四元数阵重行列式与复阵行列式的关系(英文)  

Relations between double determinants of quaternion matrices and determinants of complex matrices

作　　者：陈福元 

机构地区：[1]福建省龙岩师专,龙岩364000

出　　处：《数学研究》1997年第3期241-248,共8页Journal of Mathematical Study

摘　　要：指出四元数阵重行列式可用复阵行列式来表示，于是，复阵的伴随矩阵、求逆阵公式、秩的下界等，都可相应地推广到四元数阵．This paper extends the results of the reference [1]. It shows that the double determi-nant of a quaternion matrix can be represented by a determinant of complex matrix. And in the com-plex matrices, the adjoint matrix, finding inversc formula, estimate of the rank lower bound,Hadamard's theorem and the Sehur's inequality can be generalized to the quatemion matrices

关 键 词：行列式 四元数 伴随矩阵 逆阵 下界 表示 公式 数阵 推广 

分 类 号：O151[理学—数学] G633.6[理学—基础数学]