Some new representations of the CMP inverses of matrices and its several applications

This thesis is organized in five parts. In the first chapter, a short introduction is given by mentioning the purpose of the thesis study. In the second chapter, the basic definitions, theorems and some general informations that will be required in our study are expressed. In this chapter, the definitions and some properties of Moore-Penrose inverse, Core invers and Core-EP inverse for a matrix are given. In the third chapter, it is given the definition of the CMP inverse of a matrix and considered some properties of the this inverse. Furthermore, some new representations and several applications of the CMP inverses of matrices are given in this chapter. In the fourth chapter, conclusions and recommendations are given. In the fifth chapter, the sources used in the thesis are listed.