[gmx-users] what do negative eigenvalues imply?

2007-10-29 Thread Chris Neale



/> Hello,
/>>/ 
/>>/ I was wondering if anybody can explain why eigenvalues can be negative? 
/>>/ I have found a suggestion on the internet that this is because the 
/>>/ positive eigenvalues have accounted for more than 100% of the motion. 
/>>/ Does this sound accurate?

/>

No

You normally have six negative eigevalues due to the fact that overall 
translation and rotation are removed. You have in addition 4 that are 
very small, maybe you can investigate how many degrees of freedom you 
have (it says in the md.log file). This should be equal to the umber of 
non-negative ev.


Thanks for the explanation David.

I have selected only the heavy atoms in the alanine dipeptide for the previously posted analysis. 
Therefore I made a new temperature coupling group composed only of these atoms and ran grompp

in order to get the desired value output:

"Number of degrees of freedom in T-Coupling group Protein_NoH is 23.98"

So 24-6 is 18 and I am positive up to 20. I suppose it is ok that there are 
more (small) positive values
than 18.

If I re-do the analysis instead using all 22 atoms (include the H's) then 
grompp indicates:

"Number of degrees of freedom in T-Coupling group Protein is 53.96"

And I am positive up to ev #41 (g_covar eigenval.xvg follows) so 54-6 is 48, 
but I only have 41 positive.
Nevertheless, the ev 42-48 are very small positive.


# This file was created Mon Oct 29 18:45:06 2007
# by the following command:
# /hpf/data/pomes/cneale/exe/gromacs-3.3.1/exec/fftw-3.1.2/bin/g_covar -s ../adp.tpr -n ../adp.ndx -f ../adp_0-1.56us.xtc -ascii covar.dat -mwa 
#

# /hpf/data/pomes/cneale/exe/gromacs-3.3.1/exec/fftw-3.1.2/bin/g_covar is part 
of G R O M A C S:
#
# Gnomes, ROck Monsters And Chili Sauce
#
@title "Eigenvalues of the covariance matrix"
@xaxis  label "Eigenvector index"
@yaxis  label "(u nm\S2\N)"
@TYPE xy
1 0.23291
2 0.0810199
3 0.0579589
4 0.0430226
5 0.0156911
6 0.015543
7 0.0154095
8 0.0153563
9 0.0153322
   10 0.0151271
   11 0.0122578
   12 0.00725067
   13 0.00261468
   14 0.00179256
   15 0.00165951
   16 0.00103279
   17 0.000815341
   18 0.000572039
   19 0.000508098
   20 0.000365606
   21 0.000359221
   22 0.000352105
   23 0.00035001
   24 0.000344526
   25 0.000259272
   26 0.000258307
   27 0.000251824
   28 0.000201794
   29 0.000134211
   30 0.0001308
   31 0.00010905
   32 0.000107029
   33 8.21594e-05
   34 7.64162e-05
   35 6.1539e-05
   36 4.31456e-05
   37 3.68485e-05
   38 2.35955e-05
   39 2.11371e-05
   40 1.34103e-05
   41 6.81332e-06
   42 -1.17905e-06
   43 -4.04147e-06
   44 -9.72161e-06
   45 -1.3889e-05
   46 -3.51393e-05
   47 -4.49705e-05
   48 -6.51993e-05
   49 -6.75307e-05
   50 -7.47012e-05
   51 -8.77501e-05
   52 -0.00010138
   53 -0.000103669
   54 -0.000105253
   55 -0.000106886
   56 -0.000110613
   57 -0.000111074
   58 -0.000134431
   59 -0.000166161
   60 -0.000180943
   61 -0.000204832
   62 -0.000298183
   63 -0.000444828
   64 -0.00052514
   65 -0.000592853
   66 -0.00213633


Thanks,
Chris.


/ 
/>>/ This system is the alanine dipeptide. I do not find such negative values 
/>>/ when running g_covar on full proteins.
/>>/ 
/>>/ The contents of eigenval.xvg are listed below.
/>>/ 
/>>/ # This file was created Mon Oct 29 16:31:46 2007

/>>/ # by the following command:
/>>/ # /hpf/data/pomes/cneale/exe/gromacs-3.3.1/exec/fftw-3.1.2/bin/g_covar 
/>>/ -s ../adp.tpr -n ../adp.ndx -f ../adp_0-1.56us.xtc -ascii covar.dat -mwa

/>>/ #
/>>/ is part of G R O M A C S:
/>>/ #
/>>/ # Great Red Owns Many ACres of Sand
/>>/ #
/>>/ @title "Eigenvalues of the covariance matrix"
/>>/ @xaxis  label "Eigenvector index"
/>>/ @yaxis  label "(u nm\S2\N)"
/>>/ @TYPE xy
/>>/ 1 0.211327
/>>/ 2 0.0736961
/>>/ 3 0.0522046
/>>/ 4 0.04409
/>>/ 5 0.0104057
/>>/ 6 0.00577603
/>>/ 7 0.00198832
/>>/ 8 0.00163465
/>>/ 9 0.00128302
/>>/10 0.000735383
/>>/11 0.000649576
/>>/12 0.000434795
/>>/13 0.000376401
/>>/14 0.000337852
/>>/15 0.000191994
/>>/17 8.87514e-05
/>>/18 7.31975e-05
/>>/19 5.31939e-05
/>>/20 4.45637e-05
/>>/21 -5.03112e-06
/>>/22 -1.26812e-05
/>>/23 -2.48763e-05
/>/>24 -5.90268e-05
/>>/25 -0.000114215
/>>/26 -0.000227912
/>>/27 -0.000355243
/>>/28 -0.000513052
/>>/29 -0.000631471
/>>/30 -0.00178302/


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Re: [gmx-users] what do negative eigenvalues imply?

