#18447: Implement dual-quasi-Schur basis in NCSF
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       Reporter:  zabrocki           |        Owner:
           Type:  enhancement        |       Status:  new
       Priority:  minor              |    Milestone:  sage-6.7
      Component:  combinatorics      |   Resolution:
       Keywords:  ncsf, qsym,        |    Merged in:
  quasiSchur                         |    Reviewers:
        Authors:                     |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  b987e7ec4a6b0f546481673d193a84d5e42bcab1
  public/combinat/zabrocki/ncsf_quasi_schur_basis/18447|     Stopgaps:
   Dependencies:  #18415             |
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Comment (by zabrocki):

 It occurs to me that in a typical session that one is likely to be doing
 many calculations with a basis at a given degree.  For this reason branch
 b8cefb8 works better with these tests doing many loops (NB: with a
 @cached_method before the _to_monomial_on_basis) .  The change in branch
 1091d7a is faster for a single change of basis calculation from monomial
 to QS but normally we do many in one session.

 It is possible that I want to undo the edits in commit 0ba7a67 for the
 same reason.  That will make a single change of basis calculation from the
 dQS to the complete basis run faster (as my timing tests indicated in
 comment 11), but many calculations from dQS to complete/ribbon might run
 faster with the previous code because the change of basis matrix is
 calculated once for a given degree.

--
Ticket URL: <http://trac.sagemath.org/ticket/18447#comment:15>
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