MB-tensors and MB0-tensors

2014/11/24 by Li, Chaoqian, Li, Yaotang
#34B10 #47A52 #47H12 #47H15 #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1411.6316

Abstract

The class of MB(MB0)-tensors, which is a generation of B(B0)-tensors and quasi-double B(B0)-tensors, is proposed. And we prove that an even order symmetric MB(MB0)-tensor is positive (semi-)definite. This provides a positive answer for the conjecture in Li and Li's paper [15] that an even order symmetric quasi-double B0-tensor is positive semi-definite.

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