The New Characteristics Of Generalized Inverse Of Matrices

Generalized inverse is still a controversial issue in the matrix researcher community.In recent years,Chinese and foreign professors have made a great deal of mathematical effort in generalized inverses of matrices,and then obtained many corresponding properties.In this paper,we mainly obtain the characteristics of core-EP inverse,DMP-inverse and BT-inverse of complex matrices.The concern of this article have been showed as follows:Firstly,we mainly introduces the background of the topic selection and the symbols which will need in the article.Secondly,we mainly obtain some new revisitation of core EP inverse of matrices by using core-EP decomposition.And then by the property of(7)B,C(8)-inverse,we get that the core-EP inverse is a specific(7)B,C(8)-inverse.Thirdly,we mainly get some new revisitation of DMP-inverse of matrices by using?-K-L decomposition.Then we obtain some canonical forms about the DMP-inverse of a square matrix A by applying core-EP decomposition and limit expression.Finally,we mainly get some new revisitation of BT-inverse of matrices by using?-K-L decomposition.Then we give some canonical forms for the BT-inverse of a square matrix A by using limit expression.Next we have maximal classes of matrices determining BT-inverses.