We consider a continuous-time optimization method based on dynamical system, where massive particle starting at rest moves in the conservative force field generated by objective function, without any kind of friction. formulate restart criterion mean dissipation kinetic energy, and we prove global convergence result for strongly-convex functions. Using Symplectic Euler discretization scheme, ob...

The self-scaling quasi-Newton method solves an unconstrained optimization problem by scaling the Hessian approximation matrix before it is updated at each iteration to avoid the possible large eigenvalues in the Hessian approximation matrices of the objective function. It has been proved in the literature that this method has the global and superlinear convergence when the objective function is...