Author(s)

Idorenyin Etukudo

Department of Mathematics & Statistics, Akwa Ibom State University, Ikot Akpaden, Nigeria.

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.

Fibonacci Search Technique, Golden Section Search Technique, Optimal Designs, Response Surface, Unconstrained Optimization

Etukudo, I. (2017) The Optimum of a Quadratic Univariate Response Function Is Located at the Origin. American Journal of Operations Research, 7, 323-330. doi: 10.4236/ajor.2017.76024.