2.6 Iterative methods for linear 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 4x-y+2=-7 4x-8y+2=21 2x+y+52=15
Table 3.2 Convergence Jacobi iteration for the Linear System(1) k k 2k 1.0 2.0 2.0 1.75 3.375 3.0 21.84375 3.875 3.025 3 1.9625 3.925 2.9625 41.990625003.97656250300000000 51.994140633.995312503.00093750 151.99999933.99999852.9999993 192000000001.00000000000000
Example 3. 27. Let the linear system(1) be rearranged as follows 2x+y+52=-15 4x-8y+2=-21 4-y+2=7