Given the tridiagonal matrix 1.97 1.5366 0. 0. 0.13 1.9514 1.665 0. 0.95 2.285 0.3146 0.17 1.7974 work out the values 4,i=1,..,4 and t, i-1,...,3 in the LU factorisation A= LU with !3! ..... 11 0. 0. ul 0.13 12 0. 1 u2 L= 0. 13 ,U 0.95 1 u3 0. 0. 0.17 14 Use the LU factorisation to solve the system Ar b with 9.484368 1.473878 2.956984 8.066254 for , i 1,..., 4 Use at least 6 decimal places for your calculations and specify your final results to 2 decimal places (a) (b) ui u2 (c) *1
Given the tridiagonal matrix 1.97 1.5366 0. 0. 0.13 1.9514 1.665 0. 0.95 2.285 0.3146 0.17 1.7974 work out the values 4,i=1,..,4 and t, i-1,...,3 in the LU factorisation A= LU with !3! ..... 11 0. 0. ul 0.13 12 0. 1 u2 L= 0. 13 ,U 0.95 1 u3 0. 0. 0.17 14 Use the LU factorisation to solve the system Ar b with 9.484368 1.473878 2.956984 8.066254 for , i 1,..., 4 Use at least 6 decimal places for your calculations and specify your final results to 2 decimal places (a) (b) ui u2 (c) *1
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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Transcribed Image Text:Given the tridiagonal matrix
1.97 1.5366
0.13 1.9514
1.665
0.95
2.285 0.3146
0.17
1.7974
work out the values 4, i=1,...,4 and u, i=1,...,3 in the LU factorisation A= LUwith
11
1
ul
0.13
12
0.
0.
u2
L=
0.95
13
1
u3
0.17 14
1
Use the LU factorisation to solve the system Ar = bwith
-9.484368
1.473878
2.956984
8.066254
for , i
1, ...,4
Use at least 6 decimal places for your calculations and specify your final results to 2 decimal places.
(a)
(b) u
(c) I
0
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