
KELLEY
 Referenced in 617 articles
[sw04829]
 convergence of Newton’s method, inexact Newton methods, and the GaussNewton method ... close to a solution. par The BFGS method is studied in chapter 4. A local ... implementation details are discussed. Other quasiNewton methods are sketched. The last chapter...

GQTPAR
 Referenced in 320 articles
[sw07451]
 this algorithm in a trust region Newton’s method. In particular, we prove that under ... reasonable assumptions the sequence generated by Newton’s method has a limit point which satisfies...

INTOPT_90
 Referenced in 305 articles
[sw04705]
 gives a survey of interval arithmetic based methods for solving systems of equations and global ... differentiation and code list generation, interval Newton method, and a short glance at the topological ... branch and bound, infeasibility test, interval Newton algorithm applied to the John conditions and computationally...

NewtonLib
 Referenced in 282 articles
[sw04796]
 Software repository for Peter Deuflhards Book ”Newton Methods for Nonlinear Problems  Affine Invariance and Adaptive ... monograph presents a scheme to construct adaptive Newtontype algorithms in close connection with...

tn
 Referenced in 136 articles
[sw05140]
 exploited to define a modified Newton method which can be applied to problems that ... problem. The idea of a truncated Newton method is to terminate the iterations earlier ... preconditioned truncated Newton method is described that defines a search direction which interpolates between ... show the promising performance of truncated Newton methods...

VODE
 Referenced in 194 articles
[sw01005]
 implicit equations by quasi Newton methods. In this paper the authors consider also the fixed...

SQPlab
 Referenced in 161 articles
[sw05161]
 method invented in the midseventies, which can be viewed as the Newton approach applied ... other hand, as a Newton method, the SQP algorithm converges very rapidly, meaning that...

TRON
 Referenced in 111 articles
[sw04714]
 TRON is a trust region Newton method for the solution of large boundconstrained optimization...

CMAES
 Referenced in 109 articles
[sw05063]
 covariance matrix adaptation (CMA) is a method to update the covariance matrix of this distribution ... inverse Hessian matrix in the QuasiNewton method in classical optimization. In contrast to most...

NITSOL
 Referenced in 93 articles
[sw00623]
 systems. The framework is an inexact Newton method globalized by backtracking. Trial steps are obtained...

levmar
 Referenced in 58 articles
[sw04809]
 steepest descent and the GaussNewton method. When the current solution is far from ... algorithm behaves like a steepest descent method: slow, but guaranteed to converge. When the current ... correct solution, it becomes a GaussNewton method...

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

MINPACK2
 Referenced in 54 articles
[sw04751]
 limited memory quasi Newton method. Directories contain software, drivers and manuals. (dcsrch.f, the stepsize...

PREMIX
 Referenced in 34 articles
[sw27815]
 finite difference discretization and the Newton method for solving the boundary value problem. Global convergence ... invoking time integration procedures when the Newton method has convergence difficulties. The program runs...

TNPACK
 Referenced in 42 articles
[sw00970]
 large number of variables. Truncated Newton methods allow approximate, rather than exact, solutions ... Gradient algorithm (PCG) to solve approximately the Newton equations. The preconditioner M is factored ... this paper we briefly describe the method and provide details for program usage...

LOCA
 Referenced in 30 articles
[sw04717]
 drive application codes that use Newton’s method to locate steadystate solutions to nonlinear ... equations that describe the bifurcation. A Newton method is then formulated for this augmented system ... steady state problem to calculate the Newton updates for the augmented system. This greatly simplifies ... system that an application code using Newton’s method will already have invested in. Only...

SDPNAL+
 Referenced in 43 articles
[sw13239]
 SDPNAL+: a majorized semismooth NewtonCG augmented Lagrangian method for semidefinite programming with nonnegative constraints.In ... present a majorized semismooth NewtonCG augmented Lagrangian method, called SDPNAL+, for semidefinite programming ... employing a majorized semismooth NewtonCG augmented Lagrangian method coupled with a convergent 3block...

alphaCertified
 Referenced in 45 articles
[sw07351]
 estimates related to the convergence of Newton’s method to certify that Newton iterations will...

Anderson
 Referenced in 76 articles
[sw15192]
 mathematics and numerical analysis communities, this method has received relatively little attention from these communities ... Anderson acceleration to quasiNewton (secant updating) methods and extended it to define a broader...

ALCON
 Referenced in 35 articles
[sw05315]
 Pathfollowing Beyond Critical Points The paper discusses methods for the computation of solution paths ... corrector iteration the GaussNewton method is used where the QRfactorization of the Jacobian...