DocumentCode
3108903
Title
On the Least Squares Solutions of a System of Bilinear Equations
Author
Bai, Er-Wei ; Liu, Yun
Author_Institution
Dept. of Electrical and Computer Engineering, University of Iowa, Iowa City, Iowa 52242, er-wei-bai@uiowa.edu
fYear
2005
fDate
12-15 Dec. 2005
Firstpage
1197
Lastpage
1202
Abstract
The problem of finding a least squares solution for a system of bilinear equations is investigated. Suffcient conditions to have a unique minimum are given in the cases of random inputs. Three methods, the normalized iterative method, the over-parametrization method and the numerical method are presented for solving the least squares problem along with their convergence properties. Simulation examples are provided.
Keywords
Cities and towns; Convergence of numerical methods; Cost function; Equations; Iterative methods; Least squares methods; Scattering; Sufficient conditions; Systems engineering and theory; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN
0-7803-9567-0
Type
conf
DOI
10.1109/CDC.2005.1582321
Filename
1582321
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