
Anderson
 Referenced in 56 articles
[sw15192]
 mathematics and numerical analysis communities, this method has received relatively little attention from these communities ... Anderson acceleration to quasiNewton (secant updating) methods and extended it to define a broader...

rgenoud
 Referenced in 26 articles
[sw08657]
 with derivativebased (Newton or quasiNewton) methods to solve difficult optimization problems. Genoud...

NLEIGS
 Referenced in 27 articles
[sw22547]
 This iterative method, called fully rational Krylov method for nonlinear eigenvalue problems (abbreviated as NLEIGS ... rational interpolation and generalizes the Newton rational Krylov method proposed in [R. Van Beeumen ... particularly suited for the rational Krylov method. A new approach for the computation of rational ... computational cost comparable to the Newton rational Krylov method but converges more reliably, in particular...

OPT++
 Referenced in 20 articles
[sw05203]
 simulation. Currently, OPT++ includes the classic Newton methods, a nonlinear interiorpoint method, parallel direct...

nleqslv
 Referenced in 19 articles
[sw11617]
 equations using a Broyden or a Newton method with a choice of global strategies such...

RootSolve
 Referenced in 18 articles
[sw08339]
 linear equations by the NewtonRaphson method, (3) estimate steadystate conditions of a system ... banded or sparse form, using the NewtonRaphson method, or by dynamically running, (4) solve...

AHFinderDirect
 Referenced in 25 articles
[sw04972]
 angular grid points) by Newton’s method, using a `symbolic differentiation’ technique to compute...

SNOPT
 Referenced in 495 articles
[sw02300]
 scale constrained optimization. Sequential quadratic programming (SQP) methods have proved highly effective for solving constrained ... based on a limitedmemory quasiNewton approximation to the Hessian of the Lagrangian...

TRESNEI
 Referenced in 14 articles
[sw05208]
 implementation of a trustregion GaussNewton method for boundconstrained nonlinear leastsquares problems...

CVODE
 Referenced in 52 articles
[sw04947]
 CVODE are variableorder, variablestep multistep methods. For nonstiff problems, CVODE includes the Adams ... nonstiff systems, and various versions of Newton iteration. In the cases of a direct linear ... banded), the Newton iteration is a Modified Newton iteration, in that the Jacobian is fixed ... Krylov method as the linear solver, the iteration is an Inexact Newton iteration, using...

QUIC
 Referenced in 19 articles
[sw11795]
 information, our algorithm is based on Newton’s method and employs a quadratic approximation...

Poblano
 Referenced in 9 articles
[sw04186]
 HestenesStiefel), a limitedmemory quasiNewton method using BFGS updates to approximate secondorder ... derivative information, and a truncated Newton method using finite differences to approximate secondorder derivative...

TenEig
 Referenced in 19 articles
[sw14671]
 solve tensor eigenproblems. With proper implementation, these methods can find all equivalence classes of isolated ... combines a heuristic approach and a Newton homotopy method to extract real generalized eigenpairs from...

TFETI
 Referenced in 8 articles
[sw20642]
 step elastoplastic problem by the finite element method in space. The latter results ... strongly monotone operator. The semismooth Newton method is applied to solve this nonlinear system. Corresponding ... Newton iterations are solved in parallel by the above mentioned TFETI domain decomposition method ... local quadratic convergence of the semismooth Newton method is observed...

NAPHEAP
 Referenced in 8 articles
[sw23701]
 guess is computed using the variable fixing method or is supplied by the user ... hybrid algorithm NAPHEAP that uses a Newtontype method (variable fixing method, secant method ... Newton’s method) to bracket a root, followed by a heapbased monotone break point ... search, can be faster than a Newtontype method by itself, as demonstrated...

intpakX
 Referenced in 11 articles
[sw00445]
 applications, verified computation of zeroes (Interval Newton Method) with the possibility to find all zeroes...

IMRO
 Referenced in 7 articles
[sw20465]
 IMRO: A proximal quasiNewton method for solving ℓ 1 regularized least squares problems ... present a proximal quasiNewton method in which the approximation of the Hessian...

KINSOL
 Referenced in 7 articles
[sw04323]
 Saad. KINSOL employs the Inexact Newton method. As this solver is intended mainly ... CGStab, and TFQMR. These are Krylov methods, and are implemented with scaling and preconditioning ... nonlinear iteration is a Modified Newton method. In addition to the basic Krylov method modules...

CONOPT
 Referenced in 162 articles
[sw02791]
 algorithm with the popular methods based on sequential linearized subproblems forms the basis for discussions ... basis factorizations, search directions, linesearches, and Newton iterations. The paper contains performance statistics...

DiSCO
 Referenced in 8 articles
[sw28439]
 based on an inexact damped Newton method, where the inexact Newton steps are computed...