
KELLEY
 Referenced in 553 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 456 articles
[sw02300]
 based on a limitedmemory quasiNewton approximation to the Hessian of the Lagrangian...

INTOPT_90
 Referenced in 294 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...

GQTPAR
 Referenced in 282 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...

NewtonLib
 Referenced in 234 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 109 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...

VODE
 Referenced in 181 articles
[sw01005]
 solution of the implicit equations by quasi Newton methods. In this paper the authors consider...

PLCP
 Referenced in 161 articles
[sw04795]
 predictor_corrector algorithm. It is based on Newton steps on the perturbed optimality system...

CONOPT
 Referenced in 146 articles
[sw02791]
 basis factorizations, search directions, linesearches, and Newton iterations. The paper contains performance statistics...

SQPlab
 Referenced in 105 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...

NITSOL
 Referenced in 83 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...

TRON
 Referenced in 99 articles
[sw04714]
 TRON is a trust region Newton method for the solution of large boundconstrained optimization...

CMAES
 Referenced in 83 articles
[sw05063]
 inverse Hessian matrix in the QuasiNewton method in classical optimization. In contrast to most...

SCALCG
 Referenced in 78 articles
[sw08453]
 This modification is based on the quasiNewton BFGS updating formula. The computational scheme...

CVODE
 Referenced in 44 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...

TNPACK
 Referenced in 39 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...

levmar
 Referenced in 41 articles
[sw04809]
 combination of steepest descent and the GaussNewton method. When the current solution ... correct solution, it becomes a GaussNewton method...

SSVM
 Referenced in 52 articles
[sw12678]
 Smooth Support Vector Machine (SSVM). A fast NewtonArmijo algorithm for solving the SSVM converges...

MINPACK2
 Referenced in 51 articles
[sw04751]
 limited memory quasi Newton method. Directories contain software, drivers and manuals. (dcsrch.f, the stepsize...

LYAPACK
 Referenced in 50 articles
[sw12624]
 model reduction methods and modifications of the Newton method for the solution of large Riccati...