hello CVXers

is there a way to calculate spectral radius of an asymmetric matrix using cvx?

Any help is appreciated,

hello CVXers

is there a way to calculate spectral radius of an asymmetric matrix using cvx?

Any help is appreciated,

there are papers discussing Convexity and Log Convexity of the spectral radius for different cases.

Did you carefully read the link I provided? You will have to be more specific than that.

yes, i have read the link.

To be more specific , suppose

spectral radius: *p=| a+ib |*

in my cvx code i have calculated *p^2 & a^2* as scalar variables.

**Question:** how to add a constraint for a asymmetric matrix variable to have a spactral radius of mgnitude *p* and of magnitude *a* for its real part

Regards,

That looks non-convex to me. Even if the spectral radius were convex, using it in an equality constraint would be non-convex.