4 citations · 10 across the 3 of their papers we have counts for
3 papers
math.SP2016★ 4 cited
On the largest multilinear singular values of higher-order tensors
Ignat Domanov, Alwin Stegeman, Lieven De Lathauwer
Let denote the largest mode- multilinear singular value of an tensor . We prove that $$ σ_1^2+\dots+σ_{n-1}^2+σ_{n+1}^2+\dots+σ_{N}…
math.AG2016★ 4 cited
On best rank-2 and rank-(2,2,2) approximations of order-3 tensors
Alwin Stegeman, Shmuel Friedland
It is well known that a best rank- approximation of order-3 tensors may not exist for . A best rank- approximation always exists, however, and is also a best ra…
math.AG2010★ 2 cited
The Generalized Schur Decomposition and the rank- set of real arrays
Alwin Stegeman
It is known that a best low-rank approximation to multi-way arrays or higher-order tensors may not exist. This is due to the fact that the set of multi-way arrays with rank at most…