Explores geodesic convexity and its extension to optimization on manifolds, emphasizing the preservation of the key fact that local minima imply global minima.
Explores Sum of Squares polynomials and Semidefinite Programming in Polynomial Optimization, enabling the approximation of non-convex polynomials with convex SDP.
Explores design solution definition, multidisciplinary optimization, and challenges in system design optimization, including the roots and motivation behind Multidisciplinary Design Optimization.
