• SNOPT

  • Referenced in 532 articles [sw02300]
  • optimization problems with smooth nonlinear functions in the objective and constraints. Here ... consider problems with general inequality constraints (linear and nonlinear). We assume that first derivatives...
  • MINOS

  • Referenced in 444 articles [sw05095]
  • objective function and constraints may be linear or nonlinear, or a mixture of both ... nonlinear functions must be smooth. Stable numerical methods are employed throughout. Features include ... variables are handled efficiently. File formats for constraint and basis data are compatible with...
  • CONOPT

  • Referenced in 167 articles [sw02791]
  • large-scale nonlinear programs involving sparse nonlinear constraints. The paper will discuss strategic and tactical ... competitive with other codes for large-scale nonlinear programming from both an efficiency ... especially true for models with fairly nonlinear constraints, particularly when it is difficult to attain...
  • NPSOL

  • Referenced in 147 articles [sw07420]
  • guide for NPSOL 5.0: Fortran package for nonlinear programming. NPSOL is a set of Fortran ... minimizing a smooth function subject to constraints, which may include simple bounds ... variables, linear constraints, and smooth nonlinear constraints. The user provides subroutines to define the objective ... subproblem. Bounds, linear constraints, and nonlinear constraints are treated separately. Hence it is especially effective...
  • EGO

  • Referenced in 371 articles [sw07588]
  • optimization problems with additional linear, nonlinear and integer constraints. The idea of the EGO algorithm...
  • Ipopt

  • Referenced in 710 articles [sw04808]
  • software package for large-scale ​nonlinear optimization. It is designed to find (local) solutions ... constraint functions. The vectors g_L and g_U denote the lower and upper bounds ... constraints, and the vectors x_L and x_U are the bounds on the variables ... nonlinear and nonconvex, but should be twice continuously differentiable. Note that equality constraints...
  • CFSQP

  • Referenced in 61 articles [sw04658]
  • generated by CFSQP all satisfy these constraints. Nonlinear equality constraints are turned into inequality constraints ... exact penalty function which penalizes nonlinear equality constraint violations only. When solving problems with many ... objective function (penalty function if nonlinear equality constraints are present) decrease at each iteration after ... objective functions if there is no nonlinear equality constraints, or an exact penalty function...
  • SCIP

  • Referenced in 508 articles [sw01091]
  • mixed integer nonlinear programming (MINLP). It is also a framework for constraint integer programming...
  • NOMAD

  • Referenced in 97 articles [sw02916]
  • algorithm for blackbox optimization under general nonlinear constraints. Blackbox optimization is about optimizing functions that...
  • Numerica

  • Referenced in 46 articles [sw21227]
  • find solutions to systems of nonlinear constraints or to optimize a nonlinear function subject ... nonlinear constraints. The field of global optimization is the study of methods to find ... solutions to systems of nonlinear constraints and all global optima to optimization problems. Numerica ... optimization that makes it possible to state nonlinear problems in a form close...
  • KNITRO

  • Referenced in 191 articles [sw00490]
  • also effective for nonlinear regression, problems with complementarity constraints (MPCCs or MPECs), and mixed-integer...
  • NLopt

  • Referenced in 107 articles [sw11789]
  • NLopt is a free/open-source library for nonlinear optimization, providing a common interface for a number ... millions of parameters and thousands of constraints). Both global and local optimization algorithms. Algorithms using ... optimization, bound-constrained optimization, and general nonlinear inequality/equality constraints. Free/open-source software under the GNU LGPL...
  • RealPaver

  • Referenced in 51 articles [sw04401]
  • Algorithm 852 Realpaver: nonlinear constraint solving & rigorous global optimization. Problems: Realpaver allows modeling and solving ... nonlinear and nonconvex constraint satisfaction and optimization problems over the real numbers. The decision variables...
  • Optimization Toolbox

  • Referenced in 293 articles [sw10828]
  • Product Description: Solve linear, quadratic, integer, and nonlinear optimization problems. Optimization Toolbox™ provides functions ... constraints. The toolbox includes solvers for linear programming, mixed-integer linear programming, quadratic programming, nonlinear...
  • Tabu search

  • Referenced in 1060 articles [sw08556]
  • basic implementation principles for solving combinatorial or nonlinear problems. We also identify recent developments ... model elements, such as new types of constraints and objective functions. Similarly, the method itself...
  • TRICE

  • Referenced in 46 articles [sw05197]
  • class of minimization problems with nonlinear equality constraints and simple bounds on some ... variables is described and analyzed. Such nonlinear programs arise, e.g., from the discretization of optimal ... rely on matrix factorizations of the linearized constraints but use solutions of the linearized state ... special cases, current results for only equality constraints and for only simple bounds.par Numerical results...
  • BARON

  • Referenced in 339 articles [sw00066]
  • Purely continuous, purely integer, and mixed-integer nonlinear problems can be solved with the software ... Navigator derives its name from its combining constraint propagation, interval analysis, and duality...
  • NIMBUS

  • Referenced in 63 articles [sw04339]
  • continuous objective functions subject to nonlinear (possibly nondifferentiable) constraints. Finally, numerical experiments with two academic...
  • INTOPT_90

  • Referenced in 306 articles [sw04705]
  • tighter solution intervals. The chapter about solving nonlinear systems of equations (23 pages) features ... global optimization (40 pages) only admits equality constraints (within a box frame). The solution procedures ... Walster’s pioneering concept of 1987 (Nonlinear equations and optimization. Preprint.). The chapter about...
  • NLPQL

  • Referenced in 131 articles [sw08457]
  • method for solving nonlinearly constrained optimization problems with differentiable objective and constraint functions. At each...