W4L1. Jacobi methodThe Jacobi iteration method is defined as all ct22 12 2 13 3 + ct23x3 + (1.46) al...

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W4L1. Iteration methods. Reference book: Numerical Methods, S. Iyengar, R. Jain

Transcript of W4L1. Jacobi methodThe Jacobi iteration method is defined as all ct22 12 2 13 3 + ct23x3 + (1.46) al...

Page 1: W4L1. Jacobi methodThe Jacobi iteration method is defined as all ct22 12 2 13 3 + ct23x3 + (1.46) al IXI + a 12X2 + a 13X3 = bl ct21X1 + ct22X2 + a23X3 = b2 NILE UNIVERSITY . Remark

W4L1.Iteration methods.

Reference book: Numerical Methods, S. Iyengar, R. Jain

Page 2: W4L1. Jacobi methodThe Jacobi iteration method is defined as all ct22 12 2 13 3 + ct23x3 + (1.46) al IXI + a 12X2 + a 13X3 = bl ct21X1 + ct22X2 + a23X3 = b2 NILE UNIVERSITY . Remark

Iteration methods

Page 3: W4L1. Jacobi methodThe Jacobi iteration method is defined as all ct22 12 2 13 3 + ct23x3 + (1.46) al IXI + a 12X2 + a 13X3 = bl ct21X1 + ct22X2 + a23X3 = b2 NILE UNIVERSITY . Remark

Gauss-Jacobi

Page 4: W4L1. Jacobi methodThe Jacobi iteration method is defined as all ct22 12 2 13 3 + ct23x3 + (1.46) al IXI + a 12X2 + a 13X3 = bl ct21X1 + ct22X2 + a23X3 = b2 NILE UNIVERSITY . Remark

Remarks

Page 5: W4L1. Jacobi methodThe Jacobi iteration method is defined as all ct22 12 2 13 3 + ct23x3 + (1.46) al IXI + a 12X2 + a 13X3 = bl ct21X1 + ct22X2 + a23X3 = b2 NILE UNIVERSITY . Remark

Example

Page 6: W4L1. Jacobi methodThe Jacobi iteration method is defined as all ct22 12 2 13 3 + ct23x3 + (1.46) al IXI + a 12X2 + a 13X3 = bl ct21X1 + ct22X2 + a23X3 = b2 NILE UNIVERSITY . Remark

Solution

Page 7: W4L1. Jacobi methodThe Jacobi iteration method is defined as all ct22 12 2 13 3 + ct23x3 + (1.46) al IXI + a 12X2 + a 13X3 = bl ct21X1 + ct22X2 + a23X3 = b2 NILE UNIVERSITY . Remark

Solution

Page 8: W4L1. Jacobi methodThe Jacobi iteration method is defined as all ct22 12 2 13 3 + ct23x3 + (1.46) al IXI + a 12X2 + a 13X3 = bl ct21X1 + ct22X2 + a23X3 = b2 NILE UNIVERSITY . Remark

Solution

Page 9: W4L1. Jacobi methodThe Jacobi iteration method is defined as all ct22 12 2 13 3 + ct23x3 + (1.46) al IXI + a 12X2 + a 13X3 = bl ct21X1 + ct22X2 + a23X3 = b2 NILE UNIVERSITY . Remark

Solution

Page 10: W4L1. Jacobi methodThe Jacobi iteration method is defined as all ct22 12 2 13 3 + ct23x3 + (1.46) al IXI + a 12X2 + a 13X3 = bl ct21X1 + ct22X2 + a23X3 = b2 NILE UNIVERSITY . Remark

Example

Page 11: W4L1. Jacobi methodThe Jacobi iteration method is defined as all ct22 12 2 13 3 + ct23x3 + (1.46) al IXI + a 12X2 + a 13X3 = bl ct21X1 + ct22X2 + a23X3 = b2 NILE UNIVERSITY . Remark

Solution

Page 12: W4L1. Jacobi methodThe Jacobi iteration method is defined as all ct22 12 2 13 3 + ct23x3 + (1.46) al IXI + a 12X2 + a 13X3 = bl ct21X1 + ct22X2 + a23X3 = b2 NILE UNIVERSITY . Remark

Solution

Page 13: W4L1. Jacobi methodThe Jacobi iteration method is defined as all ct22 12 2 13 3 + ct23x3 + (1.46) al IXI + a 12X2 + a 13X3 = bl ct21X1 + ct22X2 + a23X3 = b2 NILE UNIVERSITY . Remark

Solution

Page 14: W4L1. Jacobi methodThe Jacobi iteration method is defined as all ct22 12 2 13 3 + ct23x3 + (1.46) al IXI + a 12X2 + a 13X3 = bl ct21X1 + ct22X2 + a23X3 = b2 NILE UNIVERSITY . Remark

Remark


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