#16714: Add a matrix of constraints in a LP
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       Reporter:  ncohen             |        Owner:
           Type:  enhancement        |       Status:  new
       Priority:  major              |    Milestone:  sage-6.4
      Component:  linear             |   Resolution:
  programming                        |    Merged in:
       Keywords:                     |    Reviewers:
        Authors:                     |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  fd10630a8e4884d3a44f55cc6e1d4c83ea7ee154
  u/vbraun/add_a_matrix_of_constraints_in_a_lp|     Stopgaps:
   Dependencies:                     |
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Comment (by ncohen):

 > Obviously it is very fast to solve trivial constraints. Read my question
 again.

 Volker you make mistakes too, and if there is something I don't stand for
 long it is people giving me orders. If there is a misunderstanding, we
 will clear it.

 What I said is that people (some I met, or myself in the past) noticed
 that it took time to add constraints to a LP. I am not talking of solving
 the LP itself. Just imagine that the matrix is stored as a dense
 contiguous matrix, and that adding a row means having to copy everything.

 I don't know if this is how it is implemented, but on some occasions
 adding constraints one by one (each with the same number of nonzero
 coefficients and looking the same) takes a time which is not constant per
 call, i.e. calling {{{add_constraint}}} on a matrix that is already big is
 longer than on an empty matrix.

 Which means that calling add_linear_constraints may make a difference.
 Which would also explain why the solvers contain this in their API, even
 though it seems useless at first.

 I just tried it again by adding the same constraint "b[3]<=8" many many
 times but in this case the time seems to be constant. Perhaps there is
 something else missing.

 Nathann

--
Ticket URL: <http://trac.sagemath.org/ticket/16714#comment:30>
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