
alphaCertified
 Referenced in 47 articles
[sw07351]
 uses estimates related to the convergence of Newton’s method to certify that Newton iterations...

PROC NLMIXED
 Referenced in 65 articles
[sw11039]
 maximization; the default is a dual quasiNewton algorithm. Successful convergence of the optimization problem...

SSVM
 Referenced in 63 articles
[sw12678]
 Smooth Support Vector Machine (SSVM). A fast NewtonArmijo algorithm for solving the SSVM converges...

Tensorlab
 Referenced in 63 articles
[sw14255]
 multilinear rank approximation (LMLRA), complex optimization: quasiNewton and nonlinearleast squares optimization with complex...

GLLAMM
 Referenced in 61 articles
[sw06517]
 likelihood using Stata’s version of the Newton Raphson Algorithm (ml with method...

LYAPACK
 Referenced in 61 articles
[sw12624]
 model reduction methods and modifications of the Newton method for the solution of large Riccati...

HIFOO
 Referenced in 57 articles
[sw05188]
 nonsmooth, nonconvex optimization based on quasiNewton updating and gradient sampling...

LOCA
 Referenced in 32 articles
[sw04717]
 designed to drive application codes that use Newton’s method to locate steadystate solutions ... additional equations that describe the bifurcation. A Newton method is then formulated for this augmented ... steady state problem to calculate the Newton updates for the augmented system. This greatly simplifies ... linear system that an application code using Newton’s method will already have invested...

MINPACK2
 Referenced in 55 articles
[sw04751]
 limited memory quasi Newton method. Directories contain software, drivers and manuals. (dcsrch.f, the stepsize...

ADMAT
 Referenced in 31 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 ... case), the Hessian matrix, and possibly the Newton step in addition to the evaluation...

na10
 Referenced in 49 articles
[sw11511]
 fori=1,...,q. The computation of Newton’s correction is performed in such...

PREMIX
 Referenced in 35 articles
[sw27815]
 discuss the finite difference discretization and the Newton method for solving the boundary value problem ... invoking time integration procedures when the Newton method has convergence difficulties. The program runs...

HOMPACK90
 Referenced in 46 articles
[sw00412]
 ordinary differential equation based, normal flow, quasiNewton augmented Jacobian matrix – are provided for tracking...

rgenoud
 Referenced in 32 articles
[sw08657]
 combines evolutionary search algorithms with derivativebased (Newton or quasiNewton) methods to solve difficult...

NLEIGS
 Referenced in 30 articles
[sw22547]
 linear rational interpolation and generalizes the Newton rational Krylov method proposed in [R. Van Beeumen ... computational cost comparable to the Newton rational Krylov method but converges more reliably, in particular...

NSOIA
 Referenced in 40 articles
[sw36301]
 equations is a compromise between the NewtonRaphson algorithm and the method of steepest descents...

ALCON
 Referenced in 36 articles
[sw05315]
 particular, for the corrector iteration the GaussNewton method is used where the QRfactorization...

MIRKDC
 Referenced in 36 articles
[sw07159]
 output, and discusses several implementation issues (modified Newton iteration, use of defect control instead...

PENSDP
 Referenced in 24 articles
[sw05119]
 storage and factorization of the Newton matrix. For a particular algorithm based on the modified ... propose to avoid explicit calculation of the Newton matrix either by an implicit scheme...

INTBIS
 Referenced in 31 articles
[sw00442]
 with mathematical certainty. Though based on interval Newton methods, it is selfcontained. It allows...