A review of generalized inverse matrix and its block structure

Subject Areas : Statistics

fatemeh babakordi ^{1 *}

1 - Assistant Professor, Department of Mathematics and statistics, Faculty of Basic Science, Gonbad Kavous University, Gonbad Kavous, Iran.

Received: 2020-01-05 Accepted : 2020-04-09 Published : 2021-05-22

Keywords: ماتریس منفرد, ماتریس نامنفرد, نمایش بلوکی, معکوس تعمیم یافته,

Abstract :

If a matrix is square and nonsingular namely its rows (or columns) are linear independent, it is said that the matrix is invertible. In recent years, in various fields of applied mathematics, there has been a need to find the inverse of singular and rectangular matrices. Therefore, an inverse was defined that founds the inverse for larger class of nonsingular matrices while still having some properties of conventional inverse which gives the same inverse when the matrix is nonsingular. This inverse is called generalized inverse or quasi-inverse. In this paper, the most common types of such inverse are investigated.

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