On an Aitken-Steffensen-Newton type method
Abstract We consider an Aitken-Steffensen type method in which the nodes are controlled by Newton and two-step Newton iterations. We…
nonlinear equations in R
On computational complexity in solving equations by interpolation methods,
Abstract AuthorsIon Păvăloiu KeywordsPDFScanned paper. Latex version of the paper. Cite this paper as:I. Păvăloiu, On computational complexity in solving…
On an Aitken-Newton type method
Abstract We study the solving of nonlinear equations by an iterative method of Aitken type, which has the interpolation nodes…
On a Newton-Steffensen type method
Abstract In this paper we study the convergence of a Newton-Steffensen type method for solving nonlinear equations in R, introduced by…
On a robust Aitken-Newton method based on the Hermite polynomial
Abstract We introduce an Aitken–Newton iterative method for nonlinear equations, which is obtained by using the Hermite inverse interpolation polynomial…
Bilateral approximations for some Aitken-Steffensen-Hermite type methods of order three
Abstract We study the local convergence of some Aitken–Steffensen–Hermite type methods of order three. We obtain that under some reasonable…
A unified treatment of the modified Newton and chord methods
Abstract The aim of this paper is to obtain a unified treatment of some iterative methods. We obtain some conditions…
On a Steffensen-Hermite method of order three
Abstract In this paper we study a third order Steffensen type method obtained by controlling the interpolation nodes in the…
On a Steffensen type method
Abstract We study a general Steffensen type method based on the inverse interpolation Lagrange polynomial of second degree. We show…
Bilateral approximations of solutions of equations by order three Steffensen-type methods
Abstract We study the convergence of a method of Steffensen-type, which is obtained from the Lagrange polynomial of inverse interpolation with…
Publications
Kantorovich type operators associated with Jain-Markov operators
AbstractThis note focuses on a sequence of linear positive operators of integral type in the sense of Kantorovich. The construction is based on a class of discrete operators representing a…
Read More Asymptotic analysis of a structure-preserving integrator for damped Hamiltonian systems
AbstractThe present work deals with the numerical long-time integration of damped Hamiltonian systems. The method that we analyze combines a specific Strang splitting, that separates linear dissipative effects from conservative…
Read More Approximation of some classes of functions by Landau type operators
Abstract This paper aims to highlight a class of integral linear and positive operators of Landau type which have affine functions as fixed points. We focus to reveal approximation properties…
Read More Publication Fields
- (original) (361)
- (preprint) (19)
- (proceedings) (32)
- (survey) (2)
- Announcements (31)
- Approximation Theory (26)
- book chapter (3)
- Books (25)
- Chebyshev method (4)
- Convergence orders (9)
- divided differences (10)
- eigenvalue/eigenvector problems (15)
- finite differences (FD) (4)
- Finite element (FEM) (15)
- Fixed point theory (25)
- global random walk (16)
- history (3)
- inexact/perturbed iterations (11)
- inverse interpolation (11)
- ISI/JCR (159)
- iterative methods (37)
- Krylov methods (6)
- Linear and positive approximation operators (4)
- linear systems in Rn (7)
- local convergence (19)
- metals and alloys casting (12)
- Meteorology (5)
- Monte Carlo simulations (4)
- Newton method (22)
- nonlinear equations in Banach spaces (6)
- nonlinear equations in R (11)
- nonlinear systems in Rn (11)
- Numerical Analysis (139)
- Numerical Modeling (101)
- ODEs (6)
- Optimization (5)
- paper (415)
- PDEs (26)
- Schulz type iterations (2)
- secant/chord method (5)
- semilocal convergence (8)
- spectral methods (8)
- Steffenssen methods (7)
- successive approximations (5)
- talk (4)
- Time Series (15)
- Uncategorized (1)