#18381: Cholesky decomposition should be real
-------------------------------------+-------------------------------------
       Reporter:  vdelecroix         |        Owner:
           Type:  defect             |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.2
      Component:  linear algebra     |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Vincent Delecroix  |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/vdelecroix/18381                 |  c357c20417cdc41bf103f556c025e114ed8f1fc3
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by dimpase):

 by the way, do you know how to fix the following wrong error message:
 {{{
 sage: m=matrix(RDF,[[2,1],[1,2]],sparse=True)
 sage: m.cholesky()
 ---------------------------------------------------------------------------
 TypeError                                 Traceback (most recent call
 last)
 <ipython-input-4-18ff9bf78b55> in <module>()
 ----> 1 m.cholesky()

 /home/dima/software/sage/src/sage/matrix/matrix2.pyx in
 sage.matrix.matrix2.Matrix.cholesky
 (/home/dima/software/sage/src/build/cythonized/sage/matrix/matrix2.c:80453)()
   11429             if not self.base_ring().is_exact():
   11430                 msg = 'base ring of the matrix must be exact, not
 {0}'
 > 11431                 raise TypeError(msg.format(self.base_ring()))
   11432             if not self.is_positive_definite():
   11433                 msg = 'matrix is not positive definite, so cannot
 compute Cholesky decomposition'

 TypeError: base ring of the matrix must be exact, not Real Double Field
 }}}
 (it should say that the matrix must be dense...)

--
Ticket URL: <http://trac.sagemath.org/ticket/18381#comment:9>
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