On the metapositive definiteness of the left semi-tensor product of complex matrices

被引：0

作者：

Wang, Huimin ^{[1
]}

Si, Chenghai ^{[1
]}

Lei, Niu ^{[1
]}

机构：

[1] Liaocheng Univ, Sch Math Sci, Liaocheng 252059, Shandong, Peoples R China

来源：

PROCEEDINGS OF THE THIRD INTERNATIONAL WORKSHOP ON MATRIX ANALYSIS AND APPPLICATIONS, VOL 1 | 2009年

关键词：

Matrix; Semi-tensor product; Kronecker product; Eigenvalues;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The metapositive definiteness of the left semi-tensor product of two complex matrices is researched, series of necessary and sufficient conditions that the left semi-tensor product of two complex matrices is a metapositive definite matrix are given. At the same time, some correlative results are obtained, which enrich the theory of the semi-tensor product of matrices.

引用

页码：290 / 293

页数：4