3 papers
math.RA2022
The equation with skew-symmetric: How much of a bilinear form is skew-symmetric?
Alberto Borobia, Roberto Canogar, Fernando De Terán
Given a bilinear form on , represented by a matrix , the problem of finding the largest dimension of a subspace of such that t…
math.SP2020
Companion unit lower Hessenberg matrices
Alberto Borobia, Roberto Canogar
In recent years there has been a growing interest in companion matrices. There is a deep knowledge of sparse companion matrices, in particular it is known that every sparse compani…
math.CO2018
The WST-decomposition for partial matrices
Alberto Borobia, Roberto Canogar
A partial matrix over a field is a matrix whose entries are either an element of or an indeterminate and with each indeterminate only appearing once. A co…