DocumentCode
2887132
Title
The Least-Squares Solutions of Inverse Problems for Symmetric Orthogonal Anti-Symmetric Matrices
Author
Sheng, Yan-Ping ; Wang, Lai-sheng
Author_Institution
Coll. of Sci., China Agric. Univ., Beijing
fYear
2006
fDate
13-16 Aug. 2006
Firstpage
631
Lastpage
634
Abstract
In this paper, the inverse problem of matrices is discussed, by applying spectral resolution and singular values decomposition of matrix, the solutions and least-squares solutions of some inverse problem of matrices are considered. We also study necessary and sufficient conditions for the existence of the solution of this inverse problem of matrices. We also derive the general forms of this solutions. We also obtain the least-squares solutions of this inverse problem of matrices
Keywords
inverse problems; least squares approximations; singular value decomposition; inverse problem; least-squares solution; singular value decomposition; spectral resolution; symmetric orthogonal antisymmetric matrices; Cybernetics; Educational institutions; Gold; Inverse problems; Machine learning; Machinery; Matrix decomposition; Strontium; Sufficient conditions; Symmetric matrices; Inverse problem; Least-squares solutions; Matrix norm; Symmetric orthogonal anti-symmetric matrices;
fLanguage
English
Publisher
ieee
Conference_Titel
Machine Learning and Cybernetics, 2006 International Conference on
Conference_Location
Dalian, China
Print_ISBN
1-4244-0061-9
Type
conf
DOI
10.1109/ICMLC.2006.258389
Filename
4028140
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