Least squares solutions of bilinear equations

摘要

The problem of finding a least squares solution for a system of bilinear equations is investigated. Sufficient conditions to have a unique minimum are given in the case of random inputs. Three methods, the normalized iterative method, the over-parameterization method and the numerical method are presented for solving the problem along with their convergence properties. Simulation examples are provided. (c) 2005 Elsevier B.V. All rights reserved.