AbstractA sign pattern is said to be nilpotent of index k if all real matrices in its qualitative class are nilpotent and their maximum nilpotent index equals k. In this paper, we characterize sign patterns that are nilpotent of a given index k. The maximum number of nonzero entries in such sign patterns of a given order is determined as well as the sign patterns with this maximum number of nonzero entries
summary:A matrix $\Cal A$ whose entries come from the set $\{+,-,0\}$ is called a {\it sign pattern ...
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...
AbstractSuppose P is a property referring to a real matrix. We say that a sign pattern A allows P if...
AbstractA sign pattern is said to be nilpotent of index k if all real matrices in its qualitative cl...
AbstractA sign pattern is said to be potentially nilpotent if it allows nilpotence. In this paper, a...
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 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...
AbstractA nonzero pattern is a matrix with entries in {0,∗}. A pattern is potentially nilpotent if t...
AbstractA sign pattern matrix is a matrix whose entries are from the set {+,-,0}. For a real matrix ...
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}. For a real matrix B, sgn(...
AbstractAn n×n sign pattern Sn is potentially nilpotent if there is a real matrix having sign patter...
summary:A matrix $\Cal A$ whose entries come from the set $\{+,-,0\}$ is called a {\it sign pattern ...
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...
AbstractSuppose P is a property referring to a real matrix. We say that a sign pattern A allows P if...
AbstractA sign pattern is said to be nilpotent of index k if all real matrices in its qualitative cl...
AbstractA sign pattern is said to be potentially nilpotent if it allows nilpotence. In this paper, a...
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 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...
AbstractA nonzero pattern is a matrix with entries in {0,∗}. A pattern is potentially nilpotent if t...
AbstractA sign pattern matrix is a matrix whose entries are from the set {+,-,0}. For a real matrix ...
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}. For a real matrix B, sgn(...
AbstractAn n×n sign pattern Sn is potentially nilpotent if there is a real matrix having sign patter...
summary:A matrix $\Cal A$ whose entries come from the set $\{+,-,0\}$ is called a {\it sign pattern ...
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...
DOI
Add to ORKG