) ) Given a set of data points (t.. yi) as below ty 1 10 2 5.49 3 0.89 -0.14 5 -1.07 6 0.84 The function f(t, x₁, x₂) = x₁ exp(-t x2) is proposed to fit the data above Table. (a) Write the objection function of the least square minimization problem. (b) Apply 1 iteration of Gauss Newton method to above problem using initial guess 21 10 and 2 = 0.001.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Given a set of data points (ti. yi) as below
ty
1
10
2
5.49
3 0.89
4
-0.14
5 -1.07
6 0.84
The function f(t, x₁, x₂) = x₁ exp(-t 2) is proposed to fit the data above Table.
(a) Write the objection function of the least square minimization problem.
(b) Apply 1 iteration of Gauss Newton method to above problem using initial guess
21 = 10 and 2 = 0.001.
Transcribed Image Text:Given a set of data points (ti. yi) as below ty 1 10 2 5.49 3 0.89 4 -0.14 5 -1.07 6 0.84 The function f(t, x₁, x₂) = x₁ exp(-t 2) is proposed to fit the data above Table. (a) Write the objection function of the least square minimization problem. (b) Apply 1 iteration of Gauss Newton method to above problem using initial guess 21 = 10 and 2 = 0.001.
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