Canonical Polyadic Decomposition with a Columnwise Orthonormal Factor Matrix

Sørensen, Mikael; De Lathauwer, Lieven; Comon, Pierre; Icart, Sylvie; Deneire, Luc

doi:10.1137/110830034

Public

Canonical Polyadic Decomposition with a Columnwise Orthonormal Factor Matrix

Published in SIAM Journal on Matrix Analysis and Applications • Jan 1, 2012

Authors:

Mikael Sørensen

Lieven De Lathauwer

Pierre Comon

Abstract

Canonical polyadic decomposition (CPD) of a higher-order tensor is an important tool in mathematical engineering. In many applications at least one of the matrix factors is constrained to be columnwise orthonormal. We first derive a relaxed condition that guarantees uniqueness of the CPD under this ...

Subject

Orthonormal basis

Orthogonality

Mathematics

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