Solve the tri-diagonal linear of equations system below using Thomas Algorithm. (2.04 -1 -1 2.04 -1 -1 2.04 -1 -1 2.04

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.3: Systems Of Inequalities
Problem 15E
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Solve the tri-diagonal linear of equations system below using Thomas Algorithm
Solve the tri-diagonal linear of equations system below using Thomas Algorithm.
(2.04
-1
-1 2.04
-1
-1
2.04
-1
0 0 -1
2.04.
Thomas algorithm:
(vii)
Decomposition:
and
f. = f -ě, - 81-1, where k = 2,3,4,–
‚n.
(viii)
Forward substitution:
7 = r, - 7, .7, where k = 2,3,4,-
–,n.
(ix)
Back substitution:
and X
where k = n-1,n– 2,-----,2,1
%3D
Transcribed Image Text:Solve the tri-diagonal linear of equations system below using Thomas Algorithm. (2.04 -1 -1 2.04 -1 -1 2.04 -1 0 0 -1 2.04. Thomas algorithm: (vii) Decomposition: and f. = f -ě, - 81-1, where k = 2,3,4,– ‚n. (viii) Forward substitution: 7 = r, - 7, .7, where k = 2,3,4,- –,n. (ix) Back substitution: and X where k = n-1,n– 2,-----,2,1 %3D
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