
SINGULAR
 Referenced in 1504 articles
[sw00866]
 Buchberger’s algorithm and Mora’s Tangent Cone algorithm. Furthermore, it provides polynomial factorizations, resultant...

SeDuMi
 Referenced in 1272 articles
[sw04002]
 toolbox for solving optimization problems over symmetric cones, i.e. it allows not only for linear...

SDPT3
 Referenced in 697 articles
[sw04009]
 solve conic programming problems whose constraint cone is a product of semideﬁnite cones, secondorder ... cones, nonnegative orthants and Euclidean spaces; and whose objective function is the sum of linear ... barrier terms associated with the constraint cones. This includes the special case of determinant maximization ... example, steplengths associated with semideﬁnite cones are calculated via the Lanczos method. Numerical experiments...

YALMIP
 Referenced in 1033 articles
[sw04595]
 linear programming, quadratic programming, second order cone programming, semidefinite programming, nonconvex semidefinite programming, mixed...

CVX
 Referenced in 832 articles
[sw04594]
 linear and quadratic programs (LPs/QPs), secondorder cone programs (SOCPs), and semidefinite programs (SDPs...

LINGO
 Referenced in 319 articles
[sw04942]
 convex & nonconvex/Global), Quadratic, Quadratically Constrained, Second Order Cone, Stochastic, and Integer optimization models faster, easier...

Normaliz
 Referenced in 168 articles
[sw00630]
 monoids, vector configurations, lattice polytopes, and rational cones. Its input data can be specified ... binomial ideal. Normaliz computes the dual cone of a rational cone (in other words, given ... basis of a (not necessarily pointed) rational cone, the lattice points of a rational polytope ... polytopes via NmzIntegrate, a description of the cone and lattice under consideration by a system...

PORTA
 Referenced in 126 articles
[sw04869]
 points plus (possibly) the convex cone of a set of vectors, or as a system...

Gfan
 Referenced in 121 articles
[sw04698]
 fans associated to polynomial ideals. The maximal cones of a Gröbner fan are in bijection...

SCS
 Referenced in 47 articles
[sw16632]
 first order method for solving very large cone programs to modest accuracy. The method uses ... intersection of a subspace and a cone. This approach has several favorable properties. Compared ... Compared to other firstorder methods for cone programs, our approach finds both primal ... usual (symmetric) nonnegative, secondorder, and semidefinite cones as well as the (nonselfdual...

SCCP
 Referenced in 79 articles
[sw03318]
 well known that the symmetric cone complementarity problem (SCCP) is a broad class of optimization...

BENSOLVE
 Referenced in 75 articles
[sw12273]
 following features: arbitrary pointed solid polyhedral ordering cones; primal and dual algorithms; primal and dual...

PSwarm
 Referenced in 68 articles
[sw00742]
 incorporates positive generators for the tangent cone of the approximated active constraints, including a provision...

Convex
 Referenced in 33 articles
[sw07770]
 intersection. The linear setting is based on cones, which are intersections of finitely many linear ... halfspaces (i.e., whose boundary contains the origin). Cones are generated by finitely many rays ... Convex package, cones are represented by the type CONE. They may contain lines ... fulldimensional. A CONE can be created from either description with the functions poshull...

OrthoMADS
 Referenced in 60 articles
[sw07713]
 orthogonal to each other, which yields convex cones of missed directions at each iteration that...

ECOS
 Referenced in 58 articles
[sw12123]
 solving optimization problems with secondorder cone constraints (SOCPs). This includes linear (LPs), quadratic...

SDPpack
 Referenced in 51 articles
[sw04333]
 first to cover quadratic cone programs as well as semidefinite programs...

ASTRA
 Referenced in 38 articles
[sw14524]
 beam geometries, and 3D parallel and cone beam. All of them have highly flexible source/detector...

QSDPNAL
 Referenced in 30 articles
[sw18799]
 polyhedral set constraint, and a positive semidefinite cone constraint. A first order algorithm which relies...

FastJet
 Referenced in 29 articles
[sw10257]
 plugin mechanism, including all currently used cone algorithms. FastJet also provides means to facilitate...