摘要
工程上经常会涉及对未知参数进行标定求解,当各未知量之间量纲区别较大时,方程组可能出现病态问题.本文提出了一种基于方程组误差项求解方程的方法,根据求解方程与实际值间的误差项,建立正则参数与误差项之间的关系式,并通过迭代改进正则参数.通过实验表明该法对一些典型的病态方程标定问题能得到较高精度的解,并且求解步骤简单、速度快,为工程标定提供了一套新的求解手段,具有一定实用意义.
Calibration is the common method in engineering; the ill-posed problem may appear when the dimensions of calibration equation variables were large different. According to the error vector of equations, a method was described to solve the ill-posed problem. The relationship between the regularizati the error vector was identified, and the regularization parameter could be calculated and revised experiments showed that the method was simple and could rapidly solve some ill-posed problem, solving method to the calibration in engineering and had a certain pratical significance. on parameter and by iteration. The it provided a new solving method to the calibration in engineering and had a certain pratical significance.
出处
《广东技术师范学院学报》
2015年第5期10-13,共4页
Journal of Guangdong Polytechnic Normal University
关键词
标定方程
误差向量
迭代
正则参数
Calibration equation
Error vector
Iteration
Regularization parameter
