w4l1. jacobi methodthe jacobi iteration method is defined as all ct22 12 2 13 3 + ct23x3 + (1.46) al...
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![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](https://reader035.vdocuments.us/reader035/viewer/2022081400/60b18ac0e4d9d7564e398f94/html5/thumbnails/1.jpg)
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](https://reader035.vdocuments.us/reader035/viewer/2022081400/60b18ac0e4d9d7564e398f94/html5/thumbnails/2.jpg)
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](https://reader035.vdocuments.us/reader035/viewer/2022081400/60b18ac0e4d9d7564e398f94/html5/thumbnails/3.jpg)
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](https://reader035.vdocuments.us/reader035/viewer/2022081400/60b18ac0e4d9d7564e398f94/html5/thumbnails/4.jpg)
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](https://reader035.vdocuments.us/reader035/viewer/2022081400/60b18ac0e4d9d7564e398f94/html5/thumbnails/5.jpg)
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](https://reader035.vdocuments.us/reader035/viewer/2022081400/60b18ac0e4d9d7564e398f94/html5/thumbnails/6.jpg)
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](https://reader035.vdocuments.us/reader035/viewer/2022081400/60b18ac0e4d9d7564e398f94/html5/thumbnails/7.jpg)
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](https://reader035.vdocuments.us/reader035/viewer/2022081400/60b18ac0e4d9d7564e398f94/html5/thumbnails/8.jpg)
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](https://reader035.vdocuments.us/reader035/viewer/2022081400/60b18ac0e4d9d7564e398f94/html5/thumbnails/9.jpg)
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](https://reader035.vdocuments.us/reader035/viewer/2022081400/60b18ac0e4d9d7564e398f94/html5/thumbnails/10.jpg)
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](https://reader035.vdocuments.us/reader035/viewer/2022081400/60b18ac0e4d9d7564e398f94/html5/thumbnails/11.jpg)
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](https://reader035.vdocuments.us/reader035/viewer/2022081400/60b18ac0e4d9d7564e398f94/html5/thumbnails/12.jpg)
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](https://reader035.vdocuments.us/reader035/viewer/2022081400/60b18ac0e4d9d7564e398f94/html5/thumbnails/13.jpg)
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](https://reader035.vdocuments.us/reader035/viewer/2022081400/60b18ac0e4d9d7564e398f94/html5/thumbnails/14.jpg)
Remark