Glycerin triacctatc was synthesized using ammonium fcrric sulfatcdodecahydratc as catalyst, and optimum condition of cstefificafion was studicd with the simplex optimal method.

Since the global optimization seeking method used in the traditional multilayer design is very slow and difficult to get an ideal film system, an optimizing method based on the well-known Frensnel equations and simplex optimization is used in the design of optical element of multilayer for soft X-ray and X-ray.

Then the first coating structure is given by the way of Yamshita, and the optimization of the multilayer has been achieved by using the algorithm of simplex optimization.

The linear programming modal of improving the load capacity of prestressed trusses is established and a two-step algorithm is put forward,simplex method and criteria method are adopted.