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

This thesis is prepared in five chapters. In the first chapter, a shortly introduction is given by mentioning the aim of the thesis study. In the second chapter, the basic important definitions, theorems and some general informations that will be required in our study are expressed. In this chapter, the definitions and some properties of generalized invers, 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 this inverse. Furthermore, some computation methods 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.