Elena Rubei

activity

19982025

most citedAffine subspace of matrices with constant rank

6 citations · 30 across the 24 of their papers we have counts for

collaborators

31 papers

math.RA2025

On the dimension of affine subspaces of nilpotent matrices

Simone Calamai, Elena Rubei

The focus of the paper is on the maximal dimension of affine subspaces of nilpotent n x n matrices with fixed rank. In particular we obtain a result in the "border" case rank equal…

math.RA2024

Affine subspaces of matrices with rank in a range

Elena Rubei

The problem of finding the maximal dimension of linear or affine subspaces of matrices whose rank is constant, or bounded below, or bounded above, has attracted many mathematicians…

math.RA2023

Maximal dimension of affine subspaces of specific matrices

Elena Rubei

For every $n \in N$ and every field $K$ , let $N (n, K)$ be the set of the nilpotent $n \times n$ matrices over $K$ and let $D (n, K)$ be the set of the $n \times n$ matrices…

math.RA2022★ 1 cited

Affine subspaces of antisymmetric matrices with constant rank

Elena Rubei

For every $n \in N$ and every field $K$ , let $A (n, K)$ be the vector space of the antisymmetric $(n \times n)$ -matrices over $K$ . We say that an affine subspace $S$ of $A(n…

math.RA2021★ 6 cited

Affine subspace of matrices with constant rank

Elena Rubei

For every $m, n \in N$ and every field $K$ , let $M (m \times n, K)$ be the vector space of the $(m \times n)$ -matrices over $K$ and let $S (n, K)$ be the vector space of the s…

math.RA2019

Interval matrices: realization of ranks by rational matrices

Elena Rubei

Let $α$ be a $p \times q$ interval matrix with $p \geq q$ and with the endpoints of all its entries in the set of the rational numbers. We prove that, if $α$ contains a rank- $r$ re…