#18310: Finite dimensional modules with basis: improved conversions to vectors 
and
matrices
-------------------------------------+-------------------------------------
       Reporter:  nthiery            |        Owner:
           Type:  enhancement        |       Status:  new
       Priority:  major              |    Milestone:  sage-6.7
      Component:  linear algebra     |   Resolution:
       Keywords:                     |    Merged in:
        Authors:                     |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  
u/nthiery/categories/finite_dimensinonal_modules_with_basis_vector_matrix-18310|
  223e55834daf91167b517b7c80f0af92ef627fba
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------
Changes (by nthiery):

 * commit:   => 223e55834daf91167b517b7c80f0af92ef627fba


Old description:

> This ticket:
>
> - Implements the option `sparse` for
> `CombinatorialFreeModule.Element._vector_`
> - Implements `Modules.WithBasis.FiniteDimensional.ParentMethods.matrix`
> for building a matrix from a list of elements
> - Refactors `Modules.WithBasis.FiniteDimensional.MorphismMethods.matrix`
> to use the latter and accept the option `sparse`
>
> This is a follow up to #11111

New description:

 This ticket:

 - Implements the option `sparse` for
 `CombinatorialFreeModule.Element._vector_`
 - Implements `Modules.WithBasis.FiniteDimensional.ParentMethods.matrix`
 for building a matrix from a list of elements
 - Refactors `Modules.WithBasis.FiniteDimensional.MorphismMethods.matrix`
 to use the latter and accept the option `sparse`

 This is a follow up to #11111.

 It's based on #16659 due to a trivial syntactic conflict. Since #16659
 is likely to be positive reviewed very soon, it's probably not worth
 it making it independent.

--

Comment:

 Last 10 new commits:
 
||[http://git.sagemath.org/sage.git/commit/?id=0c44982418b96b37731814a0e949471b61270084
 0c44982]||{{{17696: use
 is_identity_decomposition_into_orthogonal_idempotents in the examples}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=cba7c8d1adcad21ace893b5827777348c2e486ef
 cba7c8d]||{{{17696: factored out of the examples a basic implementation of
 the 0-Hecke monoid}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=6e81e4b500f7698446fd19de792744a33667eafa
 6e81e4b]||{{{16659: proofreading and little additions to the doc; small
 refactoring of the code}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=19756de9e9367efc85add11872bbf03d873b948f
 19756de]||{{{16659: minor line-split in the doc}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=fd8e1ad375037e078905ae220bc9e543d65a67be
 fd8e1ad]||{{{16659: refactored _orthogonal_decomposition and updated
 doctests accordingly}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=cc327efe6f3a221ae089d68558e5296cc9fc295c
 cc327ef]||{{{16659: improved documentation for
 _orthogonal_decomposition}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=e00dfdb8c49ba0105922aeeabab5bcb234bceaf0
 e00dfdb]||{{{16659: improved documentation for
 _orthogonal_decomposition}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=cce7d3db05f6f10fec8c19a055987c61eee4b771
 cce7d3d]||{{{17696: added crosslinks}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=faf83a1380dde69c2dfd7849c1b8b8d24dcbecd6
 faf83a1]||{{{16659: added missing hecke_monoid.py file}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=223e55834daf91167b517b7c80f0af92ef627fba
 223e558]||{{{18310: Finite dimensional modules with basis: improved
 conversions to vectors and matrices}}}||

--
Ticket URL: <http://trac.sagemath.org/ticket/18310#comment:4>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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