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,

1 Like

Have you proven this is convex?

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.