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flying
Posts:
10
Registered:
4/13/12


How to figure 'matrix coupling' out?
Posted:
Apr 13, 2012 11:34 PM


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!



