Results 121 to 130 of about 1,467 (152)

The Picard–HSS iteration method for absolute value equations

Optimization Letters, 2014
\textit{O. L. Mangasarian} [ibid. 3, No. 1, 101--108 (2009; Zbl 1154.90599)] proposed a generalized Newton method for the absolute value equation (AVE) \(Ax - |x| = b\) and investigated its convergence properties. This paper deals with the convergence of the Picard-HSS iteration method to solve AVE, where \(A\) is a non-symmetric positive definite ...
openaire   +1 more source

Waveform Iteration and the Shifted Picard Splitting

SIAM Journal on Scientific and Statistical Computing, 1989
The theme of this paper is that the primary computational bottleneck in the solution of stiff ordinary differential equations (ODEs) and the parallel solution of nonstiff ODEs is the implicitness of the ODE rather than the approximation of the integration process (or in conventional terminology, numerical stability rather than accuracy), and therefore ...
openaire   +1 more source

Estimate for Picard iterations of a Hermitian matrix operator

AIP Conference Proceedings, 2017
The purpose of this paper is to study the Picard iterations of a Hermitian matrix operator. In [1], we proved the existence and uniqueness of attractive fixed point of an operator defined on Hermitian matrix space and satisfying a certain condition. In this paper we show that the n th Picard iterations of that Hermitian matrix operator converges to the
Akhadkulov, H., Saaban, Azizan, Alipiah, F. M., Jameel, A. F.   +3 more
openaire   +2 more sources

On the quaternion Julia sets via Picard–Mann iteration

Nonlinear Dynamics, 2023
Krzysztof Gdawiec, Ricardo Fariello, Gdawiec Krzysztof   +2 more
exaly  

Numerical solution of two-point nonlinear boundary value problems via Legendre–Picard iteration method

Mathematics and Computers in Simulation, 2022
Mohammad Heydari
exaly  

Modified Picard type iterative algorithm for nonexpansive mappings

2018
Summary: In this paper, we propose a modified version of Picard type iterative algorithm for finding a fixed point of a nonexpansive mapping defined on a closed convex subset of a Hilbert space. We prove the strong convergence of the sequence generated by the proposed algorithm to a fixed point of a nonexpansive map, such fixed point is also a solution
KARAKAYA, Vatan, Erturk, Muzeyyen, Ansari, Qamrul Hasan, Gursoy, Faik   +3 more
openaire   +2 more sources

Distributed Picard Iteration.

CoRR, 2021
Francisco L. Andrade, Mário A. T. Figueiredo, João Xavier 0001   +2 more
openaire   +1 more source

The Picard–Mann iteration with s-convexity in the generation of Mandelbrot and Julia sets

Monatshefte Fur Mathematik, 2021
Abdul Aziz Shahid, Waqas Nazeer, Krzysztof Gdawiec   +2 more
exaly  

A general approach to the study of the convergence of Picard iteration with an application to Halley's method for multiple zeros of analytic functions

Journal of Mathematical Analysis and Applications, 2022
Stoil I Ivanov
exaly  

The Picard Iteration

2007
openaire   +1 more source