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Question 5. Given the tridiagonal matrix 1.58 0.6004 0. 0.91 1.9458 1.296 0.11 1.5491 0.8614 0. 0.93 2.0687 work out the values l, i = 1,...,4 and u;, i = 1,...,3 in the LU factorisation A = LU with 0 0 ri ul 0 1 11

Question 5. Given the tridiagonal matrix 1.58 0.6004 0. 0.91 1.9458 1.296 0.11 1.5491 0.8614 0. 0.93 2.0687 work out the values l, i = 1,...,4 and u;, i = 1,...,3 in the LU factorisation A = LU with 0 0 ri ul 0 1 11

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 5. Given the tridiagonal matrix [1.58 0.6004 0.91 1.9458 1.296 0.11 1.5491 0.8614 0.93 2.0687 work out the values l;, i = 1,...,4 and u;, i = 1,..., 3 in the LU factorisation A = LU with 3 l1 r1 ul 0.91 12 0. U = 4 1 u2 L = 0.11 13 1 из 15 0.93 14 1 e Use the LU factorisation to solve the system Ax = b with -0.327376 3.465528 b = 3.081574 L-3.456302 for ri, i = 1, ...,4 Use at least 6 decimal places for your calculations and specify your final results to 2 decimal places. (a) l1 = l2 = l3 = 14 (b) uj = u2 = uz = (c) 1 = 23 = P Type here to search 1080 acer F6 F8 DIO A
Transcribed Image Text:Question 5. Given the tridiagonal matrix [1.58 0.6004 0.91 1.9458 1.296 0.11 1.5491 0.8614 0.93 2.0687 work out the values l;, i = 1,...,4 and u;, i = 1,..., 3 in the LU factorisation A = LU with 3 l1 r1 ul 0.91 12 0. U = 4 1 u2 L = 0.11 13 1 из 15 0.93 14 1 e Use the LU factorisation to solve the system Ax = b with -0.327376 3.465528 b = 3.081574 L-3.456302 for ri, i = 1, ...,4 Use at least 6 decimal places for your calculations and specify your final results to 2 decimal places. (a) l1 = l2 = l3 = 14 (b) uj = u2 = uz = (c) 1 = 23 = P Type here to search 1080 acer F6 F8 DIO A
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