How to express I2=log(sum(inv_pos()))

1

Hello, everyone! How can I express I2 ?
Constraint: I1 - I2-r0>=C0
r0 and C0 are both real value. sk(1,N) is variable.

for i=1:N
a(i)=sum_square(y-w(:,i))
end
I1= -sum(a);

Thank you for your attention very much!

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2

Doesn’t your previous topic Log-sum-inv，is it right address this?

3

Yes, I have deduced Log-sum-inv. But it is complicated， is there a simpler expression ?

4

The two formulations I know of are provided in section 5.2.7 Log-sum-inv of https://docs.mosek.com/modeling-cookbook/expo.html#modeling-with-the-exponential-cone

5

That’s all right, thank you Mark!