This paper puts the random research strategy of simulated annealing methed into the Powell algorithm
calling them PSAM in brief. It can pretent optimizing course from trapping the local minimum and can get the global minimum
moreoer
a large number of iteration can be reduced. A typical algebraic equation with many local minimums is optimzed by PSAM. Its optimized course ooincides comletely with the idea of this paper and it presents a lot of advantages. At last
an ion source extraction system is also optimiZed by PSAM and satisfactory results have been got on the 586 microcomputer.