View License

Download apps, toolboxes, and other File Exchange content using Add-On Explorer in MATLAB.

» Watch video

Highlights from
Regularization Kaczmarz Tools Version 1.4 for Matlab

Join the 15-year community celebration.

Play games and win prizes!

» Learn more

Be the first to rate this file! 9 Downloads (last 30 days) File Size: 127 KB File ID: #43791 Version: 1.4.1
image thumbnail

Regularization Kaczmarz Tools Version 1.4 for Matlab



07 Oct 2013 (Updated )

Implementation of algorithms based on Kaczmarz method for various linear systems

| Watch this File

File Information

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.


Regtools inspired this file.

Required Products MATLAB
MATLAB release MATLAB 7.13 (R2011b)
MATLAB Search Path
Other requirements Dependency:
Tags for This File   Please login to tag files.
Please login to add a comment or rating.
08 Oct 2013 1.1

Title changing.

22 Jan 2014 1.2

Added a link to the main article.

20 Oct 2014 1.3

Added two new methods and updated examples. Increased to 1.1 version.

15 Aug 2015 1.4

Changes: summary, and description. Added new algorithms.

15 Aug 2015 1.4.1

Minor updates

Contact us