Applications of generalized inverse to circulant matrices, intersection projections, and linear programming

The theory of generalized inverse plays an important role in numerical analysis, least-squares theory, statistical estimation, network analysis, and many other areas of pure and applied mathematics. The purpose of this dissertation is to display several new applications of generalized inverse to the following fields: circulant matrices, intersection projections, and linear programming. These new applications are of theoretical as well as practical importance. In Chapter I, we discuss the spectral properties of circulant matrices. [...]