• rgenoud

  • Referenced in 32 articles [sw08657]
  • with derivative-based (Newton or quasi-Newton) methods to solve difficult optimization problems. Genoud...
  • INTBIS

  • Referenced in 31 articles [sw00442]
  • mathematical certainty. Though based on interval Newton methods, it is self-contained. It allows various...
  • NLEIGS

  • Referenced in 34 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 27 articles [sw11617]
  • equations using a Broyden or a Newton method with a choice of global strategies such...
  • QUIC

  • Referenced in 34 articles [sw11795]
  • information, our algorithm is based on Newton’s method and employs a quadratic approximation...
  • RootSolve

  • Referenced in 20 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...
  • OPT++

  • Referenced in 20 articles [sw05203]
  • simulation. Currently, OPT++ includes the classic Newton methods, a nonlinear interior-point method, parallel direct...
  • GLLAMM

  • Referenced in 62 articles [sw06517]
  • version of the Newton Raphson Algorithm (ml with method d0). In the case of discrete...
  • AHFinderDirect

  • Referenced in 29 articles [sw04972]
  • angular grid points) by Newton’s method, using a `symbolic differentiation’ technique to compute...
  • Poblano

  • Referenced in 12 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...
  • CVODE

  • Referenced in 62 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...
  • TenEig

  • Referenced in 25 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...
  • TRESNEI

  • Referenced in 16 articles [sw05208]
  • implementation of a trust-region Gauss-Newton method for bound-constrained nonlinear least-squares problems...
  • SNOPT

  • Referenced in 551 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...
  • NAPHEAP

  • Referenced in 11 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...
  • NSOIA

  • Referenced in 40 articles [sw36301]
  • compromise between the Newton-Raphson algorithm and the method of steepest descents applied to minimize...
  • CEDRES++

  • Referenced in 10 articles [sw18056]
  • finite element method and a boundary element method gives consistent numerical solutions for equilibrium problems ... unbounded domains. We formulate a new Newton method for the discretized non-linear problem ... including the free plasma boundary. The Newton method guarantees fast convergence and is the main...
  • DiSCO

  • Referenced in 12 articles [sw28439]
  • based on an inexact damped Newton method, where the inexact Newton steps are computed...
  • 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...
  • IMRO

  • Referenced in 9 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...