p-Norm B-Tensors and p-Norm $$B_0$$-Tensors

Autor:	Qingshui Liao, Qilong Liu
Rok vydání:	2019
Předmět:	Pure mathematics 010102 general mathematics Order (group theory) Pharmacology (medical) 010103 numerical & computational mathematics Tensor 0101 mathematics 01 natural sciences Diagonally dominant matrix Mathematics
Zdroj:	Bulletin of the Iranian Mathematical Society. 46:1421-1435
ISSN:	1735-8515 1017-060X
Popis:	We propose two new classes of tensors: p-norm B-tensors and p-norm $$B_0$$ -tensors, and discuss their relationships with P( $$P_0$$ )-tensors and MB ( $$MB_0$$ )-tensors. We prove that a real symmetric p-norm B( $$B_0$$ )-tensor can always be decomposed into the sum of a p-norm strictly diagonally dominant (p-norm diagonally dominant) Z-tensor and several positive multiples of partially all one tensors. Specially, when the order of the tensor is even, we obtain that the corresponding real symmetric p-norm B( $$B_0$$ )-tensor is positive (semi-)definite. This gives a checkable sufficient condition for the positive (semi-)definite tensors.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7156a5567c5e08c2b74ec75d7195d57b https://doi.org/10.1007/s41980-019-00333-0 Zobrazit plný text záznamu Full text from SpringerLink