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Thread Subject:
How to find min distance between two matrix in matlab

Subject: How to find min distance between two matrix in matlab

From: Nasser M. Abbasi

Date: 10 Dec, 2012 16:49:39

Message: 1 of 3

On 12/10/2012 9:44 AM, simran wrote:
> How to find minimum distance between two matrices in matlab??
>

How do you measure a distance between 2 matrices?

A matrix has a norm. But I do not think I heared of a
"distance" between matrices.

--Nasser

Subject: How to find min distance between two matrix in matlab

From: Bruno Luong

Date: 10 Dec, 2012 22:56:14

Message: 2 of 3

"Nasser M. Abbasi" wrote in message <ka53r0$d38$2@speranza.aioe.org>...
> On 12/10/2012 9:44 AM, simran wrote:
> > How to find minimum distance between two matrices in matlab??
> >
>
> How do you measure a distance between 2 matrices?
>
> A matrix has a norm. But I do not think I heared of a
> "distance" between matrices.

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 .

Subject: How to find min distance between two matrix in matlab

From: Roger Stafford

Date: 11 Dec, 2012 02:56:10

Message: 3 of 3

"Bruno Luong" <b.luong@fogale.findmycountry> wrote in message <ka5pae$da9$1@newscl01ah.mathworks.com>...
> 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 .
- - - - - - - - - -
  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.

  However, Simran's use of the adjective "minimum" suggests that perhaps a somewhat different meaning was intended.

Roger Stafford

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