A tensor singular values and its symmetric embedding eigenvalues

• Autores: Zhen Chen, Linzhang Lu
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 250, Nº 1, 2013, págs. 217-228
• Idioma: inglés
• DOI: 10.1016/j.cam.2013.03.014
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• Resumen

  • 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.