• ANSYS

• Referenced in 703 articles [sw00044]
• design process requires. Organizations around the world trust ANSYS to deliver the best value...

• KELLEY

• Referenced in 631 articles [sw04829]
• devoted to line-search and trust-region methods, which are used to globalize convergence...

• GQTPAR

• Referenced in 325 articles [sw07451]
• Computing a trust region step We propose an algorithm for the problem of minimizing ... this algorithm in a trust region Newton’s method. In particular, we prove that under ... that GQTPAR is quite successful in a trust region method. In our tests a call...

• NAG

• Referenced in 423 articles [sw00610]
• Library is so widely used and trusted because of its unrivalled quality, reliability and portability...

• CUTE

• Referenced in 226 articles [sw14681]
• illustrate everything in its fullest generality. We trust that the majority of potential users...

• NASTRAN

• Referenced in 179 articles [sw04245]
• Nastran is recognized as the most trusted multidiscipline solver in the world...

• SuLQ

• Referenced in 128 articles [sw11355]
• consider a statistical database in which a trusted administrator introduces noise to the query responses...

• HSL-VF05

• Referenced in 70 articles [sw36311]
• Solving the trust-region subproblem using the Lanczos method. The approximate minimization of a quadratic ... function within an ellipsoidal trust region is an important subproblem for many nonlinear programming methods ... 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...

• TRON

• Referenced in 113 articles [sw04714]
• TRON is a trust region Newton method for the solution of large bound-constrained optimization...

• NEWUOA

• Referenced in 96 articles [sw00618]
• each iteration, which is used in a trust region procedure for adjusting the variables. When...

• UOBYQA

• Referenced in 67 articles [sw07576]
• minimizing the quadratic model subject to a trust region bound, or by a procedure that ... interpolation points and the adjustment of trust region radii. par The algorithm works with...

• QUALEX

• Referenced in 51 articles [sw04742]
• trust region technique for the maximum weight clique problem A new simple generalization ... directly proved. Within this framework a trust region heuristic is developed. In contrast to usual ... trust region methods, it regards not only the global optimum of a quadratic objective over...

• TRICE

• Referenced in 46 articles [sw05197]
• Trust-region interior-point SQP algorithms for a class of nonlinear programming problems A family ... trust-region interior-point sequential quadratic programming (SQP) algorithms for the solution of a class ... they exploit trust-region techniques for equality-constrained optimization. Thus, they allow the computation...

• ipfilter

• Referenced in 72 articles [sw04778]
• step, whose sizes are controlled by a trust-region type parameter. Each entry...

• STRSCNE

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

• CVC Lite

• Referenced in 56 articles [sw07581]
• result, we obtain a highly trusted proof-checker for CVC Lite, while also fundamentally expanding...

• ORBIT

• Referenced in 38 articles [sw20552]
• optimization by radial basis function interpolation in trust-regions. We present a new derivative-free ... local optimization of computationally expensive functions. A trust-region framework using interpolating Radial Basis Function...

• Lean

• Referenced in 45 articles [sw15148]
• Carnegie Mellon University, with a small trusted kernel based on dependent type theory. It aims...

• LSTRS

• Referenced in 32 articles [sw04729]
• LSTRS: MATLAB software for large-scale trust-region subproblems and regularization A MATLAB 6.0 implementation ... based on a reformulation of the trust-region subproblem as a parameterized eigenvalue problem...

• Complex Optimization Toolbox

• Referenced in 30 articles [sw14744]
• with Moré–Thuente line search or dogleg trust region, nonlinear least squares: minimization of vector ... Gauss–Newton with CG–Steihaug or dogleg trust region, and much more: automated numerical real...