• BARON

  • Referenced in 354 articles [sw00066]
  • computational system for solving nonconvex optimization problems to global optimality. Purely continuous, purely integer...
  • KNITRO

  • Referenced in 196 articles [sw00490]
  • quadratic, and nonlinear smooth optimization problems, both convex and nonconvex. It is also effective...
  • SQPlab

  • Referenced in 175 articles [sw05161]
  • functions defining the problem can be nonlinear and nonconvex, but must be differentiable. A particular ... program (QP). This is a simpler optimization problem, which has a quadratic objective and linear ... hard when the quadratic objective is nonconvex. On the other hand, as a Newton method ... functions defining the nonlinear optimization problem, and their derivatives, is time consuming. Indeed, in this...
  • iPiano

  • Referenced in 60 articles [sw09623]
  • solving a minimization problem composed of a differentiable (possibly nonconvex) and a convex (possibly nondifferentiable ... algorithm for the proposed class of problems yields global convergence of the function values ... algorithm robust for usage on nonconvex problems. The convergence result is obtained based...
  • alphaBB

  • Referenced in 49 articles [sw06249]
  • Global Optimization Method for General Constrained Nonconvex Problems. A branch and bound global optimization method ... ffBB, for general continuous optimization problems involving nonconvexities in the objective function and/or constraints ... parameter as defined in [17] to underestimate nonconvex terms of generic structure. The proposed branch ... series of nonlinear convex minimization problems. The global optimization method, ffBB, is implemented...
  • sparsenet

  • Referenced in 89 articles [sw19133]
  • SparseNet: coordinate descent with nonconvex penalties. We address the problem of sparse selection in linear...
  • HIFOO

  • Referenced in 62 articles [sw05188]
  • linear systems is a difficult, nonconvex, nonsmooth optimization problem when the order of the controller ... performance optimization problems. It depends on a hybrid algorithm for nonsmooth, nonconvex optimization based...
  • LMIRank

  • Referenced in 35 articles [sw04823]
  • this problem. It is a nonconvex feasibility problem de¯ned by LMI constraints together with...
  • Ipopt

  • Referenced in 740 articles [sw04808]
  • find (local) solutions of mathematical optimization problems of the from ... nonlinear and nonconvex, but should be twice continuously differentiable. Note that equality constraints...
  • RealPaver

  • Referenced in 51 articles [sw04401]
  • solving nonlinear and nonconvex constraint satisfaction and optimization problems over the real numbers. The decision...
  • PENLAB

  • Referenced in 20 articles [sw06243]
  • older PENNON. PENLAB can solve problems of nonconvex nonlinear optimization with standard (vector) variables...
  • MINOTAUR

  • Referenced in 28 articles [sw06268]
  • multilinear terms that arise in nonconvex mixed integer optimization problems. The goal is to obtain...
  • ProxSARAH

  • Referenced in 9 articles [sw35438]
  • algorithmic framework to solve stochastic composite nonconvex optimization problems that covers both finite ... averaging step making them different from existing nonconvex proximal-type algorithms. The algorithms only require ... nonconvex objective term and additional bounded variance assumption if applied to expectation problems. They work ... proposed algorithms on two composite nonconvex problems and neural networks using several well-known data...
  • MISQP

  • Referenced in 13 articles [sw06267]
  • code is applicable also to nonconvex optimization problems...
  • NIMBUS

  • Referenced in 63 articles [sw04339]
  • classification, a new (multiobjective) optimization problem is formed, which is solved by an MPB (Multiobjective ... method is capable of handling several nonconvex locally Lipschitz continuous objective functions subject to nonlinear ... Finally, numerical experiments with two academic test problems are reported. The aim is to briefly...
  • ANTIGONE

  • Referenced in 101 articles [sw09241]
  • Mixed-Integer Quadratic Optimizer, GloMIQO, to general nonconvex terms. The purpose of this paper ... test suite of 2,571 problems from standard libraries and the open literature; we compare...
  • LPCCbnc

  • Referenced in 5 articles [sw31750]
  • complementarity constraints results in a nonconvex optimization problem. We develop a branch-and-cut algorithm...
  • Nonconvex Pareto Navigator

  • Referenced in 3 articles [sw31871]
  • extends the Pareto Navigator method for nonconvex problems. An approximation of the Pareto optimal front ... given Pareto optimal outcomes. Besides handling nonconvexity, the new method contains new options for directing ... method. The Nonconvex Pareto Navigatormethod is especially well-suited for computationally expensive problems, because ... overall and in particular with respect to Nonconvex Pareto Navigator...
  • BTN

  • Referenced in 3 articles [sw00094]
  • traditional algorithms for this problem, requiring only that a (scalar) subroutine be provided to evaluate ... method, which is numerically stable for nonconvex problems. In addition to the optimization software...
  • DCCP

  • Referenced in 3 articles [sw14722]
  • organized heuristic for solving nonconvex problems that involve objective and constraint functions that...