Dec 18, 2013 · stating that, if the rank of A exceeds t-3, there is a rational matrix with the same sign pattern and rank as those of A. We point out a ...
The sign pattern of a matrix A ∈ R m × n is the matrix S = S ( A ) ∈ { + , − , 0 } m × n defined as S i j = + if A i j is positive, S i j = − if A i j is ...
Jan 12, 2022 · It is known that, for any real m-by-n matrix A of rank n-2, there is a rational m-by-n matrix which has rank n-2 and sign pattern equal to that of A.
Dec 19, 2021 · For any real m-by-n matrix A of rank n − 2, there is a rational m-by-n matrix which has rank n − 2 and sign pattern equal to that of A. Remark 2 ...
... Obviously the set of the matrices with a given sign pattern can be thought as a general interval matrices whose entries are from {(0, +∞), (−∞, 0), [0]}.
It is known that, for any real m-by-n matrix A of rank n-2, there is a rational m-by-n matrix which has rank n-2 and sign pattern equal to that of A. We ...
Oct 22, 2024 · We present some results on totally k-modular and k-regular matrices, as well as give non-trivial examples of 1- and 2-regular matrices. In ...
Abstract. Let A be a real matrix. The term rank of A is the smallest number t of lines (that is, rows or columns) needed to cover all the nonzero entries of.
Let A be a real matrix. The term rank of A is the smallest number t of lines (that is, rows or columns) needed to cover all the nonzero entries of A. We ...
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Sign patterns of rational matrices with large rank. - dblp
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Bibliographic details on Sign patterns of rational matrices with large rank.