Remembering an earlier discussion of symmetric arrays (not just 
matrices), we could ask for efficient ways of dealing with 
them/representing them.  What can be done with existing facilities?

About matrices, Gilbert Strang comments in Linear Algebra and Its 
Applications:

"Symmetric matrices appear in every subject whose laws are fair.  'Each 
action has an equal and opposite reaction.'  The entry a_ij that gives 
the action of i onto j is matched by a_ji."


On Thu, 31 Aug 2006, Fraser Jackson wrote:

| There are many problems where for a matrix a  either the following
| 
| a fn"1 1 / a
| 
| or
| 
| 
| a  f . g  |: a
| 
| generate a symmetric matrix.
| 
| 
| I could well do with the saving of half the time on a computation.
| 
| 1.    Has anyone good suggestions for handling this?
| 2.    Isn't this such a common problem that some way of telling the
| interpreter to only do one triangle should be constructed?
| 
| Fraser


Kip Murray
Math, UofHouston

[EMAIL PROTECTED]
http://www.math.uh.edu/~km
----------------------------------------------------------------------
For information about J forums see http://www.jsoftware.com/forums.htm

Reply via email to