A structured Broyden's-like method for solving systems of nonlinear equations

We suggested a Broyden’s-Like method in which the Jacobian of the system has some special structure. In this approach, instead of approximating the whole Jacobian using the Broyden’s updating formula, we considered an update which only approximates part of the Jacobian matrix that is not easily a...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Mustafa, Mamat, Mohammed Yusuf, Waziri, Hafiza Aisha, A.
التنسيق: مقال
اللغة:English
منشور في: HIKARI Ltd. 2014
الموضوعات:
الوصول للمادة أونلاين:http://eprints.unisza.edu.my/5594/1/FH02-FIK-15-02361.jpg
http://eprints.unisza.edu.my/5594/
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الوصف
الملخص:We suggested a Broyden’s-Like method in which the Jacobian of the system has some special structure. In this approach, instead of approximating the whole Jacobian using the Broyden’s updating formula, we considered an update which only approximates part of the Jacobian matrix that is not easily attained. The anticipation has been to further improve the performance of Broyden’s scheme in which the Jacobian of the system has some special structure. The effectiveness of our proposed scheme is appraised through numerical comparison with some well known Newton’s-like methods.