广义正定性的进一步推广

Generalize of Broad Sense Positive Definite Matrix

随着数学本身以及应用矩阵的其它学科的需要 ,广义正定矩阵的定义及结纶不断推广。其中较新的定义是夏长富在文献 [1]中给出的。这里对这种矩阵的正定性作了进一步推广 ,由此得出了一系列更加广泛的结果 ,同时指出了文献 [1]和文献 [3]中的错误。

Along with the demand of mathematics itself and other subjects that apply matrix, the definition and the conclusion of broad sense positive definite matrix is extended constantly. The most newest definition is given by Xia Chang-fu in reference [1].This paper generalizes the positive definite of the matrix ,and educes a series of much more extensive results thereout. At the same time, the mistakes of the reference [1] and [3] are pointed out.