1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.AG2021
The phase rank of a matrix
António Pedro Goucha, João Gouveia
In this paper, we introduce and study the notion of phase rank. Given a matrix filled with phases, i.e., with complex entries of modulus , its phase rank is the smallest possibl…
math.AG2019
The phaseless rank of a matrix
António Pedro Goucha, João Gouveia
We consider the problem of finding the smallest rank of a complex matrix whose absolute values of the entries are given. We call this minimum the phaseless rank of the matrix of th…
math.CO2016★ 1 cited
On ranks of regular polygons
António Pedro Goucha, João Gouveia, Pedro M. Silva
In this paper we study various versions of extension complexity for polygons through the study of factorization ranks of their slack matrices. In particular, we develop a new asymp…