• # KELLEY

• Referenced in 631 articles [sw04829]
• parameter identification problem and a discretized optimal control problem, both of which are used ... first part. Chapter 2 studies the local convergence of Newton’s method, inexact Newton methods ... solution of nonlinear least squares problems. Both, overdetermined and underdetermined nonlinear least squares problems ... globalize convergence, i.e., remove the restriction that the starting point of the optimization iteration...
• # MultiMin

• Referenced in 86 articles [sw07546]
• constrained mixed-integer global optimization problems. It tries to find all local minima ... multi-start method using a suitable nonlinear programming subsolver...
• # MathOptimizer

• Referenced in 14 articles [sw06911]
• MathOptimizer Professional 3 Advanced Global and Local Nonlinear Optimization Using the External LGO Solver Suite ... Mathematica with the established LGO (Lipschitz Global Optimizer) solver suite, offering sophisticated application development tools...
• # NLopt

• Referenced in 109 articles [sw11789]
• nonlinear optimization, providing a common interface for a number of different free optimization routines available ... thousands of constraints). Both global and local optimization algorithms. Algorithms using function values only (derivative ... gradients. Algorithms for unconstrained optimization, bound-constrained optimization, and general nonlinear inequality/equality constraints. Free/open-source software...
• # Numerica

• Referenced in 46 articles [sw21227]
• modeling language for global optimization that makes it possible to state nonlinear problems ... traditional numerical methods such as interval and local methods, and constraint satisfaction techniques.This comprehensive presentation...
• # RealPaver

• Referenced in 51 articles [sw04401]
• allows modeling and solving nonlinear and nonconvex constraint satisfaction and optimization problems over the real ... able to enclose the global optimum of an optimization problem with certainty. Solving methods: Realpaver ... interval fixed-point operators, constraint propagation and local consistency techniques, local optimization using descent methods...
• # TRICE

• Referenced in 46 articles [sw05197]
• analyzed. Such nonlinear programs arise, e.g., from the discretization of optimal control problems. The algorithms ... suited for large scale problems arising from optimal control problems governed by partial differential equations.par ... conditions. The local rate of convergence to a nondegenerate strict local minimizer is $q$-quadratic ... solution of an optimal control problem governed by a nonlinear heat equation are reported...
• # DFLGEN

• Referenced in 9 articles [sw36986]
• discrete variables, which can further complicate the optimization process. In this paper, we propose derivative ... continuously differentiable Mixed Integer NonLinear Programming problems with general nonlinear constraints and explicit handling ... approach to handle the general nonlinear constraints and a local search approach to take into ... proposed algorithms globally converge to points satisfying different necessary optimality conditions. We report a computational...
• # PSOPT

• Referenced in 8 articles [sw20700]
• methods solve optimal control problems by approximating the time-dependent variables using global polynomials, such ... Chebyshev functions. Local discretization methods approximate the time dependent functions using local splines ... implicit Runge-Kutta integrators. With both global and local methods, differential equations, continuous constraints ... nodes. Sparse nonlinear programming is then used to find local optimal solutions. PSOPT is able...
• # DIRDFN

• Referenced in 8 articles [sw36984]
• paper we consider global optimization problems where both bound and general nonlinear constraints are present ... DIRECT-type algorithm with a derivative-free local minimization of a nonsmooth exact penalty function ... fold nature of the optimization problems, i.e. the global optimization of both the objective function...
• # Poblano

• Referenced in 12 articles [sw04186]
• large-scale algorithms for unconstrained nonlinear optimization problems. The algorithms in Poblano require only first ... social network analysis, chemometrics, etc.). Poblano optimizers find local minimizers of scalar-valued objective functions ... function is required for all Poblano optimizers. The optimizers converge to a stationary point where ... global convergence of the Poblano optimizers. The optimization methods in Poblano include several nonlinear conjugate...
• # GLOPT

• Referenced in 19 articles [sw00359]
• local minimizers that are nearly global, we thus find a good approximation to the global ... block separable structure of the optimization problem. \parIn this paper we discuss a new reduction ... ways for generating feasible points of constrained nonlinear programs. These are implemented as the first...
• # SO-I

• Referenced in 12 articles [sw10100]
• model algorithm for expensive nonlinear integer programming problems including global optimization applications. This paper presents ... algorithm SO-I for solving purely integer optimization problems that have computationally expensive black ... solving global optimization problems, meaning that the relaxed optimization problems have many local optima. However...
• # NewtonKKTqp

• Referenced in 10 articles [sw04820]
• algorithms are proposed and analyzed, for the (local) solution of (possibly) indefinite quadratic programming problems ... first-order KKT conditions of optimality or a perturbed version of these conditions. Our algorithms ... algorithm ( `a la Dikin) [J. of Global Optimization ... rather than to the prescribed value. Global and local quadratic convergence are proved under nondegeneracy...
• # bilevel

• Referenced in 5 articles [sw25305]
• shelf nonlinear solver to find a local optimal solution. Local optimal information is then used ... Fortuny-Amat reformulation of the MPCC to global optimality using off-the-shelf mixed-integer...
• # DIRMIN

• Referenced in 9 articles [sw36985]
• this paper we consider bound constrained global optimization problems where first-order derivatives ... efficient use of derivative-free local searches combined with nonlinear transformations of the feasible domain...
• # TESTGO

• Referenced in 9 articles [sw36990]
• this paper we consider bound constrained global optimization problems where first-order derivatives ... efficient use of derivative-free local searches combined with nonlinear transformations of the feasible domain...
• # Isomap

• Referenced in 11 articles [sw31686]
• uses easily measured local metric information to learn the underlying global geometry of a data ... approach is capable of discovering the nonlinear degrees of freedom that underlie complex natural observations ... previous algorithms for nonlinear dimensionality reduction, ours efficiently computes a globally optimal solution...
• # MAiNGO

• Referenced in 7 articles [sw27878]
• mixed integer Nonlinear Global Optimization. MAiNGO is a deterministic global optimization software for solving mixed ... serve as a framework for simulation and local optimization. Main algo-rithmic features of MAiNGO...