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Ch07-1 Jacobi & Gauss-Seidel Iterative Techniques I Dr. Feras Fraige

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Page 1: Ch07-1 Jacobi & Gauss-Seidel Iterative Techniques Ifac.ksu.edu.sa/.../ch07-1_jacobi_and_gauss-seidel...The Jacobi & Gauss-Seidel Methods Intyroduction o We will now describe the Jacobi

Ch07-1 Jacobi & Gauss-Seidel Iterative Techniques I

Dr. Feras Fraige

Page 2: Ch07-1 Jacobi & Gauss-Seidel Iterative Techniques Ifac.ksu.edu.sa/.../ch07-1_jacobi_and_gauss-seidel...The Jacobi & Gauss-Seidel Methods Intyroduction o We will now describe the Jacobi

Outline

1 Introducing Iterative Techniques for Linear Systems

2 The Jacobi Iterative Method 3 Converting Ax = b into an Equivalent System 4 The Jacobi Iterative Algorithm

Page 3: Ch07-1 Jacobi & Gauss-Seidel Iterative Techniques Ifac.ksu.edu.sa/.../ch07-1_jacobi_and_gauss-seidel...The Jacobi & Gauss-Seidel Methods Intyroduction o We will now describe the Jacobi

Page 4: Ch07-1 Jacobi & Gauss-Seidel Iterative Techniques Ifac.ksu.edu.sa/.../ch07-1_jacobi_and_gauss-seidel...The Jacobi & Gauss-Seidel Methods Intyroduction o We will now describe the Jacobi

Page 5: Ch07-1 Jacobi & Gauss-Seidel Iterative Techniques Ifac.ksu.edu.sa/.../ch07-1_jacobi_and_gauss-seidel...The Jacobi & Gauss-Seidel Methods Intyroduction o We will now describe the Jacobi

Page 6: Ch07-1 Jacobi & Gauss-Seidel Iterative Techniques Ifac.ksu.edu.sa/.../ch07-1_jacobi_and_gauss-seidel...The Jacobi & Gauss-Seidel Methods Intyroduction o We will now describe the Jacobi

Page 7: Ch07-1 Jacobi & Gauss-Seidel Iterative Techniques Ifac.ksu.edu.sa/.../ch07-1_jacobi_and_gauss-seidel...The Jacobi & Gauss-Seidel Methods Intyroduction o We will now describe the Jacobi

Page 8: Ch07-1 Jacobi & Gauss-Seidel Iterative Techniques Ifac.ksu.edu.sa/.../ch07-1_jacobi_and_gauss-seidel...The Jacobi & Gauss-Seidel Methods Intyroduction o We will now describe the Jacobi

Page 9: Ch07-1 Jacobi & Gauss-Seidel Iterative Techniques Ifac.ksu.edu.sa/.../ch07-1_jacobi_and_gauss-seidel...The Jacobi & Gauss-Seidel Methods Intyroduction o We will now describe the Jacobi

Page 10: Ch07-1 Jacobi & Gauss-Seidel Iterative Techniques Ifac.ksu.edu.sa/.../ch07-1_jacobi_and_gauss-seidel...The Jacobi & Gauss-Seidel Methods Intyroduction o We will now describe the Jacobi

Page 11: Ch07-1 Jacobi & Gauss-Seidel Iterative Techniques Ifac.ksu.edu.sa/.../ch07-1_jacobi_and_gauss-seidel...The Jacobi & Gauss-Seidel Methods Intyroduction o We will now describe the Jacobi

Page 12: Ch07-1 Jacobi & Gauss-Seidel Iterative Techniques Ifac.ksu.edu.sa/.../ch07-1_jacobi_and_gauss-seidel...The Jacobi & Gauss-Seidel Methods Intyroduction o We will now describe the Jacobi

Page 13: Ch07-1 Jacobi & Gauss-Seidel Iterative Techniques Ifac.ksu.edu.sa/.../ch07-1_jacobi_and_gauss-seidel...The Jacobi & Gauss-Seidel Methods Intyroduction o We will now describe the Jacobi

Page 14: Ch07-1 Jacobi & Gauss-Seidel Iterative Techniques Ifac.ksu.edu.sa/.../ch07-1_jacobi_and_gauss-seidel...The Jacobi & Gauss-Seidel Methods Intyroduction o We will now describe the Jacobi

Page 15: Ch07-1 Jacobi & Gauss-Seidel Iterative Techniques Ifac.ksu.edu.sa/.../ch07-1_jacobi_and_gauss-seidel...The Jacobi & Gauss-Seidel Methods Intyroduction o We will now describe the Jacobi

Page 16: Ch07-1 Jacobi & Gauss-Seidel Iterative Techniques Ifac.ksu.edu.sa/.../ch07-1_jacobi_and_gauss-seidel...The Jacobi & Gauss-Seidel Methods Intyroduction o We will now describe the Jacobi

Page 17: Ch07-1 Jacobi & Gauss-Seidel Iterative Techniques Ifac.ksu.edu.sa/.../ch07-1_jacobi_and_gauss-seidel...The Jacobi & Gauss-Seidel Methods Intyroduction o We will now describe the Jacobi

Page 18: Ch07-1 Jacobi & Gauss-Seidel Iterative Techniques Ifac.ksu.edu.sa/.../ch07-1_jacobi_and_gauss-seidel...The Jacobi & Gauss-Seidel Methods Intyroduction o We will now describe the Jacobi

Page 19: Ch07-1 Jacobi & Gauss-Seidel Iterative Techniques Ifac.ksu.edu.sa/.../ch07-1_jacobi_and_gauss-seidel...The Jacobi & Gauss-Seidel Methods Intyroduction o We will now describe the Jacobi

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