In this paper,we apply the Nelder-Mead simplex method to deal with the measurement data to get the size of the Nanoparticle based on the so-called photon correlation spectroscopy.

An improved simplex method(ISM)based on Nelder and Mead s simplex method(N-M SM) is presented for unconstrained function optimization.

A new modified simplex method can effectively accelerate convergence velocity of iteration.

A new modified nonlinear simplex method is offered.

Fresh views on some recent developments in the simplex algorithm;

The systematic optimization for the MEKC separation of PTC amino acids by using a dynamic scouting optimization method controlled weighted centroid variable size simplex algorithm was established.

Mixture genetic algorithm fusing the advantage of steeply convergence and highly precession of simplex algorithm and global convergence of genetic algorithm,is used to improve the searching process and precision.

Based on the in-depth analysis of genetic algorithm and simplex algorithm and with the combination of the two,the paper proposes the simplex immune hybrid algorithm.