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chw7 - n without going through Gram-Schmidt for n = 5 10...

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Math 128a, fall 2011, Chorin, computer homework 7. Write, or borrow, a computer program for solving the linear system Ax = f by Gaussian elimination with at least partial pivoting ( A is an n by n matrix and x, f are n -dimensional vectors). Use this program to find the best least squares approximation to the function e x on [0 , 1] by a polynomial of degree
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Unformatted text preview: n without going through Gram-Schmidt, for n = 5 , 10 , 15 (see theory homework 10). In each case, try to do iterative improvement and estimate the condition number of the matrix. (see theory homework 10). (There will be a writeup on iterative improvement on this website in a few days). 1...
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