Annals of West University of Timisoara - Mathematics and Computer Science, ISSN 1841-3307, 07/2018, Volume 56, Issue 1, pp. 23 - 34

Local convergence analysis of a fourth order method considered by Sharma et. al in [19] for solving systems of nonlinear equations. Using conditions on...

local convergence | Fréchet derivative | weighted Newton method

local convergence | Fréchet derivative | weighted Newton method

Journal Article

Symmetry, ISSN 2073-8994, 01/2019, Volume 11, Issue 1, p. 103

This article considers the fourth-order family of weighted-Newton methods. It provides the range of initial guesses that ensure the convergence. The analysis...

Fréchet-derivative | Banach space | Local convergence | Ball radius of convergence | Weighted-Newton method | local convergence | VARIANTS | MULTIDISCIPLINARY SCIENCES | weighted-Newton method | RECURRENCE RELATIONS | ball radius of convergence | CHEBYSHEV-HALLEY METHODS | DYNAMICS | SYSTEMS | ITERATIVE METHODS | R-ORDER | Frechet-derivative

Fréchet-derivative | Banach space | Local convergence | Ball radius of convergence | Weighted-Newton method | local convergence | VARIANTS | MULTIDISCIPLINARY SCIENCES | weighted-Newton method | RECURRENCE RELATIONS | ball radius of convergence | CHEBYSHEV-HALLEY METHODS | DYNAMICS | SYSTEMS | ITERATIVE METHODS | R-ORDER | Frechet-derivative

Journal Article

01/2019, ISBN 3039216678

A plethora of problems from diverse disciplines such as Mathematics, Mathematical: Biology, Chemistry, Economics, Physics, Scientific Computing and also...

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4.
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Convergence Analysis of Weighted-Newton Methods of Optimal Eighth Order in Banach Spaces

MATHEMATICS, ISSN 2227-7390, 02/2019, Volume 7, Issue 2, p. 198

We generalize a family of optimal eighth order weighted-Newton methods to Banach spaces and study their local convergence. In a previous study, the Taylor...

MATHEMATICS | convergence | DYNAMICS | SYSTEMS | weighted-Newton methods | Banach spaces | ITERATIVE METHODS | Frechet-derivative | Fréchet-derivative

MATHEMATICS | convergence | DYNAMICS | SYSTEMS | weighted-Newton methods | Banach spaces | ITERATIVE METHODS | Frechet-derivative | Fréchet-derivative

Journal Article

Communications of the Korean Mathematical Society, ISSN 1225-1763, 2018, Volume 33, Issue 2, pp. 677 - 693

Journal Article

International Journal of Computational Methods, ISSN 0219-8762, 03/2017, Volume 14, Issue 2

We present a local convergence analysis for a family of quadrature-based predictor-corrector methods in order to approximate a locally unique solution of an...

local convergence | Fréchet-derivative | radius of convergence | Banach space | Weighted-Newton method | RECURRENCE RELATIONS | 6TH-ORDER CONVERGENCE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | NONLINEAR EQUATIONS | HALLEY METHOD | DYNAMICS | SYSTEMS | ITERATIVE METHODS | R-ORDER | Frechet-derivative

local convergence | Fréchet-derivative | radius of convergence | Banach space | Weighted-Newton method | RECURRENCE RELATIONS | 6TH-ORDER CONVERGENCE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | NONLINEAR EQUATIONS | HALLEY METHOD | DYNAMICS | SYSTEMS | ITERATIVE METHODS | R-ORDER | Frechet-derivative

Journal Article

Journal of Applied Mathematics and Computing, ISSN 1598-5865, 2/2015, Volume 47, Issue 1, pp. 153 - 174

By using the familiar Stirling numbers, we derive the explicit forms of the weighted Newton-Cotes integration formulas and the weighted Adams-Bashforth and...

