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MathGroup Archive 1992

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Re: CPU time for Solve under v.2.0 and 2.1

  • To: mathgroup at yoda.physics.unc.edu
  • Subject: Re: CPU time for Solve under v.2.0 and 2.1
  • From: yoda at ele.crl.melco.co.jp
  • Date: Tue, 17 Nov 92 15:18:09 JST

Dear Dave,
thanks for your prompt reply. Today I did further investigation about
LinearSole and Solve
for a linear matrix equation solving. A new test matrix is a 8 x 8 sparse
symmetric one.
Here's my conclusion:

(1) v.2.1 always gives much longer expressions than v.2.0 does. In my 8 x 8
matrix case,
the length ratio is over 10 fold!!!

(2) So even though the CPU time only for Solve and LinearSolve may be a bit
faster under v.2.1,
    the total time including the following Cancel or Simplify operation is
much longer
    under v.2.1.

Test results summary

v.2.0    
--------------------------------
Solve         Cancel     Total             
5 sec         7 sec     12 sec
--------------------------------
LinearSolve   Cancel     Total
6 sec          4 sec     10 sec
--------------------------------

v.2.1   
--------------------------------
Solve         Cancel     Total             
7 sec         too long to wait !!          
--------------------------------
LinearSolve   Cancel     Total
3 sec          62 sec     65 sec
--------------------------------


Is it possible to use v.2.0's Solve and LinearSolve under v.2.1
Mathematica?
The reason is the overall speed of v.2.1 except the Solve or LinearSolve
looks much faster!

Regards,

Kiyoshi


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*   Kiyoshi Yoda, Ph.D                *
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