On a global optimization technique for solving a nonlinear hyperboloid least squares problem

We present a numerical experimentation of the global optimization algorithm presented by Velazquez et al. (2001) applied to a nonlinear hyperboloid least squares problem. This problem arises when beta sheet residues from an allosteric enzyme are fitted onto a hyperboloid by using Newton type methods. The results show that the algorithm performs well on three test cases. An important side result of this study is that the nonlinear fitting procedure is vastly superior to the linear least squares procedures traditionally used for this type of problems.