Computational Mathematics and Numerical Analysis | Secondary 11B73 | Mathematics | Theory of Computation | Explicit forms of the weighted Newton-Cotes integration formulas | Stirling numbers | Explicit forms of the Adams-Bashforth and Adams-Moulton rules | Newton interpolation | 11Y35 | 45B05 | Mathematics of Computing | Appl.Mathematics/Computational Methods of Engineering | Primary 65D30 | Fredholm integral equations | Studies | Mathematical analysis | Mathematical models | Computation | Integral equations | Combinatorial analysis

Computational Mathematics and Numerical Analysis | Secondary 11B73 | Mathematics | Theory of Computation | Explicit forms of the weighted Newton-Cotes integration formulas | Stirling numbers | Explicit forms of the Adams-Bashforth and Adams-Moulton rules | Newton interpolation | 11Y35 | 45B05 | Mathematics of Computing | Appl.Mathematics/Computational Methods of Engineering | Primary 65D30 | Fredholm integral equations | Studies | Mathematical analysis | Mathematical models | Computation | Integral equations | Combinatorial analysis

Journal Article

Applied Mathematical Sciences, ISSN 1312-885X, 2014, Issue 61-64, pp. 3093 - 3107

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 2006, Volume 180, Issue 2, pp. 605 - 613

The weighted Newton–Cotes quadrature rules of open type are denoted by ∫ a = x - 1 b = x n + 1 = x - 1 + ( n + 2 ) h f ( x ) w ( x ) d x ≃ ∑ k = 0 n w k f ( x...

Degree of accuracy | The method of solving nonlinear systems | Numerical integration | Weighted Newton–Cotes integration type | The method of undetermined coefficients | Weighted Newton-Cotes integration type | the method of solving nonlinear systems | MATHEMATICS, APPLIED | weighted Newton-Cotes integration type | numerical integration | the method of undetermined coefficients | degree of accuracy

Degree of accuracy | The method of solving nonlinear systems | Numerical integration | Weighted Newton–Cotes integration type | The method of undetermined coefficients | Weighted Newton-Cotes integration type | the method of solving nonlinear systems | MATHEMATICS, APPLIED | weighted Newton-Cotes integration type | numerical integration | the method of undetermined coefficients | degree of accuracy

Journal Article

10.
Full Text
The second kind Chebyshev quadrature rules of semi-open type and its numerical improvement

Applied Mathematics and Computation, ISSN 0096-3003, 2006, Volume 172, Issue 1, pp. 210 - 221

One of the less-known integration methods is the weighted Newton–Cotes quadrature rule of semi-open type, which is shown by: ∫ a = x 0 b = x n + 1 = x 0 + ( n...

The method of undetermined coefficient | Degree of accuracy | The method of solving nonlinear systems | Numerical integration | Weighted Newton–Cotes integration type | Weighted Newton-Cotes integration type | the method of solving nonlinear systems | MATHEMATICS, APPLIED | weighted Newton-Cotes integration type | numerical integration | the method of undetermined coefficient | degree of accuracy

The method of undetermined coefficient | Degree of accuracy | The method of solving nonlinear systems | Numerical integration | Weighted Newton–Cotes integration type | Weighted Newton-Cotes integration type | the method of solving nonlinear systems | MATHEMATICS, APPLIED | weighted Newton-Cotes integration type | numerical integration | the method of undetermined coefficient | degree of accuracy

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 2006, Volume 174, Issue 2, pp. 1020 - 1032

One of the less-known integration methods is the weighted Newton–Cotes quadrature rule of semi-open type, which is denoted by ∫ a = x 0 b = x n + 1 = x 0 + ( n...

The method of undetermined coefficient | Semi-open Newton–Cotes integration | The method of solving nonlinear systems | Weighted Newton–Cotes quadrature rules | Precision degree | Semi-open Newton-Cotes integration | Weighted Newton-Cotes quadrature rules | the method of solving nonlinear systems | MATHEMATICS, APPLIED | weighted Newton-Cotes quadrature rules | precision degree | the method of undetermined coefficient | semi-open Newton-Cotes integration

The method of undetermined coefficient | Semi-open Newton–Cotes integration | The method of solving nonlinear systems | Weighted Newton–Cotes quadrature rules | Precision degree | Semi-open Newton-Cotes integration | Weighted Newton-Cotes quadrature rules | the method of solving nonlinear systems | MATHEMATICS, APPLIED | weighted Newton-Cotes quadrature rules | precision degree | the method of undetermined coefficient | semi-open Newton-Cotes integration

Journal Article

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