scholarly journals Investigation of gas-solid bubbling fluidized beds using ECT with a modified Tikhonov regularization technique

AIChE Journal ◽  
2017 ◽  
Vol 64 (1) ◽  
pp. 29-41 ◽  
Author(s):  
Qiang Guo ◽  
Shuanghe Meng ◽  
Dehu Wang ◽  
Yinfeng Zhao ◽  
Mao Ye ◽  
...  
Keyword(s):  
Tikhonov Regularization ◽  
Fluidized Beds ◽  
Regularization Technique

scholarly journals Global Quasi-Minimal Residual Method for Image Restoration

2015 ◽  
Vol 2015 ◽  
pp. 1-8
Author(s):  
Jun Liu ◽  
Ting-Zhu Huang ◽  
Xiao-Guang Lv ◽  
Hao Xu ◽  
Xi-Le Zhao
Keyword(s):  
Iterative Method ◽  
Image Restoration ◽  
Tikhonov Regularization ◽  
Kronecker Product ◽  
Gmres Method ◽  
Regularization Technique ◽  
Minimal Residual Method ◽  
Ill Posed ◽  
Qmr Method ◽  
Minimal Residual

The global quasi-minimal residual (QMR) method is a popular iterative method for the solution of linear systems with multiple right-hand sides. In this paper, we consider the application of the global QMR method to classical ill-posed problems arising from image restoration. Since the scale of the problem is usually very large, the computations with the blurring matrix can be very expensive. In this regard, we use a Kronecker product approximation of the blurring matrix to benefit the computation. In order to reduce the disturbance of noise to the solution, the Tikhonov regularization technique is adopted to produce better approximation of the desired solution. Numerical results show that the global QMR method outperforms the classic CGLS method and the global GMRES method.

Determination of the Distribution of the Relaxation Times from Dielectric Spectra

2004 ◽  
Vol 9 (1) ◽  
pp. 75-88 ◽  
Author(s):  
J. Macutkevic ◽  
J. Banys ◽  
A. Matulis
Keyword(s):  
Integral Equations ◽  
Tikhonov Regularization ◽  
Regularization Parameter ◽  
Relaxation Times ◽  
Dielectric Susceptibility ◽  
Dynamical Processes ◽  
Regularization Technique ◽  
Dielectric Spectra

The dielectric susceptibility measurements are usually interpreted in terms of the relaxation times of various dynamical processes. Using the simple examples of the simulated spectra it is shown how the distribution of these relaxation times can be obtained by means of the integral equations solved with the Tikhonov regularization technique, and the criteria for the choice of the regularization parameter is discussed.

scholarly journals On tensor GMRES and Golub-Kahan methods via the T-product for color image processing

2021 ◽  
Vol 37 ◽  
pp. 524-543
Author(s):  
Mohamed El Guide ◽  
Alaa El Ichi ◽  
Khalide Jbilou ◽  
Rachid Sadaka
Keyword(s):  
Tikhonov Regularization ◽  
Cross Validation ◽  
Krylov Subspace ◽  
Color Image ◽  
Regularization Parameter ◽  
Color Image Processing ◽  
Regularization Technique ◽  
Image Sequence Processing ◽  
Ill Posed ◽  
Selection Of

The present paper is concerned with developing tensor iterative Krylov subspace methods to solve large multi-linear tensor equations. We use the T-product for two tensors to define tensor tubal global Arnoldi and tensor tubal global Golub-Kahan bidiagonalization algorithms. Furthermore, we illustrate how tensor-based global approaches can be exploited to solve ill-posed problems arising from recovering blurry multichannel (color) images and videos, using the so-called Tikhonov regularization technique, to provide computable approximate regularized solutions. We also review a generalized cross-validation and discrepancy principle type of criterion for the selection of the regularization parameter in the Tikhonov regularization. Applications to image sequence processing are given to demonstrate the efficiency of the algorithms.

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