Results 11 to 20 of about 39,786 (175)

Computing Weighted Analytic Center for Linear Matrix Inequalities Using Infeasible Newton’s Method

open access: yesJournal of Mathematics, 2015
We study the problem of computing weighted analytic center for system of linear matrix inequality constraints. The problem can be solved using Standard Newton’s method.
Shafiu Jibrin
doaj   +1 more source

Improved semi-local convergence of the Gauss-Newton method for systems of equations

open access: yesJournal of Mathematical Sciences and Modelling, 2018
Our new technique of restricted convergence domains is employed to provide a finer convergence analysis of the Gauss-Newton method in order to solve a certain class of systems of equations under a majorant condition. The advantages are obtained under the
Santhosh George, İoannis K Argyros
doaj   +1 more source

Virtual Immediate Basins of Newton Maps and Asymptotic Values [PDF]

open access: yes, 2006
Newton's root finding method applied to a (transcendental) entire function f:C->C is the iteration of a meromorphic function N. It is well known that if for some starting value z, Newton's method converges to a point x in C, then f has a root at x.
Buff, Xavier, Rueckert, Johannes
core   +2 more sources

Newton's method

open access: yesWIREs Computational Statistics, 2010
AbstractNewton's method is one of the most powerful techniques for solving systems of nonlinear equations and minimizing functions. It is easy to implement and has a provably fast rate of convergence under fairly mild assumptions. Because of these and other nice properties, Newton's method is at the heart of many solution techniques used to solve real ...
openaire   +5 more sources

Series solutions for a static scalar potential in a Salam-Sezgin Supergravitational hybrid braneworld [PDF]

open access: yes, 2005
The static potential for a massless scalar field shares the essential features of the scalar gravitational mode in a tensorial perturbation analysis about the background solution.
A. Chamblin   +10 more
core   +1 more source

Approximate Newton Methods

open access: yes, 2017
Many machine learning models involve solving optimization problems. Thus, it is important to deal with a large-scale optimization problem in big data applications. Recently, subsampled Newton methods have emerged to attract much attention due to their efficiency at each iteration, rectified a weakness in the ordinary Newton method of suffering a high ...
Ye, Haishan, Luo, Luo, Zhang, Zhihua
openaire   +3 more sources

Convergence Thresholds of Newton's Method for Monotone Polynomial Equations [PDF]

open access: yes, 2007
Monotone systems of polynomial equations (MSPEs) are systems of fixed-point equations $X_1 = f_1(X_1, ..., X_n),$ $..., X_n = f_n(X_1, ..., X_n)$ where each $f_i$ is a polynomial with positive real coefficients.
Esparza, Javier   +2 more
core   +8 more sources

Gauss–Newton method

open access: yes, 2018
Capítulo del libro "Contemporary study of iterative methods: convergence, dynamics and applications"
Magreñán, Á. Alberto (1)   +1 more
openaire   +2 more sources

Nonlinear Preconditioning: How to use a Nonlinear Schwarz Method to Precondition Newton's Method [PDF]

open access: yes, 2015
For linear problems, domain decomposition methods can be used directly as iterative solvers, but also as preconditioners for Krylov methods. In practice, Krylov acceleration is almost always used, since the Krylov method finds a much better residual ...
Dolean, V.   +4 more
core   +6 more sources

Experiments in orbit determination using numerical methods [PDF]

open access: yes, 1985
The dynamics of the observed object is written as a system of integral equations. This system is solved numerically by representing the components of the force function as linear combinations of B-splines and by applying the multigrid technique.
Traas, C.R.
core   +3 more sources

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