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次迹为零的矩阵及其性质
引用本文:刘少强.次迹为零的矩阵及其性质[J].重庆工商大学学报(自然科学版),2013,30(3):29-31.
作者姓名:刘少强
作者单位:漳州师范学院数学与信息技术系,福建漳州,363000
摘    要:给出次迹为零的矩阵的概念,从矩阵的次相似、次半正定、Kronecker与Hadamard积、矩阵函数等角度来刻画次迹为零的矩阵的一些性质,给出了这类矩阵的几个必要条件,并讨论它在矩阵分解中的应用.

关 键 词:矩阵的次迹  次迹为零的矩阵  零矩阵

Matrix with Zero Subtrace and Its Properties
LIU Shao-qiang.Matrix with Zero Subtrace and Its Properties[J].Journal of Chongqing Technology and Business University:Natural Science Edition,2013,30(3):29-31.
Authors:LIU Shao-qiang
Institution:LIU Shao-qiang (Department of Mathematics and Information Technology,Zhangzhou Normal University, Fujian Zhangzhou 363000,China)
Abstract:In this paper,the concept of a matrix with zero subtrace is given, the properties of the matrix with zero subtrace are described in terms of the sub-simility of matrix,positive sub-semidefinite matrix,Kronecker pruduct, Hadamard pruduct, function of matrix,etc and several necessary conditions for this class of matrix are put forward .Some applications in the matrix factorization of these matrices are discussed.
Keywords:subtrace of a matrix  matrix with zero subtrace  zero matrix
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