Results 1 to 10 of about 900 (183)

Semilocal Convergence of the Extension of Chun’s Method [PDF]

Axioms, 2021
In this work, we use the technique of recurrence relations to prove the semilocal convergence in Banach spaces of the multidimensional extension of Chun’s iterative method.
Alicia Cordero, Javier G. Maimó, Eulalia Martínez, Juan R. Torregrosa, María P. Vassileva   +4 more
doaj   +6 more sources

Semilocal Convergence Theorem for the Inverse-Free Jarratt Method under New Hölder Conditions [PDF]

The Scientific World Journal, 2015
Under the new Hölder conditions, we consider the convergence analysis of the inverse-free Jarratt method in Banach space which is used to solve the nonlinear operator equation. We establish a new semilocal convergence theorem for the inverse-free Jarratt
Yueqing Zhao, Rongfei Lin, Zdenek Šmarda, Yasir Khan, Jinbiao Chen, Qingbiao Wu   +5 more
doaj   +3 more sources

A semilocal convergence result for Newton’s method under generalized conditions of Kantorovich [PDF]

Journal of Complexity, 2014
From Kantorovich's theory we establish a general semilocal convergence result for Newton's method based fundamentally on a generalization required to the second derivative of the operator involved. As a consequence, we obtain a modification of the domain of starting points for Newton's method and improve the a priori error estimates.
J A Ezquerro, D Gonzalez, M A Hernández-Verón   +2 more
exaly   +6 more sources

A semilocal convergence analysis for the method of tangent parabolas

Journal of Numerical Analysis and Approximation Theory, 2005
We present a semilocal convergence analysis for the method of tangent parabolas (Euler-Chebyshev) using a combination of Lipschitz and center Lipschitz conditions on the Fréchet derivatives involved.
Ioannis K. Argyros
doaj   +5 more sources

Extended semilocal convergence for the Newton- Kurchatov method

Математичні Студії, 2020
We provide a semilocal analysis of the Newton-Kurchatov method for solving nonlinear equations involving a splitting of an operator. Iterative methods have a limited restricted region in general.
H.P. Yarmola, I. K. Argyros, S.M. Shakhno   +2 more
doaj   +3 more sources

Ab Initio Calculation of Energy Gap and Optical Gap of Organic Semiconductors PTCDA and PDI. [PDF]

Chemphyschem
We benchmark electronic structure methods for predicting energy and optical gaps of three organic semiconductors from molecules to crystals. GW is most reliable for crystalline energy levels, while single‐molecule time‐dependent density functional theory with a polarizable continuum model delivers remarkable accuracy for some quantities at a much lower
Hsieh CM, Link T, Maas M, Koschek K, Neudecker T.   +4 more
europepmc   +2 more sources

An Energy-Corrected Fast Post-SCF Local-Hybrid Scheme for Highly Accurate Energy Differences of Large Main-Group Systems. [PDF]

J Comput Chem
A post‐SCF energy‐corrected local‐hybrid scheme, EC(LH)@(m)GGA, is introduced, in which hyper‐meta‐GGA ingredients obtained from inexpensive meta‐GGA or GGA orbitals are used as input for a single local‐hybrid energy evaluation. Using LH25nP as a prototype, this strategy retains the characteristic accuracy and strong‐correlation improvement of the ...
Wodyński A, Kaupp M.
europepmc   +2 more sources

Extensions to Extended Tight-Binding Methods for Transition-Metal Containing Systems. [PDF]

J Comput Chem
We present a new GFN2‐xTB implementation with a geometric direct minimization scheme and a Hubbard‐U correction. We demonstrate that the Hubbard correction improves linearity of the elctronic energy, stabilizes SCF convergence, and enables more accurate spin‐gap predictions in narrow application domains such as specific iron‐containing complexes ...
Moradi S, Tomann R, Head-Gordon M, Stein CJ.   +3 more
europepmc   +2 more sources

A highly accurate family of stable and convergent numerical solvers based on Daftardar–Gejji and Jafari decomposition technique for systems of nonlinear equations [PDF]

MethodsX
This study introduces a family of root-solvers for systems of nonlinear equations, leveraging the Daftardar–Gejji and Jafari Decomposition Technique coupled with the midpoint quadrature rule.
Sania Qureshi, Ioannis K. Argyros, Hossein Jafari, Amanullah Soomro, Krzysztof Gdawiec   +4 more
doaj   +2 more sources

An improved semilocal convergence analysis for the midpoint method

Journal of Numerical Analysis and Approximation Theory, 2016
We expand the applicability of the midpoint method for approximating a locally unique solution of nonlinear equations in a Banach space setting. Our majorizing sequences are finer than the known results in scientific literature [1,3,4,5,6,7,8,9,10,11,19,
Ioannis K. Argyros, Sanjay K. Khattri
doaj   +3 more sources