A Novel Filled Function Method for Nonlinear Equations

Joint Authors

Tang, Qiuhua
Yuan, Liuyang

Source

Journal of Applied Mathematics

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-06-12

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Mathematics

Abstract EN

A novel filled function method is suggested for solving box-constrained systems of nonlinear equations.

Firstly, the original problem is converted into an equivalent global optimization problem.

Subsequently, a novel filled function with one parameter is proposed for solving the converted global optimization problem.

Some properties of the filled function are studied and discussed.

Finally, an algorithm based on the proposed novel filled function for solving systems of nonlinear equations is presented.

The objective function value can be reduced by quarter in each iteration of our algorithm.

The implementation of the algorithm on several test problems is reported with satisfactory numerical results.

American Psychological Association (APA)

Yuan, Liuyang& Tang, Qiuhua. 2014. A Novel Filled Function Method for Nonlinear Equations. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-457112

Modern Language Association (MLA)

Yuan, Liuyang& Tang, Qiuhua. A Novel Filled Function Method for Nonlinear Equations. Journal of Applied Mathematics No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-457112

American Medical Association (AMA)

Yuan, Liuyang& Tang, Qiuhua. A Novel Filled Function Method for Nonlinear Equations. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-457112

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-457112