• SNOPT

  • Referenced in 495 articles [sw02300]
  • semidefinite QP solver. It is based on a limited-memory quasi-Newton 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 Gauss-Newton 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 Newton-Krylov numerical solver, PVODE. Results show nearly an order of magnitude speedup ... using the fully implicit Newton-Krylov solver compared to an Adams predictor corrector. The turbulent...
  • KINSOL

  • Referenced in 7 articles [sw04323]
  • nonlinear algebraic systems based on Newton-Krylov 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 second-order 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 ADI-based 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 quasi-Newton solver based on a simplified, inexact Jacobian...
  • HQP/OMUSES

  • Referenced in 9 articles [sw05158]
  • Schittkowski’s SQP with Newton-type barrier QP solver, needs Tcl C++, SIF, or ASCEND...
  • qpDUNES

  • Referenced in 13 articles [sw13238]
  • qpDUNES is quadratic programming solver targeted at block-banded 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 trust-region solver for systems of nonlinear equalities and inequalities The Matlab ... Gauss-Newton method for bound-constrained nonlinear least-squares 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...
  • MatrixPro-GSS

  • Referenced in 1 article [sw18732]
  • accelerate their custom non-linear Newton solver. Crosslight has since been granted an exclusive license...
  • IPACS

  • Referenced in 1 article [sw33423]
  • efficient quasi-monolithic semi-smooth Newton solver, local mesh adaptivity, and parallel implementations allow...
  • UEDGE

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