Structure of the least square solutions and some problems in computer algebra (Computer Algebra - Theory and its Applications)

Abstract

In this article, we study the structure of the least square solutions to over determined systems. We establish how to approximately solve overdetermined systems derived from practical requirement, which is our main result in this article. As applications of our main result, we take two examples. One is the rebar detection in RC structures and the other is GNSS positioning technique. We also pose some problems in computer algebra for further development of our main result.