2.6 Iterative methods for linga Systems
2.6 Iterative Methods for Linear Systems
1.6.1 Jacobi Iteration
1.6.1 Jacobi Iteration
Example 3. 26. Consider the system of equations 4-y+ 4c-8+2=21 2x+y+52=15
Table 3. 2 Convergence Jacobi iteration for the Linear System(1) k k k 1.0 2.0 2.0 1 1.75 3.375 3.0 1.84375 3.875 3.025 1.9625 3.925 2.9625 41.990625003.97656250300000000 51.994140633995312503.00093750 151999999933.999999852.99999993 192.00000004.0000000030000000
Example 3. 27. Let the linear system(1) be rearranged as follows 2c+y+52=-15 4x-8y+2=-21 4c-y+2=7