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The Optimum of a Quadratic Univariate Response Function Is Located at the Origin
Department of Mathematics & Statistics, Akwa Ibom State University, Ikot Akpaden, Nigeria
- 1 Department of Mathematics & Statistics, Akwa Ibom State University, Ikot Akpaden, Nigeria
American Journal of Operations Research·Volume 07 (2017)·Pages 323–330·Published 17 October 2017·DOI10.4236/ajor.2017.76024
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Abstract
This work has successfully shown that the optimum of a quadratic response function with zero coefficients except that of the quadratic term lies at the origin. This was achieved by using optimal designs technique for solving unconstrained optimization problems with quadratic surfaces. In just one move, the objective of the work, that is, x min = 0 was realized.
KeywordsFibonacci Search TechniqueGolden Section Search TechniqueOptimal DesignsResponse SurfaceUnconstrained Optimization
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