Preservation of Linear Constraints in Approximation of Tensors
Numer. Math. Theor. Meth. Appl., 2 (2009), pp. 421-426.
Published online: 2009-02
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@Article{NMTMA-2-421,
author = {},
title = {Preservation of Linear Constraints in Approximation of Tensors},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2009},
volume = {2},
number = {4},
pages = {421--426},
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.
}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2009.m9004s}, url = {http://global-sci.org/intro/article_detail/nmtma/6032.html} }
TY - JOUR
T1 - Preservation of Linear Constraints in Approximation of Tensors
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 -
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.
Eugene Tyrtyshnikov. (2020). Preservation of Linear Constraints in Approximation of Tensors.
Numerical Mathematics: Theory, Methods and Applications. 2 (4).
421-426.
doi:10.4208/nmtma.2009.m9004s
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