
INTBIS
 Referenced in 31 articles
[sw00442]
 mathematical certainty. Though based on interval Newton methods, it is selfcontained. It allows various...

rgenoud
 Referenced in 30 articles
[sw08657]
 with derivativebased (Newton or quasiNewton) methods to solve difficult optimization problems. Genoud...

NLEIGS
 Referenced in 29 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...

nleqslv
 Referenced in 22 articles
[sw11617]
 equations using a Broyden or a Newton method with a choice of global strategies such...

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

RootSolve
 Referenced in 19 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...

GLLAMM
 Referenced in 61 articles
[sw06517]
 version of the Newton Raphson Algorithm (ml with method d0). In the case of discrete...

QUIC
 Referenced in 26 articles
[sw11795]
 information, our algorithm is based on Newton’s method and employs a quadratic approximation...

Poblano
 Referenced in 11 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...

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

SNOPT
 Referenced in 527 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...

NSOIA
 Referenced in 40 articles
[sw36301]
 compromise between the NewtonRaphson algorithm and the method of steepest descents applied to minimize...

TRESNEI
 Referenced in 15 articles
[sw05208]
 implementation of a trustregion GaussNewton method for boundconstrained nonlinear leastsquares problems...

TenEig
 Referenced in 23 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...

CVODE
 Referenced in 57 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...

TFETI
 Referenced in 9 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...

DiSCO
 Referenced in 11 articles
[sw28439]
 based on an inexact damped Newton method, where the inexact Newton steps are computed...

NAPHEAP
 Referenced in 9 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...

IMRO
 Referenced in 8 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...

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