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
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;
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
DOI :
10.1109/CDC.2005.1582321
