
SNOPT
 Referenced in 518 articles
[sw02300]
 constraints. Here we consider problems with general inequality constraints (linear and nonlinear). We assume that ... derivatives are available and that the constraint gradients are sparse. We discuss an SQP algorithm ... based on a limitedmemory quasiNewton approximation to the Hessian of the Lagrangian...

fhi98PP
 Referenced in 10 articles
[sw17871]
 localdensity approximation and the generalized gradient approximation for exchange and correlation are implemented...

WIEN97
 Referenced in 10 articles
[sw14850]
 improved version of the generalized gradient approximation (GGA). It is an allelectron scheme including...

KELLEY
 Referenced in 610 articles
[sw04829]
 clarity and brevity rather than complete generality and confine our scope to algorithms that ... into two parts. The first part, occupying approximately 100 pages, is devoted to the optimization ... second part of the book, which is approximately 50 pages long, deals with the optimization ... cases the noise often introduces artificial minimizers. Gradient information, even if available, cannot expected...

ve08
 Referenced in 144 articles
[sw05141]
 minimizer x *, in which case conjugate gradient and limited memory variable metric methods were found ... work quite well. However, in general, the performance of these methods is rather unpredictable since ... Therefore we pursue the traditional approach of approximating f by local quadratic models, which...

lobpcg.m
 Referenced in 126 articles
[sw24008]
 algorithm, we advocate the standard preconditioned conjugate gradient method for finding an eigenvector ... show numerically that the LOBPCG method provides approximations to first eigenpairs of about the same ... expensive global optimization method on the same generalized block Krylov subspace. We propose...

PyFLOSIC
 Referenced in 1 article
[sw33445]
 within the local density approximation (LDA), generalizedgradient approximation (GGA), and metaGGA provided...

BLOPEX
 Referenced in 27 articles
[sw04024]
 with the Locally Optimal Block Preconditioned Conjugate Gradient Method (LOBPCG). Its main features ... generalized eigenproblems; a userdefined symmetric positive preconditioner; robustness with respect to random initial approximations...

FREEFLOW
 Referenced in 23 articles
[sw04253]
 features. The fluid domain can be quite general and need only be connected. With ... conjugate gradient solver is used to invert the discrete Poisson equation. An accurate approximation...

HelFEM
 Referenced in 0 articles
[sw26735]
 local spin density approximation (LDA), generalized gradient approximation (GGA), and metaGGA levels of theory...

GPGCD
 Referenced in 9 articles
[sw06224]
 GPGCD method, the problem of approximate GCD is transferred to a constrained minimization problem, then ... Newton method, which is a generalization of the gradientprojection method, by searching the solution...

ROMS
 Referenced in 29 articles
[sw30140]
 Ocean Modeling System, a member of a general class of threedimensional, freesurface, terrain ... preservation properties for tracers; redefined barotropic pressuregradient terms to account for local variations ... basin. The combination of moderateorder spatial approximations, enhanced conservation properties, and quasimonotone advection...

glmmTMB
 Referenced in 3 articles
[sw31739]
 using Template Model Builder. Fit linear and generalized linear mixed models with various extensions, including ... integrated out using the Laplace approximation. Gradients are calculated using automatic differentiation...

TFad
 Referenced in 10 articles
[sw07478]
 efficiently and accurately than conventional finitedifference approximations. AD requires sourcecode modifications, which ... used iteratively to solve nonlinear equations. When gradients are required (say, for optimization ... manually assembling the gradient pieces  semiautomatic differentiation  can deliver gradients efficiently and accurately. This paper ... simple operatoroverloading implementation specialized for gradient computations, and compares the implementations on some mesh...

GPyTorch
 Referenced in 5 articles
[sw35483]
 computing hardware. We present an efficient and general approach to GP inference based on Blackbox ... modified batched version of the conjugate gradients algorithm to derive all terms for training ... Adapting this algorithm to scalable approximations and complex GP models simply requires a routine...

DNSPLIN1
 Referenced in 2 articles
[sw01235]
 Fortran77 code for constructing discrete approximations to nonparametric interpolating nonlinear spline curves. Our approach ... method with a Sobolev gradient in place of the standard gradient. It serves ... demonstration of the Sobolev gradient method, which is much more generally applicable. The effectiveness...

HIBITS
 Referenced in 4 articles
[sw30626]
 logistic regression, generalized additive mixed model, models for ordinal data, gradient boosting, decision tree ... handle computational complexity, we utilize Laplace approximation, golden section search and successive parabolic interpolation. With...

ComPASS
 Referenced in 3 articles
[sw13577]
 general unstructured polyhedral meshes (in a general sense with possibly non planar faces ... parabolic problem using the Vertex Approximate Gradient finite volume spatial discretization with both cell...

FLUSEPA
 Referenced in 1 article
[sw20791]
 quasiGreen gradient operator which ensures consistency on general meshes. In addition, a highorder ... point quadrature formula, based on highorder approximations of the successive derivatives of the solution...

BTN
 Referenced in 3 articles
[sw00094]
 parallel computer. BTN is a generalpurpose algorithm, capable of solving problems with a large ... evaluate the objective function and its gradient vector of first derivatives. The algorithm is based ... Newton methods obtain the search direction by approximately solving the Newton equations via some iterative...