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Regularization Kaczmarz Tools Version 1.1 for Matlab

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Regularization Kaczmarz Tools Version 1.1 for Matlab

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07 Oct 2013 (Updated )

Regularization Column version of Kaczmarz algorithmfor solving ill-posed systems

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Description

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.

Ivanov A.A., Zhdanov A.I. Kaczmarz algorithm for Tikhonov regularization problem, Appl. Math. E-Notes, 13(2013), pp. 270-276.

http://www.math.nthu.edu.tw/~amen/2013/1302252(final).pdf

Required Products MATLAB
MATLAB release MATLAB 7.13 (R2011b)
MATLAB Search Path
/
/html
Other requirements Dependency: http://www.mathworks.com/matlabcentral/fileexchange/52-regtools http://www2.imm.dtu.dk/~pcha/AIRtools/
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Updates
08 Oct 2013

Title changing.

22 Jan 2014

Added a link to the main article.

20 Oct 2014

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

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