Matrix volume method of the mean square deviation computation of least square solution

Shuqiang Xue; Yamin Dang; Wu Chen

Matrix volume method of the mean square deviation computation of least square solution

Shuqiang Xue, Yamin Dang, Wu Chen

Research output: Journal article publication › Journal article › Academic research › peer-review

Abstract

A simple and stable mean square deviation computation method without solving the linear equations is presented. The observing structure, the quality of observations and the accuracy of the function model can be evaluated before applying least square adjustment by using the proposed method in this method.

Original language	Chinese (Simplified)
Pages (from-to)	1106-1109
Number of pages	4
Journal	Wuhan Daxue Xuebao (Xinxi Kexue Ban)/ Geomatics and Information Science of Wuhan University
Volume	34
Issue number	9
Publication status	Published - 1 Sept 2009

Keywords

Least square adjustment
Mahalanobis volume
Matrix volume
Mean square deviation
Numerical stability

ASJC Scopus subject areas

Earth-Surface Processes
Computer Science (miscellaneous)

Cite this

@article{c219eabb84bb4e46ab73ec3519d31fed,

title = "Matrix volume method of the mean square deviation computation of least square solution",

abstract = "A simple and stable mean square deviation computation method without solving the linear equations is presented. The observing structure, the quality of observations and the accuracy of the function model can be evaluated before applying least square adjustment by using the proposed method in this method.",

keywords = "Least square adjustment, Mahalanobis volume, Matrix volume, Mean square deviation, Numerical stability",

author = "Shuqiang Xue and Yamin Dang and Wu Chen",

year = "2009",

month = sep,

day = "1",

language = "Chinese (Simplified)",

volume = "34",

pages = "1106--1109",

journal = "Wuhan Daxue Xuebao (Xinxi Kexue Ban)/ Geomatics and Information Science of Wuhan University",

issn = "1671-8860",

publisher = "Wuhan University",

number = "9",

}

TY - JOUR

T1 - Matrix volume method of the mean square deviation computation of least square solution

AU - Xue, Shuqiang

AU - Dang, Yamin

AU - Chen, Wu

PY - 2009/9/1

Y1 - 2009/9/1

N2 - A simple and stable mean square deviation computation method without solving the linear equations is presented. The observing structure, the quality of observations and the accuracy of the function model can be evaluated before applying least square adjustment by using the proposed method in this method.

AB - A simple and stable mean square deviation computation method without solving the linear equations is presented. The observing structure, the quality of observations and the accuracy of the function model can be evaluated before applying least square adjustment by using the proposed method in this method.

KW - Least square adjustment

KW - Mahalanobis volume

KW - Matrix volume

KW - Mean square deviation

KW - Numerical stability

UR - http://www.scopus.com/inward/record.url?scp=70349386315&partnerID=8YFLogxK

M3 - Journal article

SN - 1671-8860

VL - 34

SP - 1106

EP - 1109

JO - Wuhan Daxue Xuebao (Xinxi Kexue Ban)/ Geomatics and Information Science of Wuhan University

JF - Wuhan Daxue Xuebao (Xinxi Kexue Ban)/ Geomatics and Information Science of Wuhan University

IS - 9

ER -

Matrix volume method of the mean square deviation computation of least square solution

Abstract

Keywords

ASJC Scopus subject areas

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