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To solve the inverse problem, we propose a special iterative approach based on the regularization technique.
These iterative algorithms are based on the regularization method, the viscosity approximation method, the relaxed method in [8] and the hybrid method in [10].
In this article, we introduce implicit and explicit iterative schemes based on the regularization for solving a constrained convex minimization problem.
We numerically solve the family of integral equations under consideration by a collocation method and provide a study of reconstructions based on the regularization of the ill-posed integral operators under consideration.
For a better reconstruction result, Needell and Vershynin introduced the regularization constraint to the atom selection strategy of regularized orthogonal matching pursuit (ROMP) algorithm, which selects K optimal-related atoms, then reselect atoms from the previous selected K atom based on the regularization constraint [17].
The size distribution of scattering particles was reconstructed from the scattered light correlation function using PrecisionDeconvolve software (Precision Detectors) based on the regularization method by Tikhonov and Arsenin (Tikhonov and Arsenin, 1977).
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The regularizing strategy employed in [2] is essentially based on the Tikhonov regularization and the conditional stability estimate ∥ u y ( 0 ) ∥ ≤ E for some a priori constant E.
The estimation algorithm is based on the iterative regularization method and on the conjugate gradient and adjoint methods.
The proposed SRR algorithm is based on the stochastic regularization technique of Bayesian MAP estimation by minimizing a cost function.
In both techniques an efficient technique based on the Tikhonov regularization technique with GCV function method is employed to solve the resulting ill-conditioned linear system.
An inverse algorithm based on the Iterative Regularization Method (IRM) is applied in this study in determining the unknown time-dependent reaction coefficient for an autocatalytic reaction pathway by using measurements of concentration components.
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