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计算非线性方程组所有解的同伦连续法
HOMOTOPY CONTINUATION METHODS FOR COMPUTING ALL SOLUTION TO SYSTEMS OF NONLINEAR EQUATIONS
【摘要】 在化工领域中,数学模拟导致非线性方程组的求解问题。介绍了一种同伦连续算法,可以不依赖于初值,求出非线性方程组的所有解。特别是经过映射变换,数学计算更为方便。
【Abstract】 In many fields of chemical engineering, mathematical modelling leads to systems of nonlinear alpbraic equations.In this paper,the tiomotopy continuation which can systematically locate allsolutions of systems of nmlinear equations from any given starting guess was presented. The numerical computation will be more convensent if the homolopy continuation is incorporated with some mappings.
【关键词】 非线性方程组;
同伦连续;
映射;
全域收敛;
【Key words】 systems of nonlinear equations; homotopy continuation; mapping; global convergence.;
【Key words】 systems of nonlinear equations; homotopy continuation; mapping; global convergence.;
- 【文献出处】 南京化工大学学报 ,JOURNAL OF NANJING UNIVERSITY OF CHEMICAL TECHNOLOGY , 编辑部邮箱 ,1994年03期
- 【分类号】O241.7
- 【被引频次】3
- 【下载频次】360