
SNOPT
 Referenced in 495 articles
[sw02300]
 constraint gradients are sparse. We discuss an SQP algorithm that uses a smooth augmented Lagrangian ... Newton approximation to the Hessian of the Lagrangian and uses a reducedHessian algorithm (SQOPT ... designed for problems with many thousands of constraints and variables but a moderate number...

NLPQLP
 Referenced in 38 articles
[sw04073]
 quadratic approximation of the Lagrangian function and a linearization of constraints, a quadratic programming subproblem ... nodes of the distributed system, objective and constraint functions can be evaluated simultaneously at predetermined ... performed with respect to an augmented Lagrangian merit function. Moreover, a nonmonotone line search...

SDPNAL+
 Referenced in 34 articles
[sw13239]
 Lagrangian method, called SDPNAL+, for semidefinite programming (SDP) with partial or full nonnegative constraints ... employing a majorized semismooth NewtonCG augmented Lagrangian method coupled with a convergent 3block ... large scale SDPs with or without nonnegative constraints show that the proposed method...

DNURBS
 Referenced in 16 articles
[sw09123]
 local and global shape constraints. We use Lagrangian mechanics to formulate the equations of motion...

ALGENCAN
 Referenced in 87 articles
[sw05160]
 time. The general algorithm is of Augmented Lagrangian type and the subproblems are solved using ... potentially large number of variables and boxconstraints...

PFNRN
 Referenced in 11 articles
[sw05174]
 minimizing an augmented Lagrangian function, including only the side constraints. This method gives rise...

laGP
 Referenced in 12 articles
[sw14043]
 routines for blackbox optimization under constraints via an augmented Lagrangian scheme, and large scale computer...

PENNON
 Referenced in 101 articles
[sw04336]
 generalized version of the augmented Lagrangian method, originally introduced by BenTal and Zibulevsky ... mixture of SDP, SOCP and NLP constraints. Results of extensive numerical tests and comparison with...

QSDPNAL
 Referenced in 20 articles
[sw18799]
 Lagrangian method, called QSDPNAL, for solving convex quadratic semidefinite programming (QSDP) problems with constraints consisting ... constraint, and a positive semidefinite cone constraint. A first order algorithm which relies ... QSDPNALPhase II, we design an augmented Lagrangian method (ALM) wherein the inner subproblem ... linear systems of equations under certain subspace constraints. More specifically, simpler and yet better conditioned...

alabama
 Referenced in 10 articles
[sw09332]
 Augmented Lagrangian Adaptive Barrier Minimization Algorithm for optimizing smooth nonlinear objective functions with constraints. Linear...

ALPS
 Referenced in 13 articles
[sw00036]
 solving some sort of relaxation, usually Lagrangian. In this layer, the notion of global data ... objects associated with the variables and constraints is introduced. These global objects provide a connection...

DEGEN
 Referenced in 1 article
[sw07626]
 convergence of augmented Lagrangian methods applied to optimization problems with degenerate constraints, including problems with ... properties of the augmented Lagrangian methods on problems with degenerate constraints, with a special emphasis ... feasible set (which is weaker than constraint qualifications), assuming that the iterates have some modest ... general constraint qualifications that are suitable for convergence of the augmented Lagrangian methods, such...

SALE3D
 Referenced in 11 articles
[sw23716]
 calculation of flows far subsonic without stringent constraints on the time step. In addition ... moved with the fluid in Lagrangian fashion or held fixed in an Eulerian manner...

GKNAP
 Referenced in 1 article
[sw30687]
 maximized while all the m constraints are satisfied. The implementation is similar ... significantly different. It uses Lagrangian multipliers as constraint weights and compared to the paper...

NLPIP
 Referenced in 2 articles
[sw13334]
 Jacobian of the constraints as well es the Hessian of the Lagrangian ... over 5 million variables and 2.5 million constraints...

OPALQP
 Referenced in 7 articles
[sw04847]
 constraint normals, the use of limited memory updates for approximating the Hessian of the Lagrangian...

BiCePS
 Referenced in 6 articles
[sw06321]
 solving some sort of relaxation, usually Lagrangian. In this layer, the notion of global data ... objects associated with the variables and constraints is introduced. These global objects provide a connection...

BaPCod
 Referenced in 12 articles
[sw09871]
 formulation; the user specifies which of these constraints and variables define the subsystems on which ... columns, their reduced cost, pricing problem, or Lagrangian bound; a default column generation procedure...

CoMISo
 Referenced in 2 articles
[sw12777]
 effort as a proper elimination of the constraints and the necessary reindexing is taken care ... difference to popular constraining techniques such as Lagrangian Multipliers, which require no reindexning (but unfortunately ... systems), is that CoMISo efficiently eliminates the constraints from the system matrix, yielding a smaller...

RAVE
 Referenced in 1 article
[sw26659]
 technique. Kinematic constraints are taken into account via the Lagrangian formalism. Finally, the toolkit also...