Question 5. Given the tridiagonal matrix 1.5 1.485 0.99 2.3301 0.891 0. 0.73 2.4518 0.3546 0.49 1.9982 work out the values l4, i = 1, .,4 and u, i = 1,.,3 in the LU factorisation A = LU with l1 0. 0. 07 ul 0. 0.99 12 0. 1. u2 0.73 U = 0. 13 u3 0.49 14 Use the LU factorisation to solve the system Ar = b with 13.1961 11.101356 7.590892 10.059902
Question 5. Given the tridiagonal matrix 1.5 1.485 0.99 2.3301 0.891 0. 0.73 2.4518 0.3546 0.49 1.9982 work out the values l4, i = 1, .,4 and u, i = 1,.,3 in the LU factorisation A = LU with l1 0. 0. 07 ul 0. 0.99 12 0. 1. u2 0.73 U = 0. 13 u3 0.49 14 Use the LU factorisation to solve the system Ar = b with 13.1961 11.101356 7.590892 10.059902
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
1.5
1.485
0.99 2.3301
0.891
0.73
2.4518 0.3546
0.49
1.9982
work out the values l4, i = 1, .,4 and u;, i
=1,...,3 in the LU factorisation A= LUwith
l1
ul
0.
0.99
12
0.
1
u2
U =
0.73
13
u3
0.
0.49 14
Use the LU factorisation to solve the system Ar = b with
13.1961
11.101356
7.590892
10.059902
Transcribed Image Text:0.73
13
0 0 1
u3
0.49
Lo 0
0 1
Use the LU factorisation to solve the system Ar = b with
13.1961
11.101356
7.590892
10.059902
for z;, i = 1, .. ,4
Use at least 6 decimal places for your calculations and specify your final results to 2 decimal places.
(a) li =
12
44-
(b) u =
(c) ri =
23=
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