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Mon, 10 Dec 2012 16:49:39 +0000
Re: How to find min distance between two matrix in matlab
http://www.mathworks.com/matlabcentral/newsreader/view_thread/325103#893454
Nasser M. Abbasi
On 12/10/2012 9:44 AM, simran wrote:<br>
> How to find minimum distance between two matrices in matlab??<br>
><br>
<br>
How do you measure a distance between 2 matrices?<br>
<br>
A matrix has a norm. But I do not think I heared of a<br>
"distance" between matrices.<br>
<br>
Nasser

Mon, 10 Dec 2012 22:56:14 +0000
Re: How to find min distance between two matrix in matlab
http://www.mathworks.com/matlabcentral/newsreader/view_thread/325103#893488
Bruno Luong
"Nasser M. Abbasi" wrote in message <ka53r0$d38$2@speranza.aioe.org>...<br>
> On 12/10/2012 9:44 AM, simran wrote:<br>
> > How to find minimum distance between two matrices in matlab??<br>
> ><br>
> <br>
> How do you measure a distance between 2 matrices?<br>
> <br>
> A matrix has a norm. But I do not think I heared of a<br>
> "distance" between matrices.<br>
<br>
A distance is simply the norm of the difference. This is standard definition of Banach's space (matrices is a banach's space), something that is very familiar to mathematicians .

Tue, 11 Dec 2012 02:56:10 +0000
Re: How to find min distance between two matrix in matlab
http://www.mathworks.com/matlabcentral/newsreader/view_thread/325103#893492
Roger Stafford
"Bruno Luong" <b.luong@fogale.findmycountry> wrote in message <ka5pae$da9$1@newscl01ah.mathworks.com>...<br>
> A distance is simply the norm of the difference. This is standard definition of Banach's space (matrices is a banach's space), something that is very familiar to mathematicians .<br>
         <br>
To be a valid "distance" it is only necessary to demonstrate that the norms of matrix differences satisfy the simple axioms for a metric space. The facts that this particular metric is complete and that we have a vector space is unneeded.<br>
<br>
However, Simran's use of the adjective "minimum" suggests that perhaps a somewhat different meaning was intended.<br>
<br>
Roger Stafford