复矩阵正定性的进一步拓广

A FURTHER GENERALIZATION OF POSITIVE DEFINITE COMPLEX MATRICES

实对称矩阵的正定性的研究已取得丰富的成果,并为众多学科所应用。随着应用问题的研究对实矩阵的正定性已有种种推广[1][2][4]。特别[2]对复正定 Hemite 阵作了推广。本文对复矩阵的正定性概念予以进一步拓广,建立了若干有趣的结果。

It is well known that the concept of positive definite matrices was ex-tended in[1,2,4].In this paper we give a further generalization of po-sitive definite complex matrices and obtain some interesting results.