摘要
本文应用半正定（未必是Ｈｅｒｍｉｔｅ）复方阵在合同下的标准形给出两个半正定（未必是Ｈｅｒｍｉｔｅ）复方阵的Ｋｒｏｎｅｃｋｅｒ乘积为半正定的充要条件
An n×n (not necessarily Hermitian) complex matrix A is positive semidefinite if Re(zAz *)≥0 for each n dimensional complex row vector z . In this paper, we give a necessary and sufficient condition for the Kronecker product of two positive semidefinite complex matrices to be positive semidefinite.
关键词
半正定复方阵
合同
标准形
KRONECKER乘积
positive semidefinite complex matrix, canonical form under congruence, Kronecker product.
