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Topic review - vector spaces and relations
Author Message
malex
  Post subject:  Re: vector spaces and relations  Reply with quote
Dear nieto,

please take a look at "central.lib":
http://www.singular.uni-kl.de/Manual/la ... htm#SEC499.
1. use PBW_eqDeg( 10 ); in order to get your enveloping vector space (may require a lot of memory).
2. use diff() instead of applyAdF in order to get your system of equations.
3. use linearMapKernel/linearCombinations to solve the sysystem.
Iterate steps 2/3 as in centerVS...

hope that helps,
Oleksandr

ps: Singular libraries (*.lib) are just plane text files so
that one could read the code with any text viewer.
(please try another editor and provide more details if that will not help)
Post Posted: Fri Oct 02, 2009 12:37 am
nieto
  Post subject:  vector spaces and relations  Reply with quote
Perhaps it is well known for you but I do not seem to find a useful command
that allows me to define a finite dimensional vector space with a polinomial constraint to be able to compute its dimension ( the first try would be to define it as a kernel). My problem is to define a
subvector space of the vector space of polynomials of degree 10 with a condition of multiplicty on these polinomials, namely that the up to the third order partial derivatives of each of these polynomials vanishes. I want to compute the dimension of this subvector space.
I have been browsing the libraries and have not found it directly but seem to find
some libraries useful but when I want to look at them closely; it seems they contain the authors´name but not the specific singular algorithm I need. How do I have direct access to these libraries, to look at specific singular commands?
Post Posted: Thu Oct 01, 2009 7:47 pm


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