دراسة وتطوير طرائقتحليل حلول جملة معادلات جبرية خطية هوموتوبيا

الموضوعات

علوم تطبيقية وتكنولوجية

الملخص

روابط وملفات

التعريف والنوع

رقم الوثيقة

06adc485-564b-43ee-880c-7f5fd7417c97

رقم العقد

0

نوع الوسائط

Crawler

نوع المحتوى

الرسائل العلمية

صيغة المصدر

رسائل ماجيستير

نوع الملف

pdf text

أسماء الملفات

1960373_1.pdf

بيانات النشر

ترجمة العنوان

Studying and Development of Homotopy Analysis Methods for Solving Systems of Linear Algebraic Equations

ألقاب المؤلفين

[{"name_ar":"محمد هشام بوادقجي","title_ar":"اشراف","title_en":"Supervision"},{"name_ar":"محمد يوسف حج خليل","title_ar":"اعداد","title_en":"Preparation"},{"name_ar":"نصر الدين عيد","title_ar":"اشراف","title_en":"Supervision"}]

اللغة

Arabic

المصدر والدورية

اسم المصدر

دراسة وتطوير طرائقتحليل حلول جملة معادلات جبرية خطية هوموتوبيا

المحتوى والصفحات

عدد الصفحات

109

ترجمة الملخص

The thesis addressed a study of analysis method for solving system of linear algebraic equations. When using this method we build a so-called function which is describes a continuous deformation of the initial solution to the exact solution of the system of linear algebraic equations. Enter into the construction of this function two parameters, one is a real the other is a matrix called the auxiliary matrix. Using this method, to the system of linear algebraic equations is given in the form of an infinite series of matrices that enters into the compositions of each boundary of these two parameters. Finding a solution to the system of linear algebraic equations in depends on our choice of optimal values for these two parameters so that the method is convergence and we get the solution at the lowest cost. In our work we studied a parameter of the function auxiliary matrix. This study was to find new forms of this matrix with proof of convergence of the method for all the studied forms, this study was when the a system of linear algebraic equations is a diagonally dominate matrix. A number of numerical applications were presented and we compared the results of the applications of the new forms of the auxiliary matrix with the results of the forms of this matrix previously considered. The thesis included three chapters and the results were presented in chapter 3 .The results included in this thesis assuming that the coefficient a system of linear algebraic equations is a diagonally dominate matrix and that the coefficient matrix for the equivalent system, are the next:1) If the coefficient a diagonally dominate, and we propose , and we defined for any value to {}the matrix as follows:[]{.

إشراف وإعداد

الإشراف

محمد هشام بوادقجي, نصر الدين عيد

الإعداد

محمد يوسف حج خليل

الاقتباسات الببليوغرافية