摘要
本文讨论了实矩阵方程X^△AX=A（A为非退化实双对称矩阵，X^△为X的双转置矩阵）的非退化解问题，并给出一般解的形式；同时讨论了实矩阵方程石XAX=A的双对称解问题，并给出了一般解的形式．
In this paper, the inversable matrix solution of a kind of real matrix equation X^△AX = A is considered, where A is a inversable bisymmetric matrix, X^△ is bisymmetric transposed matrix of X, and their general solution forms are derived; the bisymmetric solution of a kind of real matrix equation XAX=A is considered, and their general solution forms are derived too.
出处
《衡水学院学报》
2008年第4期12-13,66,共3页
Journal of Hengshui University
基金
山东省教育厅资助项目(C05104)
枣庄学院科技计划资助项目(200615)
关键词
双对称矩阵
斜双对称矩阵
双转置矩阵
bisymmetric matrix
skew bisymmetric matrix
bisy-transposed matrix.
