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

作　　者：王卿文 

出　　处：《Chinese Quarterly Journal of Mathematics》1995年第3期42-51,共10页数学季刊（英文版）

摘　　要：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.

关 键 词：the strong p-division ring matrix equation metapositive definite self-coniugate matrix 

分 类 号：O151.21[理学—数学]