40 citations · 460 across the 64 of their papers we have counts for
4 papers · 2 filters
Spaces of Sums of Powers and Real Rank Boundaries
Mateusz Michałek, Hyunsuk Moon
We investigate properties of Waring decompositions of real homogeneous forms. We study the moduli of real decompositions, so-called Space of Sums of Powers, naturally included in t…
Flexible affine cones and flexible coverings
Matheusz Michałek, Alexander Perepechko, Hendrik Süß
We provide a new criterion for flexibility of cones over varieties covered by flexible affine varieties. We apply this criterion to prove flexibility of affine cones over secant va…
On the geometry of border rank algorithms for matrix multiplication and other tensors with symmetry
J. M. Landsberg, Mateusz Michałek
We establish basic information about border rank algorithms for the matrix multiplication tensor and other tensors with symmetry. We prove that border rank algorithms for tensors w…
Real Rank Geometry of Ternary Forms
Mateusz Michałek, Hyunsuk Moon, Bernd Sturmfels +1
We study real ternary forms whose real rank equals the generic complex rank, and we characterize the semialgebraic set of sums of powers representations with that rank. Complete re…