Solutions to some matrix inequalities

An introduction including some literature information related to the thema of the study has been given in the first chapter. This work is consist of five chapters with this chapter. In the Chapter 2, some definitions and some theorems that will be fundamental in the sequel chapters are given. In the Chapter 3, Minimal Correction Problem is considered by minimal changing in the right hand vector using the norm . In the Chapter 4, it is presented an iterative method to compute the symmetric solutions of the matrix inequality in the least-squares sense. In the Chapter 5, an iterative algorithm is proposed to solve matrix inequalities with linear constraints.