• LMI toolbox

  • Referenced in 899 articles [sw06383]
  • Linear Matrix Inequalities (LMIs) and LMI techniques have emerged as powerful design tools in areas...
  • SDPT3

  • Referenced in 387 articles [sw04009]
  • case of determinant maximization problems with linear matrix inequalities. It employs an infeasible primal-dual...
  • GloptiPoly

  • Referenced in 184 articles [sw04343]
  • hierarchy of semidefinite programming (SDP), or linear matrix inequality (LMI) relaxations of the GPM, whose...
  • LMITOOL

  • Referenced in 20 articles [sw05130]
  • control can be formulated as “linear matrix inequality” (LMI) problems. Previously, efficient algorithms have been...
  • LMIRank

  • Referenced in 18 articles [sw04823]
  • linear matrix inequality (LMI) problem is a well known type of convex feasibility problem that...
  • cdd

  • Referenced in 80 articles [sw00114]
  • linear inequalities: P = {x c R^d : Ax <= b } where is an real matrix ... problem which is to obtain a linear inequality representation of a convex polyhedron given...
  • SparseCoLO

  • Referenced in 4 articles [sw04768]
  • SparseCoLO (Conversion Methods for SPARSE COnic-form Linear Optimization) SparseCoLO is a Matlab package ... positive semidefinite matrix completion for an optimization problem with matrix inequalities satisfying a sparse chordal ... including both primal and dual form of linear, semidefinite, second-order cone programs with equality/inequality ... range-space sparsity of a linear matrix inequality (LMI) constraint of the given problem. SparseCoLO...
  • TPtool

  • Referenced in 1 article [sw11769]
  • convex polytopic forms, upon which LMI (Linear Matrix Inequality) based multi-objective control design techniques...
  • GpoSolver

  • Referenced in 1 article [sw15713]
  • such problems is based on convex linear matrix inequality (LMI) relaxations. Software implementations of this...
  • reducedLP

  • Referenced in 10 articles [sw04821]
  • inequality constraints Consider solving a linear program in standard form where the constraint matrix...
  • QL

  • Referenced in 13 articles [sw12450]
  • quadratic programming problems subject to linear equality and inequality constraints by the primal-dual method ... available Cholesky decomposition of the objective function matrix can be provided by the user. Bounds...
  • SPECTRA

  • Referenced in 0 articles [sw17619]
  • SPECTRA -a Maple library for solving linear matrix inequalities in exact arithmetic, This document briefly ... Tools of Real Algebra. It solves linear matrix inequalities in exact arithmetic...
  • cddplus

  • Referenced in 8 articles [sw04443]
  • given by a system of linear inequalities: P = { x : A x <= b } where ... real matrix and b is a real m dimensional vector. The program can be used ... move back and forth between an inequality representation and a generator (i.e. vertex ... with cdd+. Also, cdd+ can solve a linear programming problem, i.e. a problem of maximizing...
  • QPSchur

  • Referenced in 13 articles [sw06918]
  • abstracted away behind a fixed KKT matrix called $K_{o}$ and other problem matrices, which ... Updates to the working set of active inequality constraints are facilitated using a dense Schur ... While the Schur complement approach to linear algebra is very flexible with respect to allowing...
  • SQOPT

  • Referenced in 10 articles [sw07860]
  • linear equalities and inequalities. SQOPT uses a two-phase, active-set, reduced-Hessian method ... freedom. SQOPT is primarily intended for large linear and quadratic problems with sparse constraint matrices ... maintaining sparse LU factors of the basis matrix), a practical anti-degeneracy procedure, scaling...
  • LCOBYQA

  • Referenced in 3 articles [sw10964]
  • whose derivatives are unavailable, subject to linear inequality constraints. The algorithm is based ... change to the second derivative matrix of the model. The model is then minimized...
  • PermonQP

  • Referenced in 1 article [sw16718]
  • unconstrained QP problems (i.e. linear systems with a positive semidefinite matrix) or equality constrained ones ... matrix. PermonQP capabilities can be further extended by using PermonIneq (algorithms for solution of inequality...
  • ADOL-C

  • Referenced in 164 articles [sw00019]
  • ADOL-C: Automatic Differentiation of C/C++ We present...
  • ANSYS

  • Referenced in 388 articles [sw00044]
  • ANSYS offers a comprehensive software suite that spans...
  • BARON

  • Referenced in 201 articles [sw00066]
  • BARON is a computational system for solving nonconvex...