The La Grange linear similarity transformation (completing the square) can be used to remove all cross-product terms from a quadratic form. It is shown that the La Grange transformation may be found conveniently by adapting the well-known Gauss elimination procedure for solving linear equations....

A minimax search plan is developed for locating the maximum of a unimodal function of one variable with a sequence of blocks of simultaneous function evaluations. The proposed "block search strategy" is described for any number of simultaneous function evaluations (experiments) and for any...

A minimax search plan is developed for locating the maximum of a one dimensional unimodal function when a time delay occurs between the placement of an experiment and the result. The optimal search plans, among all the plans which place only one experiment at each unit of time, are determined...

In a previous paper [Avriel, M., D. J. Wilde. 1966. Optimal search for a maximum with sequences of simultaneous function evaluations. Management Sci. 12 722.], the authors presented the minimax block search strategy for locating the maximum of unimodal functions of one variable by a sequence of...