4.5 Article

On eigenvalue problems of real symmetric tensors

Journal

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 350, Issue 1, Pages 416-422

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2008.09.067

Keywords

Numerical multilinear algebra; Higher order tensor

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We use variational methods to give a positive answer to a conjecture posed by Liqun Qi [L Qi, Eigenvalues of a real supersymmetric tensor, J. Symbolic Comput. 40 (2005) 1302-1324] regarding the real eigenvalues of certain higher order tensors. (C) 2008 Elsevier Inc. All rights reserved.

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