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Tikhonov normal equation
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Mathematics
Area of mathematics
Analysis
Inverse problem
Regularization of an inverse problem
Tikhonov regularization
Created
2026-09-28
Updated
2026-10-05
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The unique minimizer of
∥
A
u
−
f
∥
2
+
α
∥
u
∥
2
satisfies
(
A
∗
A
+
α
I
)
u
=
A
∗
f
.
(1)
Ancestors
(7)
Tikhonov regularization
Regularization of an inverse problem
Inverse problem
Analysis
Area of mathematics
Mathematics
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Normal equation for coercive Tikhonov regularization
Past exam of the mathematics course of the University of Cambridge
/
2008
/
iii
/
Paper 88
/
5
/
d
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2009
/
iii
/
Paper 78
/
5
/
b
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2012
/
iii
/
Paper 78
/
4
/
b
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2018
/
iii
/
Paper 326
/
2
/
1
/
a
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2022
/
iii
/
Paper 326
/
2
/
b
/
iv
/
Solution
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