Question 5. Given the tridiagonal matrix 1.96 0.9996 0.19 1.8469 0.4025 0.69 1.4087 0.1125 0.98 2.0882 work out the values l;, i = 1, 4 and ui, i = 1,..., 3 in the LU factorisation A = LU with %3D ... 11 [1 ul 0.19 12 1 u2 L = 0.69 13 1 u3 0.98 14 1 Use the LU factorisation to solve the system Ax b with 7.762776 7.048489 0.326538 4.649794. for xi, i = 1, ...,4 Use at least 6 decimal places for your calculations and specify your final results to 2 decimal places. (a) l1 ),l4 %3D %3D (b) u1 , U2 = U3 = (c) x1 , X2 = , X4 = , X3 =
Question 5. Given the tridiagonal matrix 1.96 0.9996 0.19 1.8469 0.4025 0.69 1.4087 0.1125 0.98 2.0882 work out the values l;, i = 1, 4 and ui, i = 1,..., 3 in the LU factorisation A = LU with %3D ... 11 [1 ul 0.19 12 1 u2 L = 0.69 13 1 u3 0.98 14 1 Use the LU factorisation to solve the system Ax b with 7.762776 7.048489 0.326538 4.649794. for xi, i = 1, ...,4 Use at least 6 decimal places for your calculations and specify your final results to 2 decimal places. (a) l1 ),l4 %3D %3D (b) u1 , U2 = U3 = (c) x1 , X2 = , X4 = , X3 =
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:Question 5.
Given the tridiagonal matrix
1.96
0.9996
0.19
1.8469 0.4025
0.69
1.4087 0.1125
0.98
2.0882
work out the values l;,
i
4 and u;, i = 1, ... , 3 in the LU factorisation A = LU with
11
[1
ul
0.19
12
1
u2
L
U=
0.69
13
1
u3
0.98
14
1
Use the LU factorisation to solve the system Ax
b with
7.762776
7.048489
b =
0.326538
4.649794
for xi,l
1,..., 4
Use at least 6 decimal places for your calculations and specify your final results to 2 decimal places.
(a) l1
12
,l3
(b) и1
U2
, U3
(c) x1
, X2 =
, X3
, X4
||
||
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