
KELLEY
 Referenced in 628 articles
[sw04829]
 Chapter 2 studies the local convergence of Newton’s method, inexact Newton methods ... GaussNewton method for the solution of nonlinear least squares problems. Both, overdetermined and underdetermined ... implementation details are discussed. Other quasiNewton methods are sketched. The last chapter...

SNOPT
 Referenced in 531 articles
[sw02300]
 based on a limitedmemory quasiNewton approximation to the Hessian of the Lagrangian...

GQTPAR
 Referenced in 322 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 306 articles
[sw04705]
 automatic differentiation and code list generation, interval Newton method, and a short glance ... branch and bound, infeasibility test, interval Newton algorithm applied to the John conditions and computationally...

NewtonLib
 Referenced in 290 articles
[sw04796]
 NewtonLib. Software repository for Peter Deuflhards Book ”Newton Methods for Nonlinear Problems  Affine Invariance ... monograph presents a scheme to construct adaptive Newtontype algorithms in close connection with...

tn
 Referenced in 136 articles
[sw05140]
 Newtontype minimization via the Lanczos method This paper discusses the use of the linear ... 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...

SQPlab
 Referenced in 165 articles
[sw05161]
 seventies, which can be viewed as the Newton approach applied to the optimality conditions ... nonconvex. On the other hand, as a Newton method, the SQP algorithm converges very rapidly...

PLCP
 Referenced in 221 articles
[sw04795]
 predictor_corrector algorithm. It is based on Newton steps on the perturbed optimality system...

VODE
 Referenced in 196 articles
[sw01005]
 solution of the implicit equations by quasi Newton methods. In this paper the authors consider...

CONOPT
 Referenced in 167 articles
[sw02791]
 basis factorizations, search directions, linesearches, and Newton iterations. The paper contains performance statistics...

NITSOL
 Referenced in 96 articles
[sw00623]
 introduce a welldeveloped Newton iterative (truncated Newton) algorithm for solving largescale nonlinear systems ... framework is an inexact Newton method globalized by backtracking. Trial steps are obtained using...

CMAES
 Referenced in 114 articles
[sw05063]
 inverse Hessian matrix in the QuasiNewton method in classical optimization. In contrast to most...

TRON
 Referenced in 113 articles
[sw04714]
 TRON is a trust region Newton method for the solution of large boundconstrained optimization...

SCALCG
 Referenced in 105 articles
[sw08453]
 This modification is based on the quasiNewton BFGS updating formula. The computational scheme...

CVODE
 Referenced in 59 articles
[sw04947]
 nonstiff systems, and various versions of Newton iteration. In the cases of a direct linear ... solver (dense or banded), the Newton iteration is a Modified Newton iteration, in that ... linear solver, the iteration is an Inexact Newton iteration, using the current Jacobian (through matrix...

levmar
 Referenced in 64 articles
[sw04809]
 combination of steepest descent and the GaussNewton method. When the current solution ... correct solution, it becomes a GaussNewton method...

SDPNAL+
 Referenced in 50 articles
[sw13239]
 SDPNAL+: a majorized semismooth NewtonCG augmented Lagrangian method for semidefinite programming with nonnegative constraints.In ... this paper, we present a majorized semismooth NewtonCG augmented Lagrangian method, called SDPNAL ... numerical difficulty by employing a majorized semismooth NewtonCG augmented Lagrangian method coupled with...

Anderson
 Referenced in 80 articles
[sw15192]
 remarkable relationship of Anderson acceleration to quasiNewton (secant updating) methods and extended...

energy
 Referenced in 75 articles
[sw08072]
 distributions. The name energy derives from Newton’s gravitational potential energy, and there...

TNPACK
 Referenced in 42 articles
[sw00970]
 multivariate functions without constraints by a truncated Newton algorithm. The algorithm is especially suited ... involving a large number of variables. Truncated Newton methods allow approximate, rather than exact, solutions ... Newton equations. Truncation is accomplished in the present version by using the preconditioned Conjugate Gradient ... algorithm (PCG) to solve approximately the Newton equations. The preconditioner M is factored...