文献类型：期刊文献

中文题名：多指数衰减曲线的拟合问题

英文题名：Curve Fitting Problems of Multi-Expouential Decay Expressions

作者：俞文(鱼此)[1];黄晓[2]

机构：[1]华东化工学院应用数学研究所;[2]无锡轻工业学院

年份：1990

卷号：4

期号：1

起止页码：57

中文期刊名：应用数学与计算数学学报

外文期刊名：Communication on Applied Mathematics and Computation

语种：中文

中文关键词：曲线拟合;非线性;最优化;近似解;权

摘要：对于多指数衰减曲线的拟合问题、本文就以下三个问题给出了回答:如何确定近似解,如何选择相应的非线性最小二乘问题的权,以及如何根据数据确定多指数衰减曲线的项数。
Given a set of data, Curve-fitting problems of multi-expontial decay expressions are formulated as problems of nonlinear least squares. In this paper, three related questions are discussed as follows: at first, a method of calculating approximate solution as a good initial point for nonlinear least squares is described, secondly, results on weight selection for nonlinear least squares are reported based on computational experiments, at last, a theorem on deciding the number of decay terms is proved.