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最小范数在秩亏自由网平差中的应用
引用本文:王军.最小范数在秩亏自由网平差中的应用[J].科技信息,2012(7):101-102.
作者姓名:王军
作者单位:神华宁夏煤业集团有限责任公司麦垛山煤矿,宁夏银川750408
摘    要:为了比较经典自由网平差与秩亏自由网平差解法的特点,本文在分析秩亏自由网平差方法的基础上应用最小二乘法和最小范数法对同一水准网进行了解算,结果表明最小二乘解不唯一,权逆阵也不唯一,但改正数唯一;最小范数解与最小二乘解的改正数相同且结果唯一。

关 键 词:秩亏自由网  最小二乘解  最小范数解

Applications of Minimum Norm in Rank Deficient Free Network
WANG Jun.Applications of Minimum Norm in Rank Deficient Free Network[J].Science,2012(7):101-102.
Authors:WANG Jun
Institution:WANG Jun (Maiduoshan Mine,Shenhua Ningxia Coal Industry Group Company Ltd.,Yinchuan Ningxia,750408, China)
Abstract:In order to compare the classical free net adjustment and rank deficient free network solution, this article analysis rank deficient free net adjustment method for the application on the basis of least square and least norm method on the same level net for understanding, shows that the least-squares solution is not unique, right inverse is not only unique, but corrections; minimum norm and least-squares solution the same as the number of corrections and the result is unique.
Keywords:Rank deficient free network  Least-squares solution  Minimum norm solution
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