Fixed-point iterations in determining the Tikhonov regularization parameter
نویسندگان
چکیده
منابع مشابه
Fixed-point iterations in determining a Tikhonov regularization parameter in Kirsch's factorization method
Kirsch’s factorization method is a fast inversion technique for visualizing the profile of a scatterer from measurements of the far-field pattern. The mathematical basis of this method is given by the far-field equation, which is a Fredholm integral equation of the first kind in which the data function is a known analytic function and the integral kernel is the measured (and therefore noisy) fa...
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Recall that a vector norm on R is a mapping ‖·‖ : R → R satisfying the following conditions: • ‖x‖ > 0 for x 6= 0. • ‖λx‖ = |λ|‖x‖ for x ∈ R and λ ∈ R. • ‖x+ y‖ ≤ ‖x‖+ ‖y‖ for all x, y ∈ R. Since the space Rn×n of all matrices is also a vector space, it is also possible to consider norms there. In contrast to usual vectors, it is, however, also possible to multiply matrices (that is, the matric...
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ژورنال
عنوان ژورنال: Inverse Problems
سال: 2008
ISSN: 0266-5611,1361-6420
DOI: 10.1088/0266-5611/24/3/035001