Regularization Kaczmarz Tools Version 1.4 for Matlab
The new version 1.4 includes the original implementations of Block Kaczmarz Algorithm:
* Block Kaczmarz Algorthm based on solving linear systems with arrowhead matrices. Cyclic Control.
* Same as above, but with randomized control scheme for two distribution.
* Direct Projection Method (DPM).
Pending for publishing: July 2015.
For earlier versions (<1.4):
This library contains four new modifications of the algorithm S. Kaczmarz:
* Quasi-optimal Kaczmarz method
* Column Kaczmarz method for Tikhonov regularization problem
* Column Kaczmarz method with quasi-optimal rule for Tikhonov regularization problem
* Randomized Column Kaczmarz method for Tikhonov regularization problem
In this files, we consider Phillips's "famous" test problem. This new algorithms is based on transforming regularized normal equations to the equivalent augmented regularized normal system of equations.
Main article: Ivanov A.A., Zhdanov A.I. Kaczmarz algorithm for Tikhonov regularization problem, Appl. Math. E-Notes, 13(2013), pp. 270-276.
引用格式
Andrey Ivanov (2024). Regularization Kaczmarz Tools Version 1.4 for Matlab (https://www.mathworks.com/matlabcentral/fileexchange/43791-regularization-kaczmarz-tools-version-1-4-for-matlab), MATLAB Central File Exchange. 检索来源 .
MATLAB 版本兼容性
平台兼容性
Windows macOS Linux类别
标签
致谢
参考作品: regtools
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!