Moore-Penrose inverse of an interval matrix and its application

In this paper, we introduce the concept of Moore-Penrose inverse of a rectangular interval matrix based on a modified interval arithmetic. We determine the Moore-Penrose inverse in such a way that it satisfies all the four criteria similar to the real case. Also, we use the Moore-Penrose inverse for solving rectangular interval linear systems, algebraically.

کلیدواژه ها:

Inverse matrix ، Moore-Penrose inverse ، Rectangular linear system