Wedderburn rank reduction and Krylov subspace method for tensor approximation. I: Tucker case (Q2882777)
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scientific article; zbMATH DE number 6031486
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Wedderburn rank reduction and Krylov subspace method for tensor approximation. I: Tucker case |
scientific article; zbMATH DE number 6031486 |
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7 May 2012
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multidimensional arrays
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sparse tensors
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structured tensors
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Tucker approximation
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Krylov subspace methods
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Wedderburn rank reduction
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fast compression
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numerical examples
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Wedderburn rank reduction and Krylov subspace method for tensor approximation. I: Tucker case (English)
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The authors propose new algorithms for the Tucker approximation of a 3-tensor accessed only through a tensor-by-vector-by-vector multiplication subroutine. They introduce a matrix aproximation algorithm that computes the Krylov subspaces using the Wedderburn rank reduction formula. Numerical examples are also performed to show the quality of the proposed algorithms.
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