摘要
针对求解过程中遇到的非线性方程组以及强烈依赖于初始值的局部解,提出用线性方程组来代替非线性方程组,然后通过矩阵代数运算找到最优化问题的拟整体解.理论和数值实验结果令人满意.
In order to avoid solving the system of nonlinear equation and the local solution that strongly depends on initial value, we substitute a system of linear equation for the system of nonlinear equation.Then, the quasi-global solution can be got by algebraic operation of matrix, The theory and numerical examples show that the results are satisfactory.
出处
《计算机辅助设计与图形学学报》
EI
CSCD
北大核心
2005年第8期1778-1784,共7页
Journal of Computer-Aided Design & Computer Graphics
基金
国家自然科学基金(10371026)
关键词
最优化
局部解
整体解
矩阵代数
牙科学
optimization
local solution
global solution
algebra of matrices
dentistry
