C-S inverse of matrices and its several applications

This thesis is organized in six 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. Also in this chapter, the definition of core inverse of a matrix and some of its properties are listed. In the third chapter, firstly the definition of core-EP inverse of a matrix and some of its properties are given. In the fourth chapter, it is given the definition of the C-S inverse of a matrix and considered some properties of the C-S inverses. Furthermore, some computational methods and several applications of the C S inverses of matrices are given. In the fifth chapter, conclusions and recommendations are given. In the sixth chapter, some sources used in this thesis are listed.