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奇异值分解法在秩亏自由网平差中的应用

李行洋

人民长江Issue(13):37-39,3.
人民长江Issue(13):37-39,3.

奇异值分解法在秩亏自由网平差中的应用

Application of singular value decomposition in rank defect free network adjustment

李行洋1

作者信息

  • 1. 湖北水利水电职业技术学院,湖北 武汉430070
  • 折叠

摘要

Abstract

In classical adjustment, the normal equations have a unique solution if the error equation coefficient matrix achieved by indirect adjustment is a full column rank, and the normal equation coefficient matrix achieved by the same method is a sym-metrical full rank matrix. When there is no necessary initial data in control network, the error equation coefficient matrix by indi-rect adjustment is a non-full column rank and the corresponding normal equation is also a rank deficient singular matrix. The paper discusses the solution for normal equation coefficient matrix in the rank defect free network.

关键词

秩亏自由网/极小范数解/特征值/正交向量

Key words

rank defect free network/small norm solution/eigenvalue/orthogonal vector

分类

建筑与水利

引用本文复制引用

李行洋..奇异值分解法在秩亏自由网平差中的应用[J].人民长江,2014,(13):37-39,3.

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