We analyze the convergence of the sequential quadratic programming (SQP) method for nonlinear programming for the case in which the Jacobian of the active constraints is rank deecient at the solution and/or strict complementarity does not hold for some or any feasible Lagrange multipliers. We use a nondiieren-tiable exact penalty function, and we prove that the sequence generated by the SQP is ...

We analyze the convergence of the sequential quadratic programming (SQP) method for nonlinear programming for the case in which the Jacobian of the active constraints is rank deecient at the solution and/or strict complementarity does not hold for some or any feasible Lagrange multipliers. We use a nondiieren-tiable exact penalty function, and we prove that the sequence generated by the SQP is ...

The quadratic assignment problem (denoted QAP), in the trace formulation over the permutation matrices, is min X2 tr(AXB + C)X t : Several recent lower bounds for QAP are discussed. These bounds are obtained by applying continuous optimization techniques to approximations of this combinatorial optimization problem, as well as by exploiting the special matrix structure of the problem. In particu...

The COVID-19 pandemic is the defying crisis of our time. Since mass vaccination has not yet been established, countries still have facing many issues due to viral spread. Even in cities with high seroprevalence, intense resurgent waves registered, possibly variants greater transmission rates. Accordingly, we develop a new Model Predictive Control (MPC) framework that able determine social dista...