Moore-Penrose inverse of an interval matrix and its application

Document Type : Research Article


Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran


 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.


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