arrow
Volume 2, Issue 4
Preservation of Linear Constraints in Approximation of Tensors

Eugene Tyrtyshnikov

Numer. Math. Theor. Meth. Appl., 2 (2009), pp. 421-426.

Published online: 2009-02

Export citation
  • 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.

  • AMS Subject Headings

15A12, 65F10, 65F15

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{NMTMA-2-421, author = {Eugene Tyrtyshnikov}, 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 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 -

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. (2009). Preservation of Linear Constraints in Approximation of Tensors. Numerical Mathematics: Theory, Methods and Applications. 2 (4). 421-426. doi:10.4208/nmtma.2009.m9004s
Copy to clipboard
The citation has been copied to your clipboard