2007-10-29 Thread David van der Spoel

Chris Neale wrote:

Hello,

I was wondering if anybody can explain why eigenvalues can be negative? 
I have found a suggestion on the internet that this is because the 
positive eigenvalues have accounted for more than 100% of the motion. 
Does this sound accurate?

No

You normally have six negative eigevalues due to the fact that overall 
translation and rotation are removed. You have in addition 4 that are 
very small, maybe you can investigate how many degrees of freedom you 
have (it says in the md.log file). This should be equal to the umber of 
non-negative ev.


This system is the alanine dipeptide. I do not find such negative values 
when running g_covar on full proteins.


The contents of eigenval.xvg are listed below.

# This file was created Mon Oct 29 16:31:46 2007
# by the following command:
# /hpf/data/pomes/cneale/exe/gromacs-3.3.1/exec/fftw-3.1.2/bin/g_covar 
-s ../adp.tpr -n ../adp.ndx -f ../adp_0-1.56us.xtc -ascii covar.dat -mwa

#
# /hpf/data/pomes/cneale/exe/gromacs-3.3.1/exec/fftw-3.1.2/bin/g_covar 
is part of G R O M A C S:

#
# Great Red Owns Many ACres of Sand
#
@title "Eigenvalues of the covariance matrix"
@xaxis  label "Eigenvector index"
@yaxis  label "(u nm\S2\N)"
@TYPE xy
1 0.211327
2 0.0736961
3 0.0522046
4 0.04409
5 0.0104057
6 0.00577603
7 0.00198832
8 0.00163465
9 0.00128302
   10 0.000735383
   11 0.000649576
   12 0.000434795
   13 0.000376401
   14 0.000337852
   15 0.000191994
   16 0.000131498
   17 8.87514e-05
   18 7.31975e-05
   19 5.31939e-05
   20 4.45637e-05
   21 -5.03112e-06
   22 -1.26812e-05
   23 -2.48763e-05
   24 -5.90268e-05
   25 -0.000114215
   26 -0.000227912
   27 -0.000355243
   28 -0.000513052
   29 -0.000631471
   30 -0.00178302

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--
David van der Spoel, Ph.D.
Molec. Biophys. group, Dept. of Cell & Molec. Biol., Uppsala University.
Box 596, 75124 Uppsala, Sweden. Phone:  +46184714205. Fax: +4618511755.
[EMAIL PROTECTED]   [EMAIL PROTECTED]   http://folding.bmc.uu.se
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[gmx-users] what do negative eigenvalues imply?

2007-10-29 Thread Chris Neale

Hello,

I was wondering if anybody can explain why eigenvalues can be negative? 
I have found a suggestion on the internet that this is because the 
positive eigenvalues have accounted for more than 100% of the motion. 
Does this sound accurate?


This system is the alanine dipeptide. I do not find such negative values 
when running g_covar on full proteins.


The contents of eigenval.xvg are listed below.

# This file was created Mon Oct 29 16:31:46 2007
# by the following command:
# /hpf/data/pomes/cneale/exe/gromacs-3.3.1/exec/fftw-3.1.2/bin/g_covar 
-s ../adp.tpr -n ../adp.ndx -f ../adp_0-1.56us.xtc -ascii covar.dat -mwa

#
# /hpf/data/pomes/cneale/exe/gromacs-3.3.1/exec/fftw-3.1.2/bin/g_covar 
is part of G R O M A C S:

#
# Great Red Owns Many ACres of Sand
#
@title "Eigenvalues of the covariance matrix"
@xaxis  label "Eigenvector index"
@yaxis  label "(u nm\S2\N)"
@TYPE xy
1 0.211327
2 0.0736961
3 0.0522046
4 0.04409
5 0.0104057
6 0.00577603
7 0.00198832
8 0.00163465
9 0.00128302
   10 0.000735383
   11 0.000649576
   12 0.000434795
   13 0.000376401
   14 0.000337852
   15 0.000191994
   16 0.000131498
   17 8.87514e-05
   18 7.31975e-05
   19 5.31939e-05
   20 4.45637e-05
   21 -5.03112e-06
   22 -1.26812e-05
   23 -2.48763e-05
   24 -5.90268e-05
   25 -0.000114215
   26 -0.000227912
   27 -0.000355243
   28 -0.000513052
   29 -0.000631471
   30 -0.00178302

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