15 citations · 63 across the 17 of their papers we have counts for
5 papers · 1 filter
Ranks of linear matrix pencils separate simultaneous similarity orbits
Harm Derksen, Igor Klep, Visu Makam +1
This paper solves the two-sided version and provides a counterexample to the general version of the 2003 conjecture by Hadwin and Larson. Consider evaluations of linear matrix penc…
The regularity lemma is false over small fields
Harm Derksen, Visu Makam
The regularity lemma is a stringent condition of the possible ranks of tensor blow-ups of linear subspaces of matrices. It was proved by Ivanyos, Qiao and Subrahmanyam when the und…
Algorithms for orbit closure separation for invariants and semi-invariants of matrices
Harm Derksen, Visu Makam
We consider two group actions on -tuples of matrices. The first is simultaneous conjugation by and the second is the left-right action of $\op…
Explicit tensors of border rank at least in in arbitrary characteristic
Harm Derksen, Visu Makam
For tensors in , Landsberg provides non-trivial equations for tensors of border rank for even and for …
On non-commutative rank and tensor rank
Harm Derksen, Visu Makam
We study the relationship between the commutative and the non-commutative rank of a linear matrix. We give examples that show that the ratio of the two ranks comes arbitrarily clos…