Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10997863 | Linear Algebra and its Applications | 2019 | 17 Pages |
Abstract
An interval matrix is a matrix whose entries are intervals in R. Let p,qâNâ{0} and let α=([α_i,j,αâ¾i,j])i,j be a pÃq interval matrix; given a pÃq matrix A with entries in R, we say that Aâα if ai,jâ[α_i,j,αâ¾i,j] for any i,j. We establish a criterion to say if an interval matrix contains a matrix of rank 1. Moreover we determine the maximum rank of the matrices contained in a given interval matrix. Finally, for any interval matrix α with no more than 3 columns, we describe a way to find the range of the ranks of the matrices contained in α.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Elena Rubei,