
ADMIT
 Referenced in 22 articles
[sw02687]
 enables the computation of sparse Jacobian and Hessian matrices, using automatic differentiation technology, from...

CHOMPACK
 Referenced in 12 articles
[sw04593]
 chordal matrices, evaluation of the gradient, Hessian, and inverse Hessian of the logarithmic barrier function ... chordal sparsity pattern, and evaluation of gradient, Hessian, and inverse Hessian of the conjugate barrier...

SQOPT
 Referenced in 18 articles
[sw07860]
 uses a twophase, activeset, reducedHessian method. It is most efficient on problems...

Sundance
 Referenced in 18 articles
[sw10599]
 obtain operators such as Jacobians and Hessians for use in optimization algorithms...

WORHP
 Referenced in 15 articles
[sw10824]
 Goldfarb and Shanno (BFGS) update techniques for Hessian approximations, and sparse linear algebra. Furthermore...

hess_pat
 Referenced in 8 articles
[sw11167]
 Computing sparse Hessians with automatic differentiation. A new approach for computing a sparsity pattern ... Hessian is presented: nonlinearity information is propagated through the function evaluation yielding the nonzero structure ... matrix. To evaluate the product of the Hessian and the seed matrix, a vector version...

PADRE2
 Referenced in 13 articles
[sw00667]
 compute the gradient, the product of the Hessian matrix and a constant vector...

nlr
 Referenced in 9 articles
[sw05244]
 secondorder part of the Hessian, and adaptively switches between a GaussNewton ... augmented Hessian approximation. GaussNewton steps are computed using a corrected seminormal equations approach...

dr
 Referenced in 11 articles
[sw14718]
 using slicing (methods SAVE and SIR), Principal Hessian Directions (phd, using residuals and the response...

KPP
 Referenced in 10 articles
[sw10179]
 structures of the Jacobian and of the Hessian. A set of integration methods was added...

mdp
 Referenced in 9 articles
[sw14129]
 Analysis, Slow Feature Analysis), manifold learning methods ([Hessian] Locally Linear Embedding), several classifiers, probabilistic methods...

MUSCOP
 Referenced in 6 articles
[sw06143]
 grid approximation for the Lagrangian Hessian which fits well in the twogrid NewtonPicard ... exact Lagrangian Hessian. We show that the quality of the fine grid controls the accuracy...

OPALQP
 Referenced in 8 articles
[sw04847]
 limited memory updates for approximating the Hessian of the Lagrangian, and the use of exact...

NAPHEAP
 Referenced in 8 articles
[sw23701]
 that is convergent even when the objective Hessian is not strictly positive definite. The hybrid...

QUCON
 Referenced in 5 articles
[sw09676]
 computational strategy based on a globalized reduced Hessian Krylov–Newton scheme and a discretizebefore ... formulation of accurate gradients and a symmetric Hessian. Robustness of the resulting Newton approach...

trustOptim
 Referenced in 5 articles
[sw23055]
 Region Optimization for Nonlinear Functions with Sparse Hessians. Trust region algorithm for nonlinear optimization. Efficient ... when the Hessian of the objective function is sparse (i.e., relatively few nonzero crosspartial...

FEMorph
 Referenced in 5 articles
[sw36217]
 Weak and strong form shape hessians and their automatic generation. By analyzing variational problems formulated ... repeated application leads to symmetric shape Hessians. The resulting expression can then be processed...

IMRO
 Referenced in 7 articles
[sw20465]
 method in which the approximation of the Hessian has the special format of “identity minus...

QPSOL
 Referenced in 7 articles
[sw26106]
 active at the solution. QPSOL treats the Hessian and general constraints as dense matrices...

NDL
 Referenced in 6 articles
[sw10433]
 constraints are imposed on the variables. The Hessian may be approximated either from function...