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بسم الله الرحمن الرحيم.

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Presentation on theme: "بسم الله الرحمن الرحيم."— Presentation transcript:

1 بسم الله الرحمن الرحيم

2 Iterations (Approximation )
System of linear algebraic equations Direct (Exact ) Solution Iterations (Approximation )

3 System of linear algebraic equations

4 Jacobi Iterative Method
A- Obtain normal form of the system

5 Jacobi Iterative Method
B- Putting ,

6 Jacobi Iterative Method

7 2nd Iteration

8 Example For Jacobi

9 Example For Jacobi

10 Example For Jacobi

11 Example For Jacobi

12 Example For Jacobi First Iteration

13 Example For Jacobi First Iteration

14 Example For Jacobi Second Iteration

15 Example For Jacobi Second Iteration

16 Example For Jacobi

17 Gauss Seidel Iteration

18 Gauss Seidel Iteration
First Iteration

19 Gauss Seidel Iteration
First Iteration

20 Gauss Seidel Iteration
Second Iteration

21 Gauss Seidel Iteration
Second Iteration

22 Check Of Convergance 1- If array Element

23 Check Of Convergance 2-

24 Error of Approximation
A- Jacobi Max of T Exact Iteration

25 Error of Approximation
B- Gauss Seidel


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