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Criterions for the positive definiteness of real supersymmetric tensors
TLDR
In this paper, we provide some criterions for identifying the positive definiteness of an even-order real supersymmetric tensor which defines f ( x ). Expand
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An S-type eigenvalue localization set for tensors
An S-type eigenvalue localization set for a tensor is given by breaking N={1,2,...,n} into disjoint subsets S and its complement. It is shown that the new set is tighter than those provided by L. QiExpand
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Formononetin mediates neuroprotection against cerebral ischemia/reperfusion in rats via downregulation of the Bax/Bcl-2 ratio and upregulation PI3K/Akt signaling pathway
Isoflavone formononetin is a typical phytoestrogen isolated from Chinese medical herb red clover. It has been reported that estrogens have neuroprotective properties, and dietary intake ofExpand
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Double B-tensors and quasi-double B-tensors
Abstract 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 theirExpand
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New eigenvalue inclusion sets for tensors
Two new eigenvalue inclusion sets for tensors are established. It is proved that the new eigenvalue inclusion sets are tighter than that in Qi’s paper “Eigenvalues of a real supersymmetric tensor”.Expand
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MB-tensors and MB0-tensors
Abstract The class of MB - ( MB 0 -)tensors, which is a generation of B - ( B 0 -)tensors and quasi-double B - ( B 0 -)tensors, is proposed. And we prove that an even order symmetric MB - ( MB 0Expand
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An eigenvalue localization set for tensors with applications to determine the positive (semi-)definiteness of tensors
A new eigenvalue localization set for tensors is given, and proved to be tighter than those in [Qi L. Eigenvalues of a real supersymmetric tensor. J. Symbolic Comput. 2005;40:1302–1324] and [Li CQ,Expand
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Weakly chained diagonally dominant B-matrices and error bounds for linear complementarity problems
TLDR
The class of weakly chained diagonally dominant B-matrix, a subclass of P-matrices is introduced. Expand
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A new eigenvalue inclusion set for tensors and its applications
Abstract A new tensor eigenvalue inclusion set is given, and proved to be tighter than those in L.Q. Qi (2005) [18] and C.Q. Li, Y.T. Li, X. Kong (2014) [12] . In addition, we study the eigenvaluesExpand
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Note on error bounds for linear complementarity problems for B-matrices
TLDR
A new error bound for the linear complementarity problem is given when the involved matrix is a B -matrix. Expand
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