Log-sum-inv,is it right

Uncategorized
Mar 14, 2022
S

I have a constraint which includes three variables

I had a try to rewrite the constraint in two steps.
It is my first to rewrite the constraint in equivalent form,I want to know is it right ?
Thank you !

2.

J
M

And you need to throw a log(2) in there somewhere to account for log2 vs. log.

S
Replying to #3

Thank you .Yes,I will add log(2) in somewhere.

C
Replying to #4

but in your third constraint, xi and zi are all variable
how to express in cvx?

M
Replying to #5

You need to declare additional CVX variables. See for instance my code snippet in Log( {convex} ) This can be extended to the case, as shown in the Mosek Modeling Cookbook, in which there are multiple inverse terms, by using vector variables.

S
Replying to #5

xi is expressed in the first paper,x0, x1 ,x2,…,xu.
zi is an auxiliary variable.