Hamiltonian and Gradient Flows, Algorithms and Control

Abstract

Resonant geometric phases for soliton equations by M. S. Alber and J. E. Marsden Schur flows for orthogonal Hessenberg matrices by G. S. Ammar and W. B. Gragg Sub-Riemannian optimal control problems by A. M. Bloch, P. E. Crouch, and T. S. Ratiu Systems of hydrodynamic type, connected with the toda lattice and the Volterra model by O. I. Bogoyavlenskii The double bracket equation as the solution of a variational problem by R. W. Brockett Integration and visualization of matrix orbits on the connection machine by J.-P. Brunet A list of matrix flows with applications by M. T.-C. Chu The Gibbs variational principle, gradient flows, and interior-point methods by L. E. Faybusovich Optimization techniques on Riemannian manifolds by S. T. Smith On the number of real roots of a sparse polynomial system by B. Sturmfels Gradient flows for local minima of combinatorial optimization problems by W. S. Wong.