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拟次Hermite矩阵方程的解
引用本文:郑建青. 拟次Hermite矩阵方程的解[J]. 工科数学, 2012, 0(5): 90-93
作者姓名:郑建青
作者单位:宁波大学理学院,浙江宁波315211
摘    要: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。

关 键 词:拟次Hermite矩阵  反拟次Hermite矩阵  共轭次转置矩阵  相似矩阵

The Solution of Quasi-sub-Hermite Matrix Equation
ZHENG Jian-qing. The Solution of Quasi-sub-Hermite Matrix Equation[J]. Journal of Mathematics For Technology, 2012, 0(5): 90-93
Authors:ZHENG Jian-qing
Affiliation:ZHENG Jian-qing (College of Science, Ningbo University, Ningbo 315211,China)
Abstract: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.
Keywords:quasi-sub-Hermite matrix  anti-quasi-sub-Hermite matrix  conjugate sub-transposed matrix  similar matrix
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