• tn

  • Referenced in 110 articles [sw05140]
  • exploited to define a modified Newton method which can be applied to problems that ... possible to compute a negative-curvature direction at a stationary point. The above mentioned modified ... preconditioned truncated Newton method is described that defines a search direction which interpolates between ... gradient-type method and a modified Newton direction. Numerical results are given which show...
  • CONOPT

  • Referenced in 147 articles [sw02791]
  • code: basis factorizations, search directions, line-searches, and Newton iterations. The paper contains performance statistics...
  • CVODE

  • Referenced in 44 articles [sw04947]
  • various versions of Newton iteration. In the cases of a direct linear solver (dense ... linear solver, the iteration is an Inexact Newton iteration, using the current Jacobian (through matrix ... serial NVECTOR module, CVODE provides both direct (dense and band) solvers and three preconditioned Krylov...
  • ADMAT

  • Referenced in 26 articles [sw04864]
  • first and second derivatives, and sometimes the Newton step, is often a dominant step ... Hessians. Moreover, ADMAT 2.0 can directly calculate Newton steps for nonlinear systems, often with great...
  • SCALCG

  • Referenced in 79 articles [sw08453]
  • defining the search direction. This modification is based on the quasi-Newton BFGS updating formula...
  • NewtonKKTqp

  • Referenced in 9 articles [sw04820]
  • quadratic programming problems. They are of the Newton-KKT variety in that (much like ... primal-dual algorithms for linear programming) search directions for the “primal” variables and the Karush ... components of the Newton (or quasi-Newton) direction for the solution of the equalities ... consider a simple Newton-KKT affine-scaling algorithm. Then, a ” barrier ” version of the same...
  • Helios

  • Referenced in 11 articles [sw01440]
  • optimization problems. Helios statements are compiled to Newton, a constraint logic programming language using constraint ... their efficiency is comparable to direct programming in Newton. This paper presents the design ... other modeling languages and direct programming in Newton...
  • KELLEY

  • Referenced in 554 articles [sw04829]
  • implementation details are discussed. Other quasi-Newton methods are sketched. The last chapter ... noise level in the function. Direct search algorithms, including the Nelder-Mead, multidirectional search...
  • QSPLINE

  • Referenced in 4 articles [sw07307]
  • matrix updating technique for computing Newton directions and a correction strategy for robust reduction ... spline when line search in a Newton direction fails. We have tested the code...
  • TRON

  • Referenced in 100 articles [sw04714]
  • TRON is a trust region Newton method for the solution of large bound-constrained optimization ... incomplete Cholesky factorization to generate a direction, and a projected search to compute the step...
  • OPT++

  • Referenced in 16 articles [sw05203]
  • includes the classic Newton methods, a nonlinear interior-point method, parallel direct search, generating...
  • SDPNAL+

  • Referenced in 16 articles [sw13239]
  • semismooth Newton-CG augmented Lagrangian method coupled with a convergent 3-block alternating direction method...
  • PENSDP

  • Referenced in 18 articles [sw05119]
  • storage and factorization of the Newton matrix. For a particular algorithm based on the modified ... iterative solvers instead of the routinely used direct factorization techniques. The preconditioned conjugate gradient method ... propose to avoid explicit calculation of the Newton matrix either by an implicit scheme...
  • LOCA

  • Referenced in 21 articles [sw04717]
  • function of system parameters and the direct tracking of bifurcation points. LOCA (which is written ... designed to drive application codes that use Newton’s method to locate steady-state solutions...
  • BTN

  • Referenced in 3 articles [sw00094]
  • truncated-Newton method. Truncated-Newton methods obtain the search direction by approximately solving the Newton...
  • GSGPEs

  • Referenced in 7 articles [sw10779]
  • Hermite functions and direct minimization of the energy functional through a Newton-like method with...
  • OPTIMA

  • Referenced in 7 articles [sw25286]
  • direct search techniques, the steepest descend approach, trust region methods as well as Newton...
  • KINSOL

  • Referenced in 7 articles [sw04323]
  • Brown and Saad. KINSOL employs the Inexact Newton method. As this solver is intended mainly ... users with smaller systems, KINSOL also includes direct (dense and band) linear solvers ... case the nonlinear iteration is a Modified Newton method. In addition to the basic Krylov...
  • PADMOS

  • Referenced in 3 articles [sw13393]
  • BFGS to Newton’s method. PADMOS itself uses trust region approaches including directions of negative...
  • GUSTAF

  • Referenced in 4 articles [sw18113]
  • Gustaf: A quasi-newton nonlinear ADI FORTRAN IV program for solving the shallow-water equations ... documented which implements the nonlinear alternating direction implicit (ADI) method of Gustafsson ... this method a computationally efficient quasi-Newton method is used to solve, at each time...