The behavior of function f in a neighborhood N around The basic idea is to approximate f withĪ simpler function q, which reasonably reflects SupposeĪnd you want to improve, i.e., move to a point with a lower function Where the function takes vector arguments and returns scalars. The unconstrained minimization problem, minimize f( x), To understand the trust-region approach to optimization, consider Many of the methods used in Optimization Toolbox™ solversĪre based on trust regions, a simple yet powerful fmincon Trust Region Reflective Algorithm Trust-Region Methods for Nonlinear Minimization More constraints used in semi-infinite programming see fseminf Problem Formulation and Algorithm. Such that one or more of the following holds: c( x) ≤ 0, ceq( x) = 0, A fseminf Problem Formulation and Algorithm.Strict Feasibility With Respect to Bounds.Preconditioned Conjugate Gradient Method.Trust-Region Methods for Nonlinear Minimization.fmincon Trust Region Reflective Algorithm.Constrained Nonlinear Optimization Algorithms.