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SIAM J. on Matrix Analysis and Applications / Volume 33 / Issue 1

SIAM. J. Matrix Anal. & Appl. 33, pp. 149-169 (21 pages)

Block Tensor Unfoldings

Stefan Ragnarsson and Charles F. Van Loan

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Within the field of numerical multilinear algebra, block tensors are increasingly important. Accordingly, it is appropriate to develop an infrastructure that supports reasoning about block tensor computation. In this paper we establish concise notation that is suitable for the analysis and development of block tensor algorithms, prove several useful block tensor identities, and make precise the notion of a block tensor unfolding.

© 2012 Society for Industrial and Applied Mathematics

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KEYWORDS

AMS Subject Headings

15A69

PUBLICATION DATA

ISSN

0895-4798 (print)  
1095-7162 (online)

Publisher

$abstract.society.value is a Member of CrossRef Society for Industrial and Applied Mathematics

ARTICLE DATA

History
Received January 10, 2011
Accepted October 28, 2011
Published online January 13, 2012
Digital Object Identifier
http://dx.doi.org/10.1137/110820609

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