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title:
Hierarchical and Black-Box Approximation of Tensors |
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name:
Grasedyck |
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first name:
Lars
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location/conference:
SPP-JT09
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WWW-link:
http://personal-homepages.mis.mpg.de/lgr |
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PREPRINT-link:
http://www.dfg-spp1324.de/download/preprints/preprint020.pdf |
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PRESENTATION-link:
http://dfg-spp1324.de/download/jt09/talks/grasedyck.pdf |
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abstract:
The talk covers the advances in black-box tensor approximation as well as the new reliable tensor representation and arithmetics in the hierarchical rank model. The results for the black-box approximation of tensors are in the classical tensor rank model where a priori estimates of truncation errors are missing. In the new hierarchical model we present a priori
error bounds in terms of the best approximation. The hierarchical rank k model contains all tensors of rank k (even border rank k) and is thus a much richer class. |
