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NLCSmoothReg

2.0

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NLCSmoothReg

by Michael Wendlandt

 

24 May 2005 (Updated 26 Sep 2006)

Computes a smooth regularized solution of an ill-posed discrete linear inverse problem.

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Description

This package computes a smooth regularized solution of an ill-posed linear inverse problem by a non-linear constraint minimization algorithm using the L-curve criterion. Implemented regularization schemes are Tikhonov, Tikhonov-Phillips, and quadratic variation for 2D problems (-> Wendlandt, M., Van Beek, J.D., Suter, U.W., Meier, B.H., "Determination of orientational order in deformed glassy PMMA from solid-state NMR data." Macromolecules 2005, Vol. 38, Issue 20, 8372-8380).

Acknowledgements

The author wishes to acknowledge the following in the creation of this submission:
regtools

Required Products Optimization Toolbox
MATLAB release MATLAB 6.5 (R13)
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Comments and Ratings (1)
11 May 2007 Vassilis Kontogiorgos

Very slow algorithms. Poor documentation

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Updates
17 Jun 2005

Error in the documentation

17 Jun 2005

updated documentation

20 Jun 2005

updated documentation

27 Jun 2005

updated documentation

30 Jun 2005

correction of the following bug: if parameter 'as' was set to 'on', the upper and lower bound for the solution didn't work properly.

05 Jul 2005

bug fix: upper bound now working propoerly.

01 Sep 2005

updated reference in documentation

26 Sep 2006

Broken link in the description.

Tag Activity for this File
Tag Applied By Date/Time
linear algebra Michael Wendlandt 22 Oct 2008 07:49:08
tikhonov phillips regularization Michael Wendlandt 22 Oct 2008 07:49:08
illposed Michael Wendlandt 22 Oct 2008 07:49:08
inverse Michael Wendlandt 22 Oct 2008 07:49:08
problems Michael Wendlandt 22 Oct 2008 07:49:08

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