AbstractSuppose P is a property referring to a real matrix. We say that a sign pattern A allows P if there exists at least one matrix with the same sign pattern as A that has the property P. In this paper, we study sign patterns allowing nilpotence of index 3. Four methods for constructing sign patterns that allow nilpotence of index 3 are obtained. All tree sign patterns that allow nilpotence of index 3 are characterized. Sign patterns of order 3 that allow nilpotence are identified
AbstractAn n×n sign pattern Sn is potentially nilpotent if there is a real matrix having sign patter...
A sign pattern is a matrix whose entries belong to the set {+,−, 0}. An n-by-n sign pattern A is sai...
AbstractA sign pattern matrix is a matrix whose entries are from the set {+,-,0}. For a real matrix ...
AbstractA sign pattern is said to be potentially nilpotent if it allows nilpotence. In this paper, a...
AbstractA sign pattern is said to be nilpotent of index k if all real matrices in its qualitative cl...
In this paper, the smallest such integer k is called by the index (of nilpotence) of B such that Bk ...
AbstractA sign pattern is said to be potentially nilpotent if it allows nilpotence. In this paper, a...
A sign pattern (matrix) is a matrix whose entries are from the set {+,−, 0}. A sign pattern matrix A...
A sign pattern is a matrix with entries in {+,-, 0}. A full sign pattern has no zero entries. The re...
A sign pattern is a matrix with entries in {+,-, 0}. A full sign pattern has no zero entries. The re...
AbstractAn n×n sign pattern matrix has entries in {+,-,0}. This paper surveys the following problems...
A sign pattern (matrix) is a matrix whose entries are from the set {+,–, 0}. A sign pattern matrix A...
Abstract. A sign pattern matrix (or a sign pattern, or a pattern) is a matrix whose entries are from...
A sign pattern is a matrix with entries in {+,-, 0}. A full sign pattern has no zero entries. The re...
A sign pattern is a matrix with entries in {+,-, 0}. A full sign pattern has no zero entries. The re...
AbstractAn n×n sign pattern Sn is potentially nilpotent if there is a real matrix having sign patter...
A sign pattern is a matrix whose entries belong to the set {+,−, 0}. An n-by-n sign pattern A is sai...
AbstractA sign pattern matrix is a matrix whose entries are from the set {+,-,0}. For a real matrix ...
AbstractA sign pattern is said to be potentially nilpotent if it allows nilpotence. In this paper, a...
AbstractA sign pattern is said to be nilpotent of index k if all real matrices in its qualitative cl...
In this paper, the smallest such integer k is called by the index (of nilpotence) of B such that Bk ...
AbstractA sign pattern is said to be potentially nilpotent if it allows nilpotence. In this paper, a...
A sign pattern (matrix) is a matrix whose entries are from the set {+,−, 0}. A sign pattern matrix A...
A sign pattern is a matrix with entries in {+,-, 0}. A full sign pattern has no zero entries. The re...
A sign pattern is a matrix with entries in {+,-, 0}. A full sign pattern has no zero entries. The re...
AbstractAn n×n sign pattern matrix has entries in {+,-,0}. This paper surveys the following problems...
A sign pattern (matrix) is a matrix whose entries are from the set {+,–, 0}. A sign pattern matrix A...
Abstract. A sign pattern matrix (or a sign pattern, or a pattern) is a matrix whose entries are from...
A sign pattern is a matrix with entries in {+,-, 0}. A full sign pattern has no zero entries. The re...
A sign pattern is a matrix with entries in {+,-, 0}. A full sign pattern has no zero entries. The re...
AbstractAn n×n sign pattern Sn is potentially nilpotent if there is a real matrix having sign patter...
A sign pattern is a matrix whose entries belong to the set {+,−, 0}. An n-by-n sign pattern A is sai...
AbstractA sign pattern matrix is a matrix whose entries are from the set {+,-,0}. For a real matrix ...
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