DocumentCode
527371
Title
The optimal approximation solution associated with a nonnegative definite constraint matrix equation
Author
Xie, Cong-Xiu ; Zeng, Juan
Author_Institution
Sch. of Sci., Beijing Inf. Sci. & Technol. Univ., Beijing, China
Volume
1
fYear
2010
fDate
11-14 July 2010
Firstpage
117
Lastpage
121
Abstract
It is studied to find a positive semidefinite(not necessarily symmetric) matrix A satisying equation AX = B for given X, B. The solvable conditions are given and a general expression of the solutions is provided. The problem to find the positive semidefinite matrix  which minimizes A*-A in Frobenius norm is considered, where matrix A satisfies AX = B. Some numerical results are also reported.
Keywords
matrix algebra; Frobenius norm; nonnegative definite constraint matrix equation; optimal approximation solution; positive semidefinite matrix; Cybernetics; Eigenvalues and eigenfunctions; Equations; Machine learning; Matrix decomposition; Symmetric matrices; Matrix equation; Positive semidefinite matrix; Singular value decomposition;
fLanguage
English
Publisher
ieee
Conference_Titel
Machine Learning and Cybernetics (ICMLC), 2010 International Conference on
Conference_Location
Qingdao
Print_ISBN
978-1-4244-6526-2
Type
conf
DOI
10.1109/ICMLC.2010.5581083
Filename
5581083
Link To Document