
rgenoud
 Referenced in 25 articles
[sw08657]
 with derivativebased (Newton or quasiNewton) methods to solve difficult optimization problems. Genoud...

Anderson
 Referenced in 48 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...

NLEIGS
 Referenced in 23 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 18 articles
[sw05203]
 simulation. Currently, OPT++ includes the classic Newton methods, a nonlinear interiorpoint method, parallel direct...

AHFinderDirect
 Referenced in 24 articles
[sw04972]
 angular grid points) by Newton’s method, using a `symbolic differentiation’ technique to compute...

nleqslv
 Referenced in 15 articles
[sw11617]
 equations using a Broyden or a Newton method with a choice of global strategies such...

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

SNOPT
 Referenced in 479 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...

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...

CVODE
 Referenced in 49 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...

RootSolve
 Referenced in 12 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...

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...

TenEig
 Referenced in 16 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...

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 156 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...

MUSCOP
 Referenced in 6 articles
[sw06143]
 periodic partial differential equations (PDEs). The proposed method features asymptotically optimal scale ... linear iterative splitting approach (LISA) within a Newtontype iteration with globalization on the basis ... level functions. We investigate the LISANewton method in the framework of Bock’s kappa ... estimators. Moreover we extend the inexact Newton method to an inexact sequential quadratic programming...

XTOR2F
 Referenced in 7 articles
[sw01030]
 stepping is handled by a semiimplicit method. Moderate changes were necessary to transform ... using the NITSOL library with NewtonKrylov methods of solution for nonlinear system of equations ... that on one hand the NewtonKrylov implicit method, when applied to basic one fluid ... issues beyond MHD. By testing the NewtonKrylov method with diamagnetic modifications on the dynamics...