矩阵方程AoA^(-T)=(1/2)J_2的实数解的应用

Applications of the Real Solutions of Matrix Equation AoA^(-T)=(1/2)J_2

相对增益阵列(RGA)大多数应用的矩阵阶数都是较小的(n=2,3或4).我们从矩阵方程Φ(A)=21J2的实数解出发,应用矩阵方程Φ(A)=1nJn的实数解在G-等价下的不变性和实数解的分块构造法,研究了Φ(A)=41J4的实数解的一些问题.

In most applications of relative gain array orders of the involved matrices are relatively small （n = 2,3 or 4）. In this paper, making use of the invariance of the real solutions of matrix equation φ（A）= 1/nJ. n under G-equivalent and the block constructive method, we discuss some problems of the real solutions of matrix equationφ（A）=1/4J4 from the real solutions of matrix equation φ（A）=1/2J2.