Cholesky's Method • Check if symmetric • A = AT 1 1 1 1 2 2 1 2 3 11 1 Given: AT = 1 2 2 1 2 3 A = X, + X2 + X3 = 5 X, + 2X2 + 2X3 = 6 X, + 2X2 + 3X3 = 8 %3D
Cholesky's Method • Check if symmetric • A = AT 1 1 1 1 2 2 1 2 3 11 1 Given: AT = 1 2 2 1 2 3 A = X, + X2 + X3 = 5 X, + 2X2 + 2X3 = 6 X, + 2X2 + 3X3 = 8 %3D
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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ANSWER THE FOLLOWING WITH COMPLETE SOLUTION
Transcribed Image Text:Cholesky's Method
• Check if symmetric
• A = AT
1 1 1
1 2 2
1 2 3
1 1 1
AT = 1 2 2
1 2 3
Given:
A =
X, + X2 + X3 = 5
X, + 2X2 + 2X3 = 6
X, + 2X2 + 3X3 = 8
%3D
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