
SNOPT
 Referenced in 495 articles
[sw02300]
 semidefinite QP solver. It is based on a limitedmemory quasiNewton approximation...

CVODE
 Referenced in 51 articles
[sw04947]
 CVODE is a solver for stiff and nonstiff ordinary differential equation (ODE) systems (initial value ... nonstiff systems, and various versions of Newton iteration. In the cases ... direct linear solver (dense or banded), the Newton iteration is a Modified Newton iteration ... method as the linear solver, the iteration is an Inexact Newton iteration, using the current...

INTOPT_90
 Referenced in 304 articles
[sw04705]
 library packages for interval arithmetic and the solvers for the above mentioned problems in FORTRAN ... automatic differentiation and code list generation, interval Newton method, and a short glance...

RESINVM3D
 Referenced in 9 articles
[sw12866]
 have implemented an inexact GaussNewton solver, with the model update being calculated using...

VODE
 Referenced in 191 articles
[sw01005]
 very similar to that of the ODEPACK solver LSODE. Also new algorithms for initial stepsize ... solution of the implicit equations by quasi Newton methods. In this paper the authors consider...

NITSOL
 Referenced in 88 articles
[sw00623]
 nonlinear systems. The framework is an inexact Newton method globalized by backtracking. Trial steps ... algorithm is implemented in a Fortran solver called NITSOL that is robust yet easy...

BOUT
 Referenced in 8 articles
[sw06564]
 recently developed NewtonKrylov numerical solver, PVODE. Results show nearly an order of magnitude speedup ... using the fully implicit NewtonKrylov solver compared to an Adams predictor corrector. The turbulent...

KINSOL
 Referenced in 7 articles
[sw04323]
 nonlinear algebraic systems based on NewtonKrylov solver technology. It is newly rewritten ... Saad. KINSOL employs the Inexact Newton method. As this solver is intended mainly ... solvers for the linear systems. In this case the nonlinear iteration is a Modified Newton...

Openpipeflow
 Referenced in 9 articles
[sw30456]
 Openpipeflow Navier–Stokes solver. Pipelines are used in a huge range of industrial processes involving ... Armed with parallel MPI, Arnoldi and Newton–Krylov solvers, the Openpipeflow code can be used...

PENSDP
 Referenced in 21 articles
[sw05119]
 modified barrier method using iterative solvers The limiting factors of secondorder methods for large ... storage and factorization of the Newton matrix. For a particular algorithm based on the modified ... barrier method, we propose to use iterative solvers instead of the routinely used direct factorization ... propose to avoid explicit calculation of the Newton matrix either by an implicit scheme...

LYAPACK
 Referenced in 56 articles
[sw12624]
 control theory. An efficient ADIbased solver for large Lyapunov equations is the “workhorse ... model reduction methods and modifications of the Newton method for the solution of large Riccati...

EliAD
 Referenced in 3 articles
[sw07477]
 Newton Solvers with EliAD: An Elimination Automatic Differentiation Tool We present a matrix interpretation...

AQUASOL
 Referenced in 3 articles
[sw17113]
 solving the DPBL equation. This solver uses a truncated Newton method with a multigrid preconditioner ... propose two variants, a quasiNewton solver based on a simplified, inexact Jacobian...

HQP/OMUSES
 Referenced in 9 articles
[sw05158]
 Schittkowski’s SQP with Newtontype barrier QP solver, needs Tcl C++, SIF, or ASCEND...

qpDUNES
 Referenced in 13 articles
[sw13238]
 qpDUNES is quadratic programming solver targeted at blockbanded convex QPs that arise in optimal ... stands for dual Newton strategy, the novel solution methodology which this solver implements. See this...

TRESNEI
 Referenced in 14 articles
[sw05208]
 TRESNEI, a MATLAB trustregion solver for systems of nonlinear equalities and inequalities The Matlab ... GaussNewton method for boundconstrained nonlinear leastsquares problems is presented. The solver, called...

JOREK
 Referenced in 6 articles
[sw13477]
 linear solver based on the Inexact Newton method including adaptive time stepping. We demonstrate that...

MatrixProGSS
 Referenced in 1 article
[sw18732]
 accelerate their custom nonlinear Newton solver. Crosslight has since been granted an exclusive license...

IPACS
 Referenced in 1 article
[sw33423]
 efficient quasimonolithic semismooth Newton solver, local mesh adaptivity, and parallel implementations allow...

UEDGE
 Referenced in 1 article
[sw06563]
 recently developed NewtonKrylov numerical solver, PVODE. Results show nearly an order of magnitude speedup ... using the fully implicit NewtonKrylov solver compared to an Adams predictor corrector. The turbulent...