47 research outputs found
On rank range of interval matrices
An interval matrix is a matrix whose entries are intervals in the set of real
numbers. Let be nonzero natural numbers and let be a interval matrix; given a matrix
with entries in the set of real numbers, we say that if
for any . We establish a criterion to
say if an interval matrix contains a matrix of rank . Moreover we determine
the maximum rank of the matrices contained in a given interval matrix. Finally,
for any interval matrix with no more than columns, we describe a way
to find the range of the ranks of the matrices contained in .Comment: corrected Section