• Anderson

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

  • Referenced in 26 articles [sw08657]
  • with derivative-based (Newton or quasi-Newton) 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 interior-point 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 Newton-Raphson method, (3) estimate steady-state conditions of a system ... banded or sparse form, using the Newton-Raphson 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 limited-memory quasi-Newton approximation to the Hessian of the Lagrangian...
  • TRESNEI

  • Referenced in 14 articles [sw05208]
  • implementation of a trust-region Gauss-Newton method for bound-constrained nonlinear least-squares problems...
  • CVODE

  • Referenced in 52 articles [sw04947]
  • CVODE are variable-order, variable-step 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]
  • Hestenes-Stiefel), a limited-memory quasi-Newton method using BFGS updates to approximate second-order ... derivative information, and a truncated Newton method using finite differences to approximate second-order 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 Newton-type method (variable fixing method, secant method ... Newton’s method) to bracket a root, followed by a heap-based monotone break point ... search, can be faster than a Newton-type 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 quasi-Newton method for solving ℓ 1 -regularized least squares problems ... present a proximal quasi-Newton 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, line-searches, 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...