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多指数衰减曲线的拟合问题 被引量:2

Curve Fitting Problems of Multi-Expouential Decay Expressions
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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.
出处 《应用数学与计算数学学报》 1990年第1期57-69,74,共14页 Communication on Applied Mathematics and Computation
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