This computationally oriented book describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and …
This monograph is a valuable contribution to the highly topical and extremly productive field of regularisation methods for inverse and ill-posed problems. The author is an internationally …
A Doicu, T Trautmann, F Schreier - 2010 - books.google.com
The retrieval problems arising in atmospheric remote sensing belong to the class of the- called discrete ill-posed problems. These problems are unstable under data perturbations …
In this paper we propose and analyse a choice of parameters in the multi-parameter regularization of Tikhonov type. A modified discrepancy principle is presented within the …
H Guo, S Liu, H Cheng, S Sun, J Ding, H Guo - Chemical Engineering …, 2020 - Elsevier
The electrical capacitance tomography (ECT) is a promising measurement technique, which tries to reconstruct the permittivity distribution in a measurement domain by solving an …
DA Balakin, DP Agapov, PP Gostev… - Journal of Experimental …, 2022 - Springer
We have applied the measurement reduction technique for the ghost imaging (GI) in fiber optics systems. Ghost images have been reconstructed by numerical simulation of the …
R Ahmad, P Schniter - IEEE transactions on computational …, 2015 - ieeexplore.ieee.org
Motivated by the observation that a given signal x admits sparse representations in multiple dictionaries Ψ d but with varying levels of sparsity across dictionaries, we propose two new …
L Reichel, F Sgallari, Q Ye - Applied Numerical Mathematics, 2012 - Elsevier
We consider Tikhonov regularization of large linear discrete ill-posed problems with a regularization operator of general form and present an iterative scheme based on a …
In this paper, we discuss several (old and new) estimates for the norm of the error in the solution of systems of linear equations, and we study their properties. Then, these estimates …