• Tabu search

  • Referenced in 1011 articles [sw08556]
  • implementation principles for solving combinatorial or nonlinear problems. We also identify recent developments and extensions...
  • KELLEY

  • Referenced in 575 articles [sw04829]
  • identification problem and a discretized optimal control problem, both of which are used to demonstrate ... method for the solution of nonlinear least squares problems. Both, overdetermined and underdetermined nonlinear least...
  • L-BFGS

  • Referenced in 669 articles [sw03229]
  • limited-memory algorithm for solving large nonlinear optimization problems subject to simple bounds...
  • AMPL

  • Referenced in 561 articles [sw04001]
  • algebraic modeling language for linear and nonlinear optimization problems, in discrete or continuous variables. Developed...
  • SNOPT

  • Referenced in 480 articles [sw02300]
  • effective for solving constrained optimization problems with smooth nonlinear functions in the objective and constraints ... Here we consider problems with general inequality constraints (linear and nonlinear). We assume that first ... explicit provision for infeasibility in the original problem and the QP subproblems. SNOPT...
  • BARON

  • Referenced in 294 articles [sw00066]
  • continuous, purely integer, and mixed-integer nonlinear problems can be solved with the software...
  • Octave

  • Referenced in 263 articles [sw00646]
  • line interface for solving linear and nonlinear problems numerically, and for performing other numerical experiments ... common numerical linear algebra problems, finding the roots of nonlinear equations, integrating ordinary functions, manipulating...
  • GAMS

  • Referenced in 806 articles [sw04978]
  • designed for modeling linear, nonlinear and mixed integer optimization problems. The system is especially useful ... establish an accurate model. The system models problems in a highly compact and natural ... even convert from linear to nonlinear with little trouble...
  • KNITRO

  • Referenced in 160 articles [sw00490]
  • broad range of behaviors exhibited by nonlinear problems makes this an essential feature. KNITRO ... solving linear, quadratic, and nonlinear smooth optimization problems, both convex ... nonconvex. It is also effective for nonlinear regression, problems with complementarity constraints (MPCCs or MPECs ... programming (MIPs), particular convex mixed integer, nonlinear problems (MINLP). KNITRO is highly regarded...
  • NewtonLib

  • Referenced in 247 articles [sw04796]
  • Peter Deuflhards Book ”Newton Methods for Nonlinear Problems -- Affine Invariance and Adaptive Algorithms”. This monograph...
  • BVPh

  • Referenced in 151 articles [sw06575]
  • analytic approximation method for highly nonlinear problems, namely the homotopy analysis method (HAM). Unlike perturbation ... choose the equation-type of linear sub-problems and the base functions of a solution ... Mathematica package BVPh 1.0 for nonlinear boundary-value problems and its applications. Part III shows ... solutions to a number of nonlinear problems are presented, illustrating the originality...
  • Optimization Toolbox

  • Referenced in 255 articles [sw10828]
  • Description: Solve linear, quadratic, integer, and nonlinear optimization problems. Optimization Toolbox™ provides functions for finding ... programming, mixed-integer linear programming, quadratic programming, nonlinear optimization, and nonlinear least squares ... find optimal solutions to continuous and discrete problems, perform tradeoff analyses, and incorporate optimization methods...
  • Bonmin

  • Referenced in 175 articles [sw04766]
  • motivated by the fact that mixed integer nonlinear programming is an important and difficult area ... scale problems. Moreover, both fundamental building blocks, namely mixed integer linear programming and nonlinear programming ... Both the library of mixed integer nonlinear problems that exhibit convex continuous relaxations, on which...
  • LS-DYNA

  • Referenced in 285 articles [sw03068]
  • scalable code for solving highly nonlinear transient problems enabling the solution of coupled multi-physics...
  • LANCELOT

  • Referenced in 269 articles [sw00500]
  • software package for solving large-scale nonlinear optimization problems. This book provides a coherent overview...
  • LBFGS-B

  • Referenced in 261 articles [sw05142]
  • limited-memory algorithm for solving large nonlinear optimization problems subject to simple bounds...
  • COLNEW

  • Referenced in 144 articles [sw03169]
  • Collocation method for the solution of nonlinear problems with multiple boundary conditions. User manual...
  • NBI

  • Referenced in 158 articles [sw05075]
  • generating the Pareto surface in nonlinear multicriteria optimization problems This paper proposes an alternate method ... optimal points for a general nonlinear multicriteria optimization problem. Such points collectively capture the trade...
  • SQPlab

  • Referenced in 132 articles [sw05161]
  • problems. The functions defining the problem can be nonlinear and nonconvex, but must be differentiable ... program (QP). This is a simpler optimization problem, which has a quadratic objective and linear ... evaluation of the functions defining the nonlinear optimization problem, and their derivatives, is time consuming ... counterbalanced by the time spent in evaluating nonlinear functions. Since the functions are evaluated once...