Indirect Methods(Iterative Methods):
Gauss_Seidel Method
Bushra H. Aliwi
Department of Mathematics
BABYLON UNIVERSITY
Introduction :-
In Iteration Methods (Indirect Methods), we need to calculate absolute and relative error for variables vector at each iteration using Norm principle for vectors we will apply First_Order Norm(L1) ,that mean the sum of absolute values for vector s elements .
We will study Iterative method (Gauss_Seidel Method) that start with an approximation value and end up with true solution and number of iterations become large, which is similar to the fixed point method .
This method start solution through supposing equal initial values to zero ,and then use absolute error for variables values less than small positive number ,we can rearrange the linear equations using iterative process in each time .
The solutions by appling this method is less accurate than previous two methods since it is depend on error value that supposed and trials number .
We will solve example by this method and we gave exercise left to students to solve as Homework .
المادة المعروضة اعلاه هي مدخل الى المحاضرة المرفوعة بواسطة استاذ(ة) المادة . وقد تبدو لك غير متكاملة . حيث يضع استاذ المادة في بعض الاحيان فقط الجزء الاول من المحاضرة من اجل الاطلاع على ما ستقوم بتحميله لاحقا . في نظام التعليم الالكتروني نوفر هذه الخدمة لكي نبقيك على اطلاع حول محتوى الملف الذي ستقوم بتحميله .