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Optimization problem - KKT condition

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eng_basem

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I have a paper that contains an optimization problem:
Linear objective function in three variables (pa, pb, pr) + non-linear Inequality constraints.

The Author uses the KKT conditions : 8 non-linear equalities + 5 inequalities (equations 14 in the attached file)

he said that to get the solution , he solved these 13 equation together and he provide the results (closed form solution not a numerical solution)
Kindly i need to understand how this could be done .
I treied using symbolic toolbox of Matlab, and Derive 6.0 Mathematical tool, and Mapple but i couldn't.
Can anyone help me?
 

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  • 2012- MINIMIZING POWER SUM IN TWO-WAY AMPLIFY-AND-FORWARD RELAY CHANNEL .pdf
    111.4 KB · Views: 93

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