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120202: ESM4A - N UMERICAL M ETHODS Spring 2010
Prof. Dr. Lars Linsen Orif Ibrogimov School of Engineering and Science Jacobs University February 09, 2010 Problem Q.2: LU Decomposition. Given matrix 1 0 A= 2 1 -1 5 (3+10+5+2=20 points) 4 1 10 and vector b = 2 . 4 3 (a) Can we use Gaussian elimination with scaled partial pivoting to solve Ax = b for x? Explain! (b) Compute the LU decomposition of matrix A using Gaussian elimination with scaled partial pivoting. (c) Use the LU decomposition to solve Ax = b for x. (d) For any matrix A of size n n, give the time complexity for the steps in parts (b) and (c) with respect to n. ...
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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