Rapid solution and application research of higher order nonsparse coefficient matrix linear equation system

Zong Bin Zhang; Zheng Hong Gao

Rapid solution and application research of higher order nonsparse coefficient matrix linear equation system

Zong Bin Zhang
, Zheng Hong Gao

航空学院

Northwestern Polytechnical University Xian
China Aviation Industry Corporation

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

To solve linear equation system with an asymmetric, nonpositive-definition and nonsparse coefficient matrix, a residual minimization method based on Gaussian iteration is proposed. By using the method, a rapid and monotone reduction of the residual could be achieved and the optimization efficiency could be increased for a design problem. The result of the demonstration problem shows the feasibility and applicability of the method.

源语言	英语
页（从-至）	365-369
页数	5
期刊	Kongqi Donglixue Xuebao/Acta Aerodynamica Sinica
卷	23
期	3
出版状态	已出版 - 9月 2005

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title = "Rapid solution and application research of higher order nonsparse coefficient matrix linear equation system",

abstract = "To solve linear equation system with an asymmetric, nonpositive-definition and nonsparse coefficient matrix, a residual minimization method based on Gaussian iteration is proposed. By using the method, a rapid and monotone reduction of the residual could be achieved and the optimization efficiency could be increased for a design problem. The result of the demonstration problem shows the feasibility and applicability of the method.",

keywords = "Linear equation system, Panel method, Residual minimization",

author = "Zhang, \{Zong Bin\} and Gao, \{Zheng Hong\}",

year = "2005",

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language = "英语",

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journal = "Kongqi Donglixue Xuebao/Acta Aerodynamica Sinica",

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TY - JOUR

T1 - Rapid solution and application research of higher order nonsparse coefficient matrix linear equation system

AU - Zhang, Zong Bin

AU - Gao, Zheng Hong

PY - 2005/9

Y1 - 2005/9

N2 - To solve linear equation system with an asymmetric, nonpositive-definition and nonsparse coefficient matrix, a residual minimization method based on Gaussian iteration is proposed. By using the method, a rapid and monotone reduction of the residual could be achieved and the optimization efficiency could be increased for a design problem. The result of the demonstration problem shows the feasibility and applicability of the method.

AB - To solve linear equation system with an asymmetric, nonpositive-definition and nonsparse coefficient matrix, a residual minimization method based on Gaussian iteration is proposed. By using the method, a rapid and monotone reduction of the residual could be achieved and the optimization efficiency could be increased for a design problem. The result of the demonstration problem shows the feasibility and applicability of the method.

KW - Linear equation system

KW - Panel method

KW - Residual minimization

UR - https://www.scopus.com/pages/publications/27744577375

M3 - 文章

AN - SCOPUS:27744577375

SN - 0258-1825

VL - 23

SP - 365

EP - 369

JO - Kongqi Donglixue Xuebao/Acta Aerodynamica Sinica

JF - Kongqi Donglixue Xuebao/Acta Aerodynamica Sinica

IS - 3

ER -

Rapid solution and application research of higher order nonsparse coefficient matrix linear equation system

摘要

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