求解非线性最小二乘问题的迭代法

求解非线性最小二乘问题的迭代法 Iterative Method for Solving Nonlinear Least-Squares Problems 陈忠 CHEN Zhong 1 1 2 3 first-author 黄惠 2 1 2 3 武汉大学计算机学院 武汉大学计算机学院 School of Computer,Wuhan University School of Computer,Wuhan University 武汉大学数学与统计学院 湖北武汉430072江汉石油学院理学院 武汉大学数学与统计学院 湖北武汉430072江汉石油学院理学院 School of Science,Jianghan Petroleum Institute School of Science,Jianghan Petroleum Institute ,湖北,荆州,434023 ,湖北,荆州,434023 School of Mathemaths and Statistics,Wuhan University School of Mathemaths and Statistics,Wuhan University 基于解线性方程组的Jacobi迭代法的思想 ,本文提出了一种求解非线性最小二乘问题的迭代法 ,大量的数值试验表明该迭代法具有较好的收敛性 另外 ,还将所设计的迭代法进行了并行化 We present an iterative method for solving nonlinear least squares problems,on the basis of Jacobi method for solving system of linear equations,where numerical experiments show quite promising performance of the parallel algorithm. Furthermore,we parallelize the proposed iterative method so that it is more efficiently large scale problems. 非线性最小二乘问题 迭代法 并行算法 nonlinear least squares problems iterative method parallel algorithm O224 中国天然气集团中青年创新基金资助项目 （2 0 0 2f70 1 0 4 ） 2003-01-01 2021-04-01 1