An optimized Steffensen-type iterative method with memory associated with annuity calculation

被引：8

作者：

Khdhr, Fuad W. ^{[1
]}

Soleymani, Fazlollah ^{[2
]}

Saeed, Rostam K. ^{[1
]}

Akgul, Ali ^{[3
]}

机构：

[1] Salahaddin Univ, Coll Sci, Dept Math, Erbil, Kurdistan Regio, Iraq

[2] IASBS, Dept Math, Zanjan 4513766731, Iran

[3] Siirt Univ, Art & Sci Fac, Dept Math, Siirt, Turkey

来源：

EUROPEAN PHYSICAL JOURNAL PLUS | 2019年 / 134卷 / 04期

关键词：

SYSTEMS;

D O I：

10.1140/epjp/i2019-12665-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An iteration scheme in the class of Steffensen-type methods is proposed and extended to achieve the optimized speed for methods with memory. In fact, 100% convergence acceleration is obtained in contrast to its version without memory and without any additional functional evaluations. Improvements of the convergence radii by this technique are illustrated by the dynamic of the iterations. Finally, an application of the proposed scheme in computing annuity in finance is furnished.

引用

页数：12

共 23 条

[1] An optimized Steffensen-type iterative method with memory associated with annuity calculation
Fuad W. Khdhr
Fazlollah Soleymani
Rostam K. Saeed
Ali Akgül
The European Physical Journal Plus, 134
[2] Solving Nondifferentiable Nonlinear Equations by New Steffensen-Type Iterative Methods with Memory
Jaiswal, J. P.
MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
[3] A Class of Steffensen-Type Iterative Methods for Nonlinear Systems
Soleymani, F.
Sharifi, M.
Shateyi, S.
Haghani, F. Khaksar
JOURNAL OF APPLIED MATHEMATICS, 2014,
[4] A STEFFENSEN-TYPE METHOD FOR COMPUTING A ROOT
GAREY, LE
SHAW, RE
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1985, 18 (02) : 185 - 190
[5] A New Sixth-Order Steffensen-Type Iterative Method for Solving Nonlinear Equations
Eftekhari, Tahereh
INTERNATIONAL JOURNAL OF ANALYSIS, 2014,
[6] On the Construction of Fast Steffensen-Type Iterative Methods for Nonlinear Equations
Kiyoumarsi, Farshad
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2018, 15 (02)
[7] SOME STEFFENSEN-TYPE ITERATIVE SCHEMES FOR THE APPROXIMATE SOLUTION OF NONLINEAR EQUATIONS
Shah, Farooq Ahmed
Noor, Muhammad Aslam
Waseem, Muhammad
Ul Haq, Ehsan
MISKOLC MATHEMATICAL NOTES, 2021, 22 (02) : 939 - 949
[8] Solving Nonlinear Equation Systems via a Steffensen-Type Higher-Order Method with Memory
Wang, Shuai
Xian, Haomiao
Liu, Tao
Shateyi, Stanford
MATHEMATICS, 2024, 12 (23)
[9] A multistep Steffensen-type method for solving nonlinear systems of equations
Amat, Sergio
Argyros, Ioannis K.
Busquier, Sonia
Hernandez-Veron, Miguel A.
Magrenan, A. Alberto
Martinez, Eulalia
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (13) : 7518 - 7536
[10] An efficient family of Steffensen-type methods with memory for solving systems of nonlinear equations
Narang, Mona
Bhatia, Saurabh
Kanwar, Vinay
COMPUTATIONAL AND MATHEMATICAL METHODS, 2021, 3 (06)

← 1 2 3 →