求解化工中非线性方程组的一种改进拟牛顿方法  

A MODIFIED QUASI-NEWTON METHOD FOR SOLVING SIMULTANEOUS NONLINEAR EQUATIONS

作　　者：蒋兆贵[1] 

机构地区：[1]成都科技大学化工系

出　　处：《化学工程》1990年第3期69-73,共5页Chemical Engineering(China)

摘　　要：在求解非线性方程组的拟牛顿法的基础上(本文选用BFGS秩2算法),本文使用部分一维搜索,得到了一种能扩大收敛域,提高数值稳定性的改进拟Newton法——BZ法。并用四个化学工程中的非线性问题和换热网络的模拟对BFGS算法和BZ算法进行了比较。结果表明,BZ算法优于BFGS算法。On the basis of BFGS method for solving simultaneosu nonlinear equations, a modified Quasi-Newton method(BZ method)based on the partial one-dimensional search technique is developed for promoting the convergency and the stability of nonlinear equations, and four nonlinear prolems and a heat exchanger network in chemical engineering are simulated to compare BFGS with BZ methods, the results show that the BZ method is superior to-BFGS method.

关 键 词：化工计算 非线性方程组 拟牛顿法 

分 类 号：TQ015[化学工程]