• # tn

• Referenced in 134 articles [sw05140]
• Newton-type minimization via the Lanczos method This paper discusses the use of the linear ... conjugate-gradient method (developed via the Lanczos method) in the solution of large-scale unconstrained ... iterations earlier. A preconditioned truncated Newton method is described that defines a search direction which ... nonlinear conjugate-gradient-type 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 Newton-type 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 Newton-type method (variable fixing method, secant method, or Newton’s method ... search, can be faster than a Newton-type method by itself, as demonstrated...
• # PNOPT

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

• Referenced in 74 articles [sw15192]
• Anderson acceleration to quasi-Newton (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 companion-type 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...
• # 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 Fischer-Burmeister method (FBstab); a new algorithm for convex quadratic ... algorithm with a primal-dual semismooth Newton-type method. FBstab is numerically robust, easy...
• # KAIRUAIN

• Referenced in 3 articles [sw08218]
• algorithm which is an iterative method of Newton-Kaczmarz 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...

• Referenced in 9 articles [sw09575]
• equations of various types are discretized by means of spectral methods. The resulting system ... solved using a Newton-Raphson 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 Newton-type iteration with globalization on the basis ... level functions. We investigate the LISA-Newton 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, least-squares search and Newton search principle. This paper studies the least squares ... iterative identification methods for CARMA systems and Box-Jenkins 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]
• fixed-point iterations of nonexpansive operators, such methods suffer many well known downsides, which include ... universal solution we propose SuperMann, a Newton-type 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 limited-memory quasi-Newton 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...