On the Least Squares Solutions of a System of Bilinear Equations

摘要

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.