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MathGroup Archive 1992

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Re: Determinant function in Mathematica

  • To: mathgroup at yoda.physics.unc.edu
  • Subject: Re: Determinant function in Mathematica
  • From: jpw at vax135.att.com
  • Date: Fri, 10 Apr 92 10:59:30 edt

i repeated the exact code from Oliver Gloor (gloor at inf.ethz.ch) on
Mathematica 1.2 under ULTRIX (3.x) running on a microVAX III (~3-4 MVUPs)
and got the following timings (16 MB of real memory, 64 MB of swap)
the timing difference are better than an order of magnitude faster on
the microVAX versus the SPARC (which i find somewhat puzzling ...)

Mathematica (ULTRIX) 1.2 (November 15, 1989) [With pre-loaded data]
by S. Wolfram, D. Grayson, R. Maeder, H. Cejtin,
   S. Omohundro, D. Ballman and J. Keiper
with I. Rivin and D. Withoff
Copyright 1988,1989 Wolfram Research Inc.
 -- X11 windows graphics initialized -- 

In[1]:= a[n_] := Table[ StringJoin["a",ToString[i],ToString[j]], {i,1,n},{j,1,n}
]

In[2]:= Do[ Print[ First[ Timing[ Det[ a[t]]]]], {t,1,7}]
0.
0.05 Second
0.133333 Second
0.383333 Second
1.46667 Second
8.58333 Second
65.5833 Second


the original mail of Oliver Gloor follows ...

	From att!yoda.physics.unc.edu!mathgroup-adm Fri Apr 10 02:58:24 1992
	Received: from vax135.UUCP (vax135.ARPA) by cdrom.UUCP (1.2/4.7)
		id AA00803; Fri, 10 Apr 92 02:58:21 edt
	Received: by att.att.com; Fri Apr 10 02:57:42 EDT 1992
	Received: by yoda.physics.unc.edu (4.1/TAS/11-16-88)
		id AA09853; Thu, 9 Apr 92 22:04:29 EDT
	Received: by yoda.physics.unc.edu (4.1/TAS/11-16-88)
		id AA09849; Thu, 9 Apr 92 22:04:25 EDT
	Message-Id: <9204100204.AA09849 at yoda.physics.unc.edu>
	Date: Thu, 9 Apr 92 13:53:34 +0200
	To: mathgroup at yoda.physics.unc.edu
	Subject: Re:  Determinant function in Mathematica
	From: gloor at inf.ethz.ch
	
	Maybe you have to less memory, for me it works pretty well up to 7x7 - determinants:
	
	------------------------------
	
	Mathematica 2.0 for SPARC
	Copyright 1988-91 Wolfram Research, Inc.
	Temporary license: expiration date is 30 Jun 1992.
	 -- X11 windows graphics initialized -- 
	
	In[1]:= a[n_] := Table[ StringJoin["a",ToString[i],ToString[j]], {i,1,n},{j,1,n}];
	
	In[2]:= Do[ Print[ First[ Timing[ Det[ a[t]]]]], {t,1,7}]
	0.0166667 Second
	0.05 Second
	0.233333 Second
	0.9 Second
	5.95 Second
	74.1 Second
	2585.98 Second
	
	-----------------------------
	
	Oliver Gloor,
	
	gloor at inf.ethz.ch
	
	





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