大学数学
大學數學
대학수학
COLLEGE MATHEMATICS
2012年
5期
90-93
,共4页
拟次Hermite矩阵%反拟次Hermite矩阵%共轭次转置矩阵%相似矩阵
擬次Hermite矩陣%反擬次Hermite矩陣%共軛次轉置矩陣%相似矩陣
의차Hermite구진%반의차Hermite구진%공액차전치구진%상사구진
quasi-sub-Hermite matrix%anti-quasi-sub-Hermite matrix%conjugate sub-transposed matrix%similar matrix
A,M,x为n阶矩阵,M可逆,当A为由M确定的拟次Hermite矩阵时,讨论复数域上矩阵方程X AX=A的求解问题,给出了解的表达式,其中X=M-1XsM,为X的共轭次转置矩阵。
A,M,x為n階矩陣,M可逆,噹A為由M確定的擬次Hermite矩陣時,討論複數域上矩陣方程X AX=A的求解問題,給齣瞭解的錶達式,其中X=M-1XsM,為X的共軛次轉置矩陣。
A,M,x위n계구진,M가역,당A위유M학정적의차Hermite구진시,토론복수역상구진방정X AX=A적구해문제,급출료해적표체식,기중X=M-1XsM,위X적공액차전치구진。
A,M,X is n by n matrix, M is reversible ,When A is quasisub-Hermite matrix by M , This paper considers the solution of a matrix equation X AX =A in complex number field, and gives the general expression of the solutions, where X= M-1XsM, Xs is conjugate subtransposed matrix of X.