HW4 - LU Factorization oF either the matrix H or PH For a...

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1 MACM 316: HOMEWORK ASSIGNMENT 4 Due Date: November 11, 2009 (by Noon) Sections and Problems: § 6.5 # 6a, 10 In the last assignment, you used your Gaussian elimination program to solve the problem Hx = b , where H is the 8 × 8 matrix. H = ( h ij := 1 i + j - 1 ) , i, j = 1 , ··· , 8 and b = ( b i := 1) , i = 1 , ··· , 8. Running a slightly modifed version oF your program, determine whether or not there was any pivoting (any row interchanges). With this inFormation, fnd the
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Unformatted text preview: LU Factorization oF either the matrix H or PH For a suitable permutation matrix P . Then multiply L times U and see how close this product is to the exact H (or PH ). Using this LU Factorization, solve Hx = b For b = 1 1 . . . 1 . 6.6 # 20, 22 7.1 # 2, 6, 12 7.2 # 2dF, 4dF, 6dF, 8dF 7.3 # 6c, 8c,14c...
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This note was uploaded on 11/19/2009 for the course MACM 316 taught by Professor Bobrussell during the Spring '09 term at Simon Fraser.

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