In this article, we investigate a resource allocation problem for a multiunmanned aerial
vehicle (UAV) assisted integrated sensing and communication (ISAC) system, where a …

This paper addresses the question of whether it can be beneficial for an optimization
algorithm to follow directions of negative curvature. Although prior work has established …

Sequential optimality conditions have recently played an important role on the analysis of
the global convergence of optimization algorithms towards first-order stationary points …

We propose in this paper New Q-Newton's method. The update rule is conceptually very
simple, using the projections to the vector subspaces generated by eigenvectors of positive …

Augmented Lagrangian methods with convergence to second-order stationary points in
which any constraint can be penalized or carried out to the subproblems are considered in …

Sequential optimality conditions play a major role in proving stronger global convergence
results of numerical algorithms for nonlinear programming. Several extensions are …

This paper discusses the use of a stopping criterion based on the scaling of the Karush–
Kuhn–Tucker (KKT) conditions by the norm of the approximate Lagrange multiplier in the …

Consider a semidefinite program involving an n * nn× n positive semidefinite matrix X. The
Burer–Monteiro method uses the substitution X= YY^ TX= YYT to obtain a nonconvex …

Stabilized sequential quadratic programming (sSQP) methods for nonlinear optimization
generate a sequence of iterates with fast local convergence regardless of whether or not the …

Most path-following algorithms for tracing a solution path of a parametric nonlinear
optimization problem are only certifiably convergent under strong regularity assumptions …