https://nova.newcastle.edu.au/vital/access/ /manager/Index ${session.getAttribute("locale")} 5 A novel representation of rank constraints for real matrices https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:23909 0 pseudo-norm, which is used in sparse representation problems. Finally, we describe how our representation can be included in rank-constrained optimization and in rank-minimization problems.]]> Wed 04 Sep 2019 10:12:16 AEST ]]> The maximum dimension of a subspace of nilpotent matrices of index 2 https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:7996 n and suppose that r is the maximum rank of any matrix in V. The object of this paper is to give an elementary proof of the fact that dim V ≤ r(n − r). We show that the inequality is sharp and construct all such subspaces of maximum dimension. We use the result to find the maximum dimension of spaces of anti-commuting matrices and zero subalgebras of special Jordan Algebras.]]> Sat 24 Mar 2018 08:42:37 AEDT ]]> Multipartite Moore digraphs https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:9999 1 and diameter k = 2m are obtained. In the case δ = 1, which corresponds to almost Moore digraphs, a necessary condition in terms of the permutation cycle structure is derived. Additionally, we present some constructions of dense multipartite digraphs of diameter two that are vertex-transitive.]]> Sat 24 Mar 2018 08:12:15 AEDT ]]> On the dimension of linear spaces of nilpotent matrices https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:25721 Sat 24 Mar 2018 07:33:30 AEDT ]]> Note on best possible bounds for determinants of matrices close to the identity matrix https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:26948 Sat 24 Mar 2018 07:27:02 AEDT ]]>