摘要
构造了一类数值稳定的求解非线性方程(方程组)的迭代法-Rosenbrock 半隐式迭代法,给出了这类方法的收敛阶分析,数值计算结果表明这类方法是十分有效的。
Most of many iterative methods presented for solving f(x)=0 are of instablity in computation on highly nonlinear problems.Rosenbrock semi-implicit iterative method which comes from the Rosenbrock method for solving stiff problem ofordinary differential equation has been drived to solve nonlinear equation or system ofequations.The method which is given the convergence order analyze has been provedto be effective by computational simulation.
出处
《哈尔滨工业大学学报》
EI
CAS
CSCD
北大核心
1993年第6期14-19,共6页
Journal of Harbin Institute of Technology
基金
国家自然科学基金
关键词
非线性方程
收敛阶
稳定性
Nonlinear equations
convergence order
stability
