Before revision: The second family of methods approximate the extremal norm with modern optimization techniques, like ellipsoid norm approximation,Vincent D. Blondel, Yurii Nesterov and Jacques Theys, On the accuracy of the ellipsoid norm approximation of the joint spectral radius, Linear Algebra and its Applications, 394:1, pp.
After revision: The second family of methods approximate the extremal norm with modern optimization techniques, such as ellipsoid norm approximation,Vincent D. Blondel, Yurii Nesterov and Jacques Theys, On the accuracy of the ellipsoid norm approximation of the joint spectral radius, Linear Algebra and its Applications, 394:1, pp.