A Class of Steffensen-Type Iterative Methods for Nonlinear Systems

Joint Authors

Haghani, F. Khaksar
Soleymani, Fazlollah
Sharifi, M.
Shateyi, Stanford

Source

Journal of Applied Mathematics

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-04-10

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Mathematics

Abstract EN

A class of iterative methods without restriction on the computation of Fréchet derivatives including multisteps for solving systems of nonlinear equations is presented.

By considering a frozen Jacobian, we provide a class of m-step methods with order of convergence m+1.

A new method named as Steffensen-Schulz scheme is also contributed.

Numerical tests and comparisons with the existing methods are included.

American Psychological Association (APA)

Soleymani, Fazlollah& Sharifi, M.& Shateyi, Stanford& Haghani, F. Khaksar. 2014. A Class of Steffensen-Type Iterative Methods for Nonlinear Systems. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-492013

Modern Language Association (MLA)

Soleymani, Fazlollah…[et al.]. A Class of Steffensen-Type Iterative Methods for Nonlinear Systems. Journal of Applied Mathematics No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-492013

American Medical Association (AMA)

Soleymani, Fazlollah& Sharifi, M.& Shateyi, Stanford& Haghani, F. Khaksar. A Class of Steffensen-Type Iterative Methods for Nonlinear Systems. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-492013

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-492013