Example 2 Use Cholesky's LU factorization method to solve the system 16x, – 12x, – 12x3– 16x4 = 16 %3D - -12x, + 25x, + X3 – 4x4 = – 68 -12x, + X2 + 17x3 + 14x, = - 20 -16x1 – 4x2 + 14x3 + 57x, = 158 %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.1: Systems Of Equations
Problem 6E
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Example 2
Use Cholesky's LU factorization method to solve the system
16x, – 12x, – 12x3– 16x, =
16
%3D
-
-12x, + 25x2 + X3 – 4X4
= - 68
-12x, + X2 + 17x3 + 14x, = - 20
-16x, – 4x, + 14x; + 57x4 = 158
%3D
Transcribed Image Text:Example 2 Use Cholesky's LU factorization method to solve the system 16x, – 12x, – 12x3– 16x, = 16 %3D - -12x, + 25x2 + X3 – 4X4 = - 68 -12x, + X2 + 17x3 + 14x, = - 20 -16x, – 4x, + 14x; + 57x4 = 158 %3D
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