Results 11 to 20 of about 39,786 (175)
Computing Weighted Analytic Center for Linear Matrix Inequalities Using Infeasible Newton’s Method
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
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]
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
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]
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
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
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Convergence Thresholds of Newton's Method for Monotone Polynomial Equations [PDF]
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
Capítulo del libro "Contemporary study of iterative methods: convergence, dynamics and applications"
Magreñán, Á. Alberto (1) +1 more
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Nonlinear Preconditioning: How to use a Nonlinear Schwarz Method to Precondition Newton's Method [PDF]
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]
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

