A Derivative-Free Conjugate Gradient Method and Its Global Convergence for Solving Symmetric Nonlinear Equations

Joint Authors

Waziri, Mohammed Yusuf
Sabi’u, Jamilu

Source

International Journal of Mathematics and Mathematical Sciences

Issue

Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2015-09-03

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

We suggest a conjugate gradient (CG) method for solving symmetric systems of nonlinear equations without computing Jacobian and gradient via the special structure of the underlying function.

This derivative-free feature of the proposed method gives it advantage to solve relatively large-scale problems (500,000 variables) with lower storage requirement compared to some existing methods.

Under appropriate conditions, the global convergence of our method is reported.

Numerical results on some benchmark test problems show that the proposed method is practically effective.

American Psychological Association (APA)

Waziri, Mohammed Yusuf& Sabi’u, Jamilu. 2015. A Derivative-Free Conjugate Gradient Method and Its Global Convergence for Solving Symmetric Nonlinear Equations. International Journal of Mathematics and Mathematical Sciences،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1066220

Modern Language Association (MLA)

Waziri, Mohammed Yusuf& Sabi’u, Jamilu. A Derivative-Free Conjugate Gradient Method and Its Global Convergence for Solving Symmetric Nonlinear Equations. International Journal of Mathematics and Mathematical Sciences No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1066220

American Medical Association (AMA)

Waziri, Mohammed Yusuf& Sabi’u, Jamilu. A Derivative-Free Conjugate Gradient Method and Its Global Convergence for Solving Symmetric Nonlinear Equations. International Journal of Mathematics and Mathematical Sciences. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1066220

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1066220