Article View: sci.math.num-analysis
Article #486Re: HELP: A least-squares problem with nonlinear constraints
From: Rex Tayloe
Date: Thu, 10 Sep 1992 02:18
Date: Thu, 10 Sep 1992 02:18
28 lines
1993 bytes
1993 bytes
In article <0096060C.3C725B20@uinpla.npl.uiuc.edu>, I wrote
>
> I have been struggling with a problem that I have encountered in my thesis
>analysis and would like to pose the problem to see if there might be a kind
>soul out there with some helpful advice.
>
> I am analyzing data from an experiment where we collide antiprotons with
>protons and look at several hyperon channels. My particular goal is to find
>the antiproton,proton->lambda,sigma (pbar,p->LS) events. And, because they
>are very similar, I am also looking at antiproton,proton->lambda,lambdabar
>(pbar,p->LL) events.
>
> So, for each event I want to do a least-squares fit subject to
>energy-momentum conservation at each vertex (3*4 equations for LL, 4*4 for LS).
>The least-squares sum I want to minimize is:
> (ymeas-yfit)V(ymeas-yfit)
> transpose---^^^^^^^^^^
I meant:
(ymeas-yfit)V(-1)(ymeas-yfit)
transpose---^^^^^^^^^^
__ __ ____ __
/__/\ /__/| /____/ \ /__/| Rex Tayloe TAYLOE@uinpla.npl.uiuc.edu
| \\| | || __ \ /|| | | Nuclear Physics Lab TAYLOE@uiucnpl.bitnet
| |\ \| | || |__) |/ | | |__ U of Illinois UINPLA::(47165::)TAYLOE
| | \ | || ___/ | |/__ /| Champaign Il 61820 (317)333-3190
|_|/ \ _|/ |_|/ |_____|/
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Path: arc1-ca.pugleaf.net!sparky!uunet!olivea!spool.mu.edu!sdd.hp.com!ux1.cso.uiuc.edu!news.cso.uiuc.edu!TAYLOE@uinpla.npl.uiuc.edu From: tayloe@uinpla.npl.uiuc.edu (Rex Tayloe) Newsgroups: sci.math.num-analysis,sci.math.stat,sci.physics Subject: Re: HELP: A least-squares problem with nonlinear constraints Message-ID: <00960616.3FDD18E0@uinpla.npl.uiuc.edu> Date: 10 Sep 92 02:18:33 GMT References: <0096060C.3C725B20@uinpla.npl.uiuc.edu> Sender: usenet@news.cso.uiuc.edu (Net Noise owner) Reply-To: tayloe@uinpla.npl.uiuc.edu (Rex Tayloe) Organization: Nuclear Physics Laboratory, University of Illinois, Urbana-Champaign Lines: 28