quiz-03 - Q UIZ 3 120202: ESM4A - N UMERICAL M ETHODS...

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Unformatted text preview: Q UIZ 3 120202: ESM4A - N UMERICAL M ETHODS Spring 2010 Prof. Dr. Lars Linsen Orif Ibrogimov School of Engineering and Science Jacobs University February 23, 2010 Problem Q.3: Jacobi iteration. Given the system of linear equations 5x1 + 2x2 - 2x3 x1 + 6x2 - 2x3 x2 + 4x3 = 10 (5+10+5=20 points) = -6 = 8 (a) For what starting points can we apply the Jacobi iteration? Explain your answer. (b) Given starting point x0 = 0, execute the first two steps of a Jacobi iteration, i. e. compute x1 and x2 . (c) Show that the Jacobi iteration for solving linear equation systems is consistent. ...
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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.

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