一元非线性系统的BP算法研究

详细研究了一种一元非线性系统的BP算法,提出并证明了该算法的收敛性定理,给出了该算法的应用实例.计算机仿真结果表明:对于随机给定的初始点,该算法都能稳定收敛到它的一个实根,而且计算精度可控,因此,该算法是有效的.与传统的计算方法相比,本文算法不仅具有收敛速度快,而且计算精度可控以及初始点随机给定的集中优点.

BP Arithmetic Study To Solve Non-Linear Equations In One Variable

This paper traverses the BP arithmetic to solve non-linear system in one variable, presents and proves the convergence theorem of the arithmetic, shows the application example.The simulation results show that the arithmetic can always converge to its real root for the random initial value, and that its precision is alterable, therefore the arithmetic is valid.Comparing with conventional arithmetic, the arithmetic in this paper has the excellence including fast convergence speed, alterable precision, and random initial value.