The Metapositive Definite Self－Conjugate Solution of the Matrix Equation AXB＝C over a Skew Field

Let F be the strong p-division ring [4]. This paper is sequel to [1]. Metapositive definite self-conjugate matrix over F is defined and the necessary and sufficient conditions for determining whether a partitioned matrix over F is metapositive definite self-conjugate are given.Moreover,a decomposition of pairwise matrices over F with the same numbers of columns is also presented. Whence some necessary and sufficient conditions for the existence of and the explicit expression for the metapositive definite self-conjugate solution of the matrix equation AXB=C over F are derived.

加强P除环上矩阵方程AXB=C的次亚正定解

本文在加强P除环Ω上引入了次亚正定矩阵的概念 ,给出了Ω上的矩阵方程AXB =C有次亚正定解的充要条件及解的一般表达式。

加强P除环上矩阵的亚正定

在加强P除环上引入了亚正定矩阵的概念 ,讨论了分块矩阵 ,Kronecker积与Hadamard积的亚正定。

加强P除环上自共轭矩阵的几个定理

证明了如果Ｏ是加强Ｐ－除环，则为实封闭域．利用该结果还讨论了加强Ｐ一除环上自共轭矩阵的正定性．

奥运英语小贴士

你知道吗?奥运会(Olympic Games)的标志(Olym-pic symbol)是五个相连的圆环(interlocking rings),它代表着五大洲的团结和全世界运动员在奥运会上相聚一堂。国际奥委会(International Olympic Committee)的官方语言是法语(French)和英语(English)。