
SQPlab
 Referenced in 160 articles
[sw05161]
 Newton approach applied to the optimality conditions of the optimization problem. Each iteration...

LAPACK
 Referenced in 1647 articles
[sw00503]
 reordering of the Schur factorizations and estimating condition numbers. Dense and banded matrices are handled ... innermost loops. These block operations can be optimized for each architecture to account...

INTOPT_90
 Referenced in 304 articles
[sw04705]
 many software details. The chapter on global optimization (40 pages) only admits equality constraints (within ... interval Newton algorithm applied to the John conditions and computationally executed proofs of the existence ... pioneering concept of 1987 (Nonlinear equations and optimization. Preprint.). The chapter about nondifferentiable problems...

BNDSCO
 Referenced in 49 articles
[sw07779]
 program for the numerical solution of optimal control problems. BNDSCO is used for the numerical ... solution of boundary value problems with switching conditions  a class of problems which mainly occurs ... connection with optimal control problems. Therefore, the most important necessary conditions for different types...

COMPASS
 Referenced in 37 articles
[sw03040]
 COMPASS converges to the set of local optimal solutions with probability 1 for both terminating ... partially constrained or unconstrained problems under mild conditions...

GQTPAR
 Referenced in 317 articles
[sw07451]
 algorithm is guaranteed to produce a nearly optimal solution in a finite number of iterations ... satisfies the first and second order necessary conditions for a minimizer of the objective function...

CG_DESCENT
 Referenced in 122 articles
[sw04813]
 whenever the line search fulfills the Wolfe conditions. This article studies the convergence behavior ... with other methods for largescale unconstrained optimization are given...

GMBACK
 Referenced in 12 articles
[sw02139]
 residual error norm as a stopping condition in an iterative process is that the error ... normwise backward error meets some optimality condition...

SDMINMAX
 Referenced in 12 articles
[sw36992]
 only points which satisfy weak necessary optimality conditions. In this work we define...

SCALCG
 Referenced in 102 articles
[sw08453]
 SCALCG – Scaled conjugate gradient algorithms for unconstrained optimization. In this work we present and analyze ... inexact Wolfe line search conditions. The best spectral conjugate gradient algorithm SCG by Birgin ... successive points. In very mild conditions it is shown that, for strongly convex functions ... consisting of 500 unconstrained optimization test problems, show that this new scaled conjugate gradient algorithm...

PESTO
 Referenced in 29 articles
[sw20864]
 composite convex optimization, including those performing explicit, projected, proximal, conditional and inexact (sub)gradient steps ... worstcase guarantees and explicit instances of optimization problems on which the algorithm reaches this ... several variants of fast proximal gradient, conditional gradient, subgradient and alternating projection methods. In particular ... standard worstcase guarantee for the conditional gradient method by more than a factor...

numerov
 Referenced in 29 articles
[sw24970]
 reduced set of order conditions, we derive an optimal constant coefficients method along with...

UPPAAL CORA
 Referenced in 9 articles
[sw25660]
 state satisfying some goal conditions. Optimal here means the path with the lowest accumulated cost ... conditions. This can significantly reduce the time required for finding a good or an optimal...

NAPACK
 Referenced in 71 articles
[sw11666]
 optimization. It may be used to solve linear systems, to estimate the condition number...

NEW9p
 Referenced in 27 articles
[sw24971]
 reduced set of order conditions, we derive an optimal constant coefficients method along with...

DFMO
 Referenced in 9 articles
[sw36997]
 functions; more specifically, we give new optimality conditions that take explicitly into account the bound...

RTRMC
 Referenced in 34 articles
[sw20435]
 recast the problem as an unconstrained optimization problem on a single Grassmann manifold. We then ... conditioning of the problem and we detail preconditioned versions of Riemannian optimization algorithms. The cost ... methods are well suited to solve badly conditioned matrix completion tasks...

POPMUSIC
 Referenced in 24 articles
[sw20508]
 POPMUSIC  partial optimization metaheuristic under special intensification conditions. This article introduces POPMUSIC, a metaheuristic ... been successfully applied to various combinatorial optimization problems. This metaheuristic is especially useful for designing...

DFLGEN
 Referenced in 7 articles
[sw36986]
 converge to points satisfying different necessary optimality conditions. We report a computational experience ... comparison with a wellknown derivativefree optimization software package, i.e., NOMAD...

ForWaRD
 Referenced in 53 articles
[sw12296]
 ForWaRD: FourierWavelet regularized deconvolution for illconditioned systems. We propose an efficient, hybrid Fourier ... smooth signals and images. We derive the optimal balance between the amount of Fourier ... wavelet regularization by optimizing an approximate meansquared error (MSE) metric and find that signals ... shrinkage. ForWaRD is applicable to all illconditioned deconvolution problems, unlike the purely waveletbased...