2014/08/11 by Chaoqian Li, Li, Chaoqian, Yaotang Li +1
Engineering · Mathematics · Medicine · #15A48 #34B10 #47A52 #47H07 #47H09 #47H12 #47H15 #47J10 #Advanced Neuroimaging Techniques and Applications #FOS: Mathematics #Rings and Algebras (math.RA) #Sparse and Compressive Sensing Techniques #Tensor decomposition and applications
paper · pdf · doi:10.48550/arxiv.1408.2299
openalex publication_date 2014/08/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we propose two new classes of tensors: double B-tensors and quasi-double B-tensors, give some properties of double B-tensors and quasi-double B-tensors, discuss their relationships with B-tensors and positive definite tensors and show that even order symmetric double B-tensors and even order symmetric quasi-double B-tensors are positive definite. These give some checkable sufficient conditions for positive definiteness of tensors.