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Affiliation of Author(s):理学院

Journal:FRONTIERS OF MATHEMATICS IN CHINA

Key Words:Symmetric tensor symmetric rank decomposition generating polynomial catalectieant matrix

Abstract:An algorithm is presented for decomposing a symmetric tensor into a sum of rank-1 symmetric tensors. For a given tensor, by using apolarity, catalecticant matrices and the condition that the mapping matrices are commutative, the rank of the tensor can be obtained by iteration. Then we can find the generating polynomials under a selected basis set. The decomposition can be constructed by the solutions of generating polynomials under the condition that the solutions are all distinct which can be guaranteed by the commutative property of the matrices. Numerical examples demonstrate the efficiency and accuracy of the proposed method.

ISSN No.:1673-3452

Translation or Not:no

Date of Publication:2017-12-01

Co-author:nq,Zhu, Wenhuan

Correspondence Author:wj