期刊论文

中文

南华大学学报(自然科学版)

1673-0062

2023

37

5

81-86,96

10.19431/j.cnki.1673-0062.2023.05.012

湖南省自然科学基金项目(2019JJ40240)。

本校为第一机构

最小二乘问题是重要的数学与统计模型,广泛用于回归分析、参数估计、最优控制和数据拟合等领域。基于古典的Gauss-Seidel方法,推导了求解最小二乘问题的迭代格式。结合Gauss-Seidel方法和Polyak'...展开更多 最小二乘问题是重要的数学与统计模型,广泛用于回归分析、参数估计、最优控制和数据拟合等领域。基于古典的Gauss-Seidel方法,推导了求解最小二乘问题的迭代格式。结合Gauss-Seidel方法和Polyak's Heavy-Ball技术,提出了动量型Gauss-Seidel方法的算法框架。根据贪婪的策略选择指标,建立了贪婪的动量型Gauss-Seidel方法的线性收敛性。最后,数值实验表明贪婪的动量型Gauss-Seidel方法在迭代步...

The least-squares problem is an important mathematical and statistical model,which is widely used in regression analysis,parameter estimation,optimal control and data fitting.Based on the classical Gauss-Seidel method,the iterative scheme for solving the least-squares p...MORE The least-squares problem is an important mathematical and statistical model,which is widely used in regression analysis,parameter estimation,optimal control and data fitting.Based on the classical Gauss-Seidel method,the iterative scheme for solving the least-squares problem is deduced.Combining Gauss-Seidel method and ...