• KELLEY

• Referenced in 643 articles [sw04829]
• inexact Newton methods, and the Gauss-Newton method for the solution of nonlinear least squares ... devoted to line-search and trust-region methods, which are used to globalize convergence...

• GQTPAR

• Referenced in 334 articles [sw07451]
• this algorithm in a trust region Newton’s method. In particular, we prove that under ... assumptions the sequence generated by Newton’s method has a limit point which satisfies ... GQTPAR is quite successful in a trust region method. In our tests a call...

• TRON

• Referenced in 116 articles [sw04714]
• TRON is a trust region Newton method for the solution of large bound-constrained optimization...

• STRSCNE

• Referenced in 57 articles [sw00922]
• based on the affine scaling trust-region method STRN, recently proposed by the authors...

• QUALEX

• Referenced in 51 articles [sw04742]
• developed. In contrast to usual trust region methods, it regards not only the global optimum...

• HSL-VF05

• Referenced in 70 articles [sw36311]
• Solving the trust-region subproblem using the Lanczos method. The approximate minimization of a quadratic ... ellipsoidal trust region is an important subproblem for many nonlinear programming methods. When the number ... convergence or until it reaches the trust-region boundary. We investigate ways of continuing ... observe that the trust-region problem within the currently generated Krylov subspace has a very...

• RTRMC

• Referenced in 43 articles [sw20435]
• then apply second-order Riemannian trust-region methods (RTRMC 2) and Riemannian conjugate gradient methods...

• CONDOR

• Referenced in 24 articles [sw02490]
• linear, Direct, parallel Optimization using trust Region method for high-computing load function). The experimental...

• OPTIMA

• Referenced in 14 articles [sw25286]
• search techniques, the steepest descend approach, trust region methods as well as Newton and quasi...

• LSTRS

• Referenced in 34 articles [sw04729]
• scale trust-region subproblems and regularization A MATLAB 6.0 implementation of the LSTRS method ... constraint. The method is based on a reformulation of the trust-region subproblem ... preserves the matrix-free nature of the method. A description of the LSTRS method...

• SE-Sync

• Referenced in 9 articles [sw40678]
• manifold, and design a truncated-Newton trust-region method to solve this reduction efficiently. Finally...

• MSS

• Referenced in 6 articles [sw08530]
• MATLAB Software for L-BFGS Trust-Region Subproblems for Large-Scale Optimization. A MATLAB implementation ... trust-region constraint. This solver is an adaptation of the Moré-Sorensen direct method into ... suggest that using the MSS method as a trust-region subproblem solver can require significantly ... gradient evaluations needed by a trust-region method as compared with the Steihaug-Toint method...

• TRICE

• Referenced in 46 articles [sw05197]
• nonlinear programming problems A family of trust-region interior-point sequential quadratic programming (SQP) algorithms ... bound constraints by using an affine scaling method proposed, for a different class of problems ... they exploit trust-region techniques for equality-constrained optimization. Thus, they allow the computation ... steps using a variety of methods, including many iterative techniques.par Global convergence of these algorithms...

• OPT++

• Referenced in 20 articles [sw05203]
• interior-point method, parallel direct search, generating set search, a trust region - parallel direct search...

• TRESNEI

• Referenced in 16 articles [sw05208]
• Matlab implementation of a trust-region Gauss-Newton method for bound-constrained nonlinear least-squares...

• NOX

• Referenced in 5 articles [sw12985]
• methods such as line search and trust region methods. NOX is designed to work with...

• TENSOLVE

• Referenced in 29 articles [sw00956]
• based on a linear model. The tensor method approximates F(x) by a quadratic model ... dimensional trust region approach. Test results indicate that, in general, tensor methods are significantly more...

• Utopia

• Referenced in 8 articles [sw42384]
• Although in principle efficient iterative multi-level methods for these types of problems are available ... implementation of the recursive multilevel trust-region (RMTR) method based on the Utopia library. RMTR...

• WEDGE

• Referenced in 40 articles [sw04771]
• moderate, but derivativesare not available. The method generates a model that interpolates the objective function ... sample points, and uses trust regions to promote convergence. A geometric constraint (or wedge) aims...

• ipfilter

• Referenced in 72 articles [sw04778]
• globalize the primal-dual interior-point method for nonlinear optimization, avoiding the use of merit ... whose sizes are controlled by a trust-region type parameter. Each entry in the filter...