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Preservation of Linear Constraints in Approximation of Tensors |
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| Authors: | Eugene Tyrtyshnikov |
| Institution: | Institute of Numerical Mathematics of Russian Academy of Sciences, Gubkin Street, 8, Moscow 119333, Russia |
| 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. |
| Keywords: | Multi-index arrays tensors linear constraints low rank approximation canonical tensor decomposition multilevel matrices |
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