Second order cone program

[Mostafa Nick]

I have a set of quadratic constraints as below:

for i=1:timestep

x(i)^2+x((12i+1)^2-x(2i)x((i-1)2+1)<=0

end

 I have written it as follows but I am not sure if the the YALMIP will recognise it as a SOC constraint or not.

for i=1:timestep

Constraints=[Constraints, norm([2x(i);2x((i)*12+1);x(2i)-x((i-1)2+1)])-x(2i)-x((i-1)2+1)<=0

end

Thank you in advance

[Johan Löfberg]

YALMIP automatically writes norm constraints as SOCPs if possible.

Note that you implicitly constrain x(2i) and x((i-1)2+1) to be positive when you do the formulation with norms and SOCPs.