidisciplinary Optimization
Volume Number	30
Issue Number	5
e-ISSN	16151488
Language	English
Publisher	Springer-Verlag
Publisher Date	2005-07-05
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Newton method response-surface method sampling point placement schemes Numerical and Computational Methods in Engineering Theoretical and Applied Mechanics Civil Engineering Computer-Aided Engineering (CAD, CAE) and Design
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Computer Graphics and Computer-Aided Design Control and Systems Engineering Computer Science Applications Software

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