Quantum Optimization: from origins to current challenges and future perspectives

Quantum optimization has emerged at the intersection of quantum computing and operations research, driven by the prospect of addressing challenging combinatorial optimization problems through quantum and quantum-inspired computational approaches. This paper provides a structured review of the field from a past, present, and future perspective. We first trace the evolution of quantum optimization from the … Read more

Improved Damped Quasi-Newton Methods for Unconstrained Optimization

Recently, Al-Baali (2014) has extended the damped-technique in the modified BFGS method of Powell (1978) for Lagrange constrained optimization functions to the Broyden family of quasi-Newton methods for unconstrained optimization. Appropriate choices for the damped-parameter, which maintain the global and superlinear con- vergence property of these methods on convex functions and correct the Hessian approximations … Read more