准次正定矩阵  

The almost positive subdefinite matrix

作　　者：袁晖坪[1] 

机构地区：[1]渝州大学数学系,重庆400033

出　　处：《纯粹数学与应用数学》2001年第1期14-17,22,共5页Pure and Applied Mathematics

基　　金：重庆市教委科学基金资助项目!(19980 10 2)

摘　　要：提出了准次正定矩阵的概念 ,研究了它及其 Hadamard积与 Kronecker积的基本性质 ,将对称正定阵的 Schur定理、华罗庚定理、Openheim不等式拓广到了准次正定阵上 。The concept of almost positive subdefinite matrix is given, the basic property that it and its Hadamard product and Kronecker product has been discussed.The symmetric positive definite matrix of Schurs theorem , Hua Luogeng's theorem and Openheims inequality are extended to almost positive subdefinite matrix, and various kind positive subdefinite matrix to have unified.

关 键 词：准次正定矩阵 次亚正定矩阵 次对称次正定矩阵 HADAMARD积 KRONECKER积 

分 类 号：O151.21[理学—数学]