A Fast High-Precision Algorithm for Ramification Value of Nonlinear Algebraic Mapping Problems
Hou Xiang-lin · Journal of Northeastern University · 2005
The ramification values of nonlinear algebraic mapping dynamic system are studied, and a novel high precision algorithm of dimidiate reducing ramification values is proposed. Thus, the longer computing time spent for the step redistribution in the step-increment algorithm can be shortened, and the relatively low computing accuracy of optimal algorithm for ramification values, which are due to the errors of the objective function itself, can be improved further. A logistic mapping problem is computed typically via the programming and a number of ramifications values are obtained within the accuracy of 10~(-10). Compared with other existing algorithms,the method proposed is faster in computing speed and higher in precision, and will provide a reference for nonlinear problem and chaos studying.