Preservation of Linear Constraints in Approximation of Tensors
DOI:
https://doi.org/10.4208/nmtma.2009.m9004sKeywords:
Multi-index arrays, tensors, linear constraints, low rank approximation, canonical tensor decomposition, multilevel matrices.Abstract
For an arbitrary tensor (multi-index array) with linear constraints at each direction, it is proved that the factors of any minimal canonical tensor approximation to this tensor satisfy the same linear constraints for the corresponding directions.