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

المؤلفون المشاركون

Waziri, Mohammed Yusuf
Sabi’u, Jamilu

المصدر

International Journal of Mathematics and Mathematical Sciences

العدد

المجلد 2015، العدد 2015 (31 ديسمبر/كانون الأول 2015)، ص ص. 1-8، 8ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2015-09-03

دولة النشر

مصر

عدد الصفحات

8

التخصصات الرئيسية

الرياضيات

الملخص 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.

نمط استشهاد جمعية علماء النفس الأمريكية (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

نمط استشهاد الجمعية الأمريكية للغات الحديثة (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

نمط استشهاد الجمعية الطبية الأمريكية (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

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1066220