This preview shows page 1. Sign up to view the full content.
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. ...
View Full Document