We present a trust-region method for minimizing a general differentiable function restricted to an arbitrary closed set. We prove a global convergence theorem. The trust-region method defines difficult subproblems that are solvable in some particular cases. We analyze in detail the case where the domain is a Euclidean ball. For this case we present numerical experiments where we consider different Hessian approximations. © 1995 The Mathematical Programming Society, Inc.681-326730
Abstract. We consider methods for large-scale unconstrained minimization based on finding an approxi...
We present trust-region methods for the general unconstrained minimization problem. Trust-region alg...
We consider the global minimization of a bound-constrained function with a so-called funnel structur...
Abstract. This paper extends the known excellent global convergence properties of trust region algor...
Three fundamental convergence properties of trust region (TR) methods for solving nonsmooth unconstr...
We introduce a new algorithm of trust-region type for minimizing a differentiable function of many v...
We introduce a trust region algorithm for minimization of nonsmooth functions with linear constraint...
We introduce a trust region algorithm for minimization of nonsmooth functions with linear constraint...
We introduce a trust region algorithm for minimization of nonsmooth functions with linear constraint...
A general family of trust region algorithms for nonsmooth optimization is considered. Conditions for...
An algorithm for solving the problem of minimizing a non-linear function subject to equality constra...
under Contract W-31-109-Eng-38. The trust region problem requires the global minimum of a general qu...
Two trust-region interior-point algorithms for the solution of minimization problems with simple bou...
The main goal of this thesis is the choice of steps in trust region methods for finding a minimum of...
The minimization of a particular nondifferentiable function is considered. The first and second orde...
Abstract. We consider methods for large-scale unconstrained minimization based on finding an approxi...
We present trust-region methods for the general unconstrained minimization problem. Trust-region alg...
We consider the global minimization of a bound-constrained function with a so-called funnel structur...
Abstract. This paper extends the known excellent global convergence properties of trust region algor...
Three fundamental convergence properties of trust region (TR) methods for solving nonsmooth unconstr...
We introduce a new algorithm of trust-region type for minimizing a differentiable function of many v...
We introduce a trust region algorithm for minimization of nonsmooth functions with linear constraint...
We introduce a trust region algorithm for minimization of nonsmooth functions with linear constraint...
We introduce a trust region algorithm for minimization of nonsmooth functions with linear constraint...
A general family of trust region algorithms for nonsmooth optimization is considered. Conditions for...
An algorithm for solving the problem of minimizing a non-linear function subject to equality constra...
under Contract W-31-109-Eng-38. The trust region problem requires the global minimum of a general qu...
Two trust-region interior-point algorithms for the solution of minimization problems with simple bou...
The main goal of this thesis is the choice of steps in trust region methods for finding a minimum of...
The minimization of a particular nondifferentiable function is considered. The first and second orde...
Abstract. We consider methods for large-scale unconstrained minimization based on finding an approxi...
We present trust-region methods for the general unconstrained minimization problem. Trust-region alg...
We consider the global minimization of a bound-constrained function with a so-called funnel structur...
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