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rilt

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rilt

by Iari-Gabriel Marino

 

10 Dec 2004 (Updated 10 May 2007)

Regularized Inverse Laplace Transform

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Description

rilt Regularized Inverse Laplace Transform
  
[g,yfit,cfg] = rilt(t,y,s,g0,alpha)
  
Array g(s) is the Inverse Laplace Transform of the array y(t), calculated by a regularized least squares method.

This script is an emulation of S. Provencher CONTIN program, written in Fortran. See http://s-provencher.com/pages/contin.shtml.

MATLAB release MATLAB 7.3 (R2006b)
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Comments and Ratings (9)
19 Sep 2005 c rod  
28 Sep 2005 Heiner Hegewald

I have to test it more deeply.

27 Mar 2007 lu yijie

its good

15 Oct 2008 Sean Gu

It has been 20 minutes and matlab is still running with this program. Seems it needs to optimize the search to improve the time for regulization

05 Apr 2010 John

I spent several days trying to use Provencher's original CONTIN program. It is many things, but user-friendly is not one of them, especially since I haven't written in Fortran since about 1987. In contrast, I got this program running in seconds, and convinced myself that it was working properly after playing with it for an hour or so. It will become a standard tool for my research group. Many thanks!

30 Jul 2010 L H

The program is great and lets the user to avoid the trouble of dealing with the original Fortran CONTIN program. The program works great, although I have just a couple comments:
- The "s" array fed to rilt is actually a tau array (s = 1/tau).
- "rilt.m" should be called "rlm.m" because it is actually the forward transform by the majority of definitions I've ever seen. L[f(t)] = F(s) = F(1/tau) is the forward transform.

That said, I want to say thank-you to the programmer. This routine has helped me out with an aspect of my thesis.

17 Jan 2011 Xinjun Xinjun

It is very easy to use,compared with CONTIN.

10 Mar 2011 trabelsi saber

Hello, I want to use the program rilt to determine the inverse Laplace tronsform of the autocorrelation function g1(t)=exp(-t/tau). but I did not understand the input variables g0 and S.
sincerly yours.

18 Mar 2011 Xinjun Xinjun

Usually the original CONTIN use the second-order difference operator,which gives the smoothest solution. If the rilt uses the second order difference operator,it will be more closer to the original CONTIN.

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Updates
23 Dec 2004

Several bugs fixed.
Major improvement: [1-exp(-t/s)] dynamics can be fitted now.
Minor improvements added.

23 Dec 2004

Several bugs fixed.
Major improvement: [1-exp(-t/s)] dynamics can be fitted now.
Minor improvements added.

11 Jan 2005

Wrong help fixed.

10 May 2007

Global revision

Tag Activity for this File
Tag Applied By Date/Time
optimization Iari-Gabriel Marino 22 Oct 2008 07:37:51
regularized Iari-Gabriel Marino 22 Oct 2008 07:37:51
inverse Iari-Gabriel Marino 22 Oct 2008 07:37:51
laplace Iari-Gabriel Marino 22 Oct 2008 07:37:51
transform Iari-Gabriel Marino 22 Oct 2008 07:37:51
resolution Iari-Gabriel Marino 22 Oct 2008 07:37:51
integral Iari-Gabriel Marino 22 Oct 2008 07:37:51

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