• Genocop

  • Referenced in 1081 articles [sw04707]
  • input parameters) of a function; additional linear constraints (equations and inequalities) can be specified...
  • SNOPT

  • Referenced in 523 articles [sw02300]
  • nonlinear functions in the objective and constraints. Here we consider problems with general inequality constraints ... that uses a smooth augmented Lagrangian merit function and makes explicit provision for infeasibility...
  • SDPT3

  • Referenced in 644 articles [sw04009]
  • objective function is the sum of linear functions and log-barrier terms associated with ... determinant maximization problems with linear matrix inequalities. It employs an infeasible primal-dual predictor-corrector...
  • PORTA

  • Referenced in 123 articles [sw04869]
  • system of linear equations and inequalities. The name PORTA is an abbreviation for POlyhedron Representation ... Transformation Algorithm and points to the basic function ’traf’. This function performs a transformation from ... system of linear inequalities can be done separately by using the function ’fmel...
  • COBYLA2

  • Referenced in 39 articles [sw05136]
  • infinity exact penalty function as merit function. Inequality constraints only. M. Powell’s paper...
  • CFSQP

  • Referenced in 61 articles [sw04658]
  • Iterates Satisfying All Inequality Constraints. CFSQP is a set of C functions for the minimization ... maximum of a set of smooth objective functions (possibly a single one) subject to general ... user is infeasible for some inequality constraint or some linear equality constraint, CFSQP first generates ... inequality constraints (to be satisfied by all iterates) and the maximum of the objective functions...
  • MetiTarski

  • Referenced in 50 articles [sw00573]
  • Many inequalities involving the functions ln, exp, sin, cos, etc., can be proved automatically...
  • RAGlib

  • Referenced in 63 articles [sw00774]
  • equations and inequalities. RAGlib is a Maple package providing useful functionalities for the study ... solutions of polynomial systems of equations and inequalities such as testing the emptiness or computing ... systems of equations/inequalities over the reals. Provided functionalities allow to decide the existence of real...
  • FULPAL

  • Referenced in 18 articles [sw09138]
  • coefficients in the constraints and/or the objective function(s) may be fuzzy. This approach ... based on a new interpretation of the inequality-relation “ ≦∼ ”. Here a fuzzy constraint ... replaced by a crisp inequality and a fuzzy objective function (utility function). This interpretation coincides...
  • GloptiPoly

  • Referenced in 301 articles [sw04343]
  • mathematics such as algebra, Fourier analysis, functional analysis, operator theory, probability and statistics, to cite ... semidefinite programming (SDP), or linear matrix inequality (LMI) relaxations of the GPM, whose associated monotone...
  • QPOPT

  • Referenced in 17 articles [sw07859]
  • subroutines for minimizing a general quadratic function subject to linear constraints and simple upper ... linear equalities and inequalities. If the quadratic function is convex (i.e., the Hessian is positive...
  • NOA

  • Referenced in 14 articles [sw08659]
  • locally Lipschitz continuous function subject to locally Lipschitzian inequality and equality constraints, general linear constraints ... methods that accumulate subgradients of the problem functions and use quadratic programming for search direction...
  • SQOPT

  • Referenced in 18 articles [sw07860]
  • minimizing a convex quadratic function subject to both equality and inequality constraints. SQOPT may also ... linear equalities and inequalities. SQOPT uses a two-phase, active-set, reduced-Hessian method ... quadratic term 1/2x’Hx in the objective function is represented by a user subroutine that...
  • DFN

  • Referenced in 18 articles [sw36998]
  • when first-order information on the problem functions is not available. In the first part ... part, we consider inequality constrained optimization problems where both objective function and constraints can possibly...
  • Epsilon

  • Referenced in 41 articles [sw00244]
  • modules and contains more than 70 functions, which allow one to triangularize systems of multivariate ... fields, solve systems of polynomial equations and inequations, and handle and prove geometric theorems automatically...
  • cdd

  • Referenced in 112 articles [sw00114]
  • problem which is to obtain a linear inequality representation of a convex polyhedron given ... must be full-dimensional. Besides these basic functions, cdd/cdd+ can solve the general linear programming...
  • levmar

  • Referenced in 58 articles [sw04809]
  • Both unconstrained and constrained (under linear equations, inequality and box constraints) Levenberg-Marquardt variants ... that finds a local minimum of a function that is expressed...
  • iPiano

  • Referenced in 49 articles [sw09623]
  • problems yields global convergence of the function values and the arguments. This makes the algorithm ... obtained based on the Kurdyka-Łojasiewicz inequality. This is a very weak restriction, which...
  • PPL

  • Referenced in 97 articles [sw05357]
  • software components. Current applications span imperative, functional and logic languages, synchronous languages and synchronization protocols ... described by systems of constraints where strict inequalities are allowed to occur. This paper presents...
  • LCOBYQA

  • Referenced in 9 articles [sw10964]
  • linear function, whose derivatives are unavailable, subject to linear inequality constraints. The algorithm is based...