A tensor bidiagonalization method for higher‐order singular value decomposition with applications
A. El Hachimi,
K. Jbilou,
A. Ratnani
et al.
Abstract:The need to know a few singular triplets associated with the largest singular values of a third‐order tensor arises in data compression and extraction. This paper describes a new method for their computation using the t‐product. Methods for determining a couple of singular triplets associated with the smallest singular values also are presented. The proposed methods generalize available restarted Lanczos bidiagonalization methods for computing a few of the largest or smallest singular triplets of a matrix. The… Show more
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