
tn
 Referenced in 134 articles
[sw05140]
 Newtontype minimization via the Lanczos method This paper discusses the use of the linear ... conjugategradient method (developed via the Lanczos method) in the solution of largescale unconstrained ... iterations earlier. A preconditioned truncated Newton method is described that defines a search direction which ... nonlinear conjugategradienttype method and a modified Newton direction. Numerical results are given which...

NewtonLib
 Referenced in 273 articles
[sw04796]
 Software repository for Peter Deuflhards Book ”Newton Methods for Nonlinear Problems  Affine Invariance and Adaptive ... presents a scheme to construct adaptive Newtontype algorithms in close connection with an associated...

NAPHEAP
 Referenced in 8 articles
[sw23701]
 guess is computed using the variable fixing method or is supplied by the user ... uses a Newtontype method (variable fixing method, secant method, or Newton’s method ... search, can be faster than a Newtontype method by itself, as demonstrated...

PNOPT
 Referenced in 1 article
[sw20469]
 MATLAB package that uses proximal Newtontype methods to minimize composite functions. For details, please ... arxiv.org/abs/1206.1623: Proximal Newtontype methods for minimizing composite functions. We generalize Newtontype methods ... show that the resulting proximal Newtontype methods inherit the desirable convergence behavior of Newton ... learning are special cases of proximal Newtontype methods, and our analysis yields new convergence...

Anderson
 Referenced in 74 articles
[sw15192]
 Anderson acceleration to quasiNewton (secant updating) methods and extended it to define a broader ... Anderson family of acceleration methods. In this paper, our goals are to shed additional light ... generalized minimal residual (GMRES) method. We also show that the Type 1 variant...

NLEIGS
 Referenced in 28 articles
[sw22547]
 rational interpolation and generalizes the Newton rational Krylov method proposed in [R. Van Beeumen ... function $A(lambda)$ and a new companiontype linearization for obtaining a generalized eigenvalue problem ... particularly suited for the rational Krylov method. A new approach for the computation of rational ... computational cost comparable to the Newton rational Krylov method but converges more reliably, in particular...

pySLEQP
 Referenced in 1 article
[sw17724]
 methods, SLEQP methods are iterative Newtontype methods. In every iteration, a trust region constrained...

LYAPACK
 Referenced in 60 articles
[sw12624]
 quite a number of approaches for several types of large control problems have been proposed ... model reduction methods and modifications of the Newton method for the solution of large Riccati...

FBstab
 Referenced in 1 article
[sw33418]
 paper introduces the proximally stabilized FischerBurmeister method (FBstab); a new algorithm for convex quadratic ... algorithm with a primaldual semismooth Newtontype method. FBstab is numerically robust, easy...

SOLGASMIX
 Referenced in 1 article
[sw03005]
 treated iteratively using a Newton type method. That is the nonlinear system is linearized...

KAIRUAIN
 Referenced in 3 articles
[sw08218]
 algorithm which is an iterative method of NewtonKaczmarz type, where we use the approximate ... solution of the linearized equation at each Newton iteration. We study the convergence ... derive an efficient and stable reconstruction method for electromagnetic imaging. We use experimental data provided...

mixdist
 Referenced in 5 articles
[sw08156]
 method of maximum likelihood using a combination of a Newtontype algorithm...

KADATH
 Referenced in 9 articles
[sw09575]
 equations of various types are discretized by means of spectral methods. The resulting system ... solved using a NewtonRaphson iteration. Doing so, KADATH is able to deal with strongly...

TenEig
 Referenced in 22 articles
[sw14671]
 homotopy continuation type algorithms to solve tensor eigenproblems. With proper implementation, these methods can find ... that combines a heuristic approach and a Newton homotopy method to extract real generalized eigenpairs...

MUSCOP
 Referenced in 6 articles
[sw06143]
 periodic partial differential equations (PDEs). The proposed method features asymptotically optimal scale ... iterative splitting approach (LISA) within a Newtontype iteration with globalization on the basis ... level functions. We investigate the LISANewton method in the framework of Bock’s kappa...

Algorithm 840
 Referenced in 24 articles
[sw04463]
 methods using a basis of Legendre polynomials, known variously as “spectral elements” or “$p$type ... weights are found simultaneously through a Newton iteration. For large $N$ and $c$, the iteration...

CARMA
 Referenced in 9 articles
[sw07235]
 gradient search, leastsquares search and Newton search principle. This paper studies the least squares ... iterative identification methods for CARMA systems and BoxJenkins systems. The proposed methods can also ... extended to other equation error type systems, output error type systems and nonlinear systems. Iterative...

SuperMann
 Referenced in 7 articles
[sw36949]
 fixedpoint iterations of nonexpansive operators, such methods suffer many well known downsides, which include ... universal solution we propose SuperMann, a Newtontype algorithm for finding fixed points of nonexpansive...

PREQN
 Referenced in 9 articles
[sw01233]
 automatically generating preconditioners for the conjugate gradient method. It is designed for solving a sequence ... definite and vary slowly. Problems of this type arise, for example, in nonlinear optimization ... preconditioners are based on limitedmemory quasiNewton updating and are recommended for problems...

intpakX
 Referenced in 11 articles
[sw00445]
 Maple Power Tool intpakX defines Maple types for real intervals and complex disc intervals ... applications, verified computation of zeroes (Interval Newton Method) with the possibility to find all zeroes...