On the Least Squares Solutions of a System of Bilinear Equations

Er-Wei Bai; Yun Liu

doi:10.1109/CDC.2005.1582321

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Conference proceeding

On the Least Squares Solutions of a System of Bilinear Equations

Er-Wei Bai and Yun Liu

Proceedings of the 44th IEEE Conference on Decision and Control, Vol.2005, pp.1197-1202

2005

DOI: 10.1109/CDC.2005.1582321

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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.

Cities and towns

Convergence of numerical methods

Cost function

Equations

Iterative methods

Least squares methods

Scattering

Sufficient conditions

Systems engineering and theory

Vectors

Details

Title: Subtitle: On the Least Squares Solutions of a System of Bilinear Equations
Creators: Er-Wei Bai - University of Iowa
Yun Liu
Resource Type: Conference proceeding
Publication Details: Proceedings of the 44th IEEE Conference on Decision and Control, Vol.2005, pp.1197-1202
Publisher: IEEE
DOI: 10.1109/CDC.2005.1582321
ISSN: 0191-2216
Language: English
Date published: 2005
Academic Unit: Electrical and Computer Engineering
Record Identifier: 9984197423402771

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