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A Variant of Projection-Regularization Method for Ill-Posed Linear Operator Equations
International Journal of Computational Methods ( IF 1.4 ) Pub Date : 2020-12-28 , DOI: 10.1142/s0219876221500080 Bechouat Tahar 1, 2 , Boussetila Nadjib 2, 3 , Rebbani Faouzia 2, 4
International Journal of Computational Methods ( IF 1.4 ) Pub Date : 2020-12-28 , DOI: 10.1142/s0219876221500080 Bechouat Tahar 1, 2 , Boussetila Nadjib 2, 3 , Rebbani Faouzia 2, 4
Affiliation
In this paper, we report on a strategy for computing the numerical approximate solution for a class of ill-posed operator equations in Hilbert spaces: K : E → F , K f = g . This approach is a combination of Tikhonov regularization method and the finite rank approximation of K ∗ K . Finally, numerical results are given to show the effectiveness of this method.
中文翻译:
病态线性算子方程的一种投影正则化方法
在本文中,我们报告了一种计算希尔伯特空间中一类不适定算子方程的数值近似解的策略:ķ : 乙 → F , ķ F = G . 这种方法是 Tikhonov 正则化方法和有限秩逼近的组合ķ * ķ . 最后,数值结果表明了该方法的有效性。
更新日期:2020-12-28
中文翻译:
病态线性算子方程的一种投影正则化方法
在本文中,我们报告了一种计算希尔伯特空间中一类不适定算子方程的数值近似解的策略: