TY - JOUR
T1 - Preservation of Linear Constraints in Approximation of Tensors
AU - Eugene Tyrtyshnikov
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 4
SP - 421
EP - 426
PY - 2009
DA - 2009/02
SN - 2
DO - http://doi.org/10.4208/nmtma.2009.m9004s
UR - https://global-sci.org/intro/article_detail/nmtma/6032.html
KW - Multi-index arrays, tensors, linear constraints, low rank approximation, canonical
tensor decomposition, multilevel matrices.
AB - <p style="text-align: justify;">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.</p>