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Unformatted text preview: x 1 x 2 x 3 and b = 1-8 2 . 5 ( 10 points ) 3.3. Let A be a strictly diagonal dominant matrix, i.e. | a ii | > X i 6 = j | a ij | for all rows i . (a) Prove that the Jacobi iteration for solving the linear equation system Ax = b converge for any starting point. (Bonus) Prove that the Gauss-Seidel iteration for solving the linear equation system Ax = b converge for any starting point. ( ?+? points ) Due: 17.02.10, at 3 pm (in the mailbox labeled Linsen in the entrance hall of Res.I )...
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This note was uploaded on 05/18/2010 for the course MATHEMATIC 120102 taught by Professor Xxxxxxxxxyyyyyy during the Spring '10 term at Jacobs University Bremen.
- Spring '10