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Topic: How to figure 'matrix coupling' out?
Replies: 3   Last Post: Apr 14, 2012 2:41 PM

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flying

Posts: 10
Registered: 4/13/12
How to figure 'matrix coupling' out?
Posted: Apr 13, 2012 11:34 PM
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Hi,everyone!I have a question for you.
I have two 4x4 complex matrices.

Ar = 1.2485 + 0.1236i 0.0320 - 0.1570i 0.0245 + 0.0153i 0.0184 - 0.0097i
-0.0041 - 0.1868i 0.8390 + 0.5215i 0.1207 + 0.0593i -0.0008 + 0.1226i
-0.0604 - 0.0353i 0.0097 - 0.1781i 0.1500 + 0.9788i 0.0425 - 0.0036i
0.0172 - 0.0026i -0.0864 + 0.0996i -0.0423 - 0.0094i 0.9084 + 0.3718i

Ac = 0.8987 + 0.6650i 0.0302 - 0.0282i -0.0035 + 0.0219i -0.0146 - 0.0581i
0.0328 - 0.0334i 0.7194 + 0.6143i 0.1217 + 0.1499i -0.0790 + 0.1035i
-0.0215 - 0.0325i 0.1310 - 0.2428i -0.4942 + 0.8434i -0.0291 + 0.0318i
0.0256 - 0.0727i -0.1420 + 0.0203i 0.0053 + 0.0046i 0.6475 + 0.7799i

I want to reorder their eigenvalues.First,i do eigenvalue decomposition of
matrix 'Ar'signing as 'lambdaAr'.It is a vector.

lambdaAr = [1.2190 + 0.0767i 0.9510 + 0.3090i 0.8505 + 0.6179i 0.1253 + 0.9921i];
lambdaAc = [-0.5358 + 0.8443i 0.5878 + 0.8090i 0.8941 + 0.6496i 0.8254 + 0.5997i];

My question is that i want to reorder matrix Ac's eigenvalues 'lambdaAc' corresponding to the order of 'lambdaAr'.
Maybe it is a question of 'matrix coupling'.
How can i do?Please do me a favor everybody.Thank you very much!



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