i am doing the Project in cognitive radio in my M.E. course in cognitive radio. I want to use the convex optimization in my mathematical formulation which is below.
convex(Ps,Pn)=(∑n=iN(Rth÷GsPs))+(Rth÷GsPs)+μ1(Ps+∑n=1NPs+Pt)+λ1(Psh1−Ty)+λ2(∑n=1NPsh2−Tx)
Rth, Gs,Gn,Tx.Ty ,Pt are constant ,h1 and h2 are not constant , they are the channel gain. Ps,Pn are the source and relay power of cognitive radio . how i can find Optimum value of souce(Ps) and Relay (Pn) node of cognitive radio using kkt condition? please help me.

Question

i am doing the Project in cognitive radio in my M.E. course in cognitive radio. I want to use the convex optimization in  my mathematical formulation which is below.
convex(Ps,Pn)=(∑n=iN(Rth÷GsPs))+(Rth÷GsPs)+μ1(Ps+∑n=1NPs+Pt)+λ1(Psh1−Ty)+λ2(∑n=1NPsh2−Tx)
Rth, Gs,Gn,Tx.Ty ,Pt are constant ,h1 and h2 are not constant , they are the channel gain. Ps,Pn are the source and relay power of cognitive radio .  how i can find Optimum value of souce(Ps) and Relay (Pn) node of cognitive radio using kkt condition? please help me.