Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4639262 | Journal of Computational and Applied Mathematics | 2013 | 12 Pages |
Abstract
We study the connection between a tensor singular values and its symmetric embedding eigenvalues, and extend the result given in Ragnarsson and Van Loan (2011) [18]. The proofs of several lemmas in Ragnarsson and Van Loan (2011) [18] are simplified since the tensor–vector multiplication is adopted in our analysis. Furthermore, according to the connection, an iterative algorithm is proposed for finding the largest singular value of a nonnegative tensor, and numerical experiments are given to demonstrate viability of the iterative algorithm.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Zhen Chen, Linzhang Lu,