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线性最小二乘问题解流形的逼近性
引用本文:刘新国.线性最小二乘问题解流形的逼近性[J].中国海洋大学学报(自然科学版),1996(3).
作者姓名:刘新国
基金项目:国家青年自然科学基金!19301028
摘    要:研究两个线性最小二乘问题解流形之间的逼近性。所得结果可看作普通最小二乘问题扰动理论的继续。推广了若干已有结论。

关 键 词:线性  最小二乘问题  解集合  逼近  扰动

ON THE APPROXIMATION BETWEEN SOLUTION SETS OF TWO LEAST SQUARES PROBLEMS
Liu Xinguo.ON THE APPROXIMATION BETWEEN SOLUTION SETS OF TWO LEAST SQUARES PROBLEMS[J].Periodical of Ocean University of China,1996(3).
Authors:Liu Xinguo
Institution:Applied Mathematics Department
Abstract:This paper deals with the approximation between the solution sets of two least squares problems. Our results obtained in this paper are developments of the perturbation theory which concerns the unique solution case. Some of the results proved by Ding Jiu, Dupre and Kass are extended.
Keywords:linearity  least squares  solution set  approximation  perturbation  
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