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GraphicalModels :: gaussianMatrices

gaussianMatrices -- matrices whose minors generate the Gaussian conditional independence ideal

Synopsis

Description

This method displays a list of matrices whose minors generate the Gaussian conditional independence ideal. It is called as a subroutine in conditionalIndependenceIdeal but it is useful to list these matrices explicitly.

i1 : R = gaussianRing 4;
i2 : Stmts = {{{1,2},{3},{4}}, {{1},{3},{}}}

o2 = {{{1, 2}, {3}, {4}}, {{1}, {3}, {}}}

o2 : List
i3 : compactMatrixForm =false;
i4 : gaussianMatrices(R,Stmts)

o4 = {| s     s    |, | s    |}
      |  1,3   1,4 |  |  1,3 |
      |            |
      | s     s    |
      |  2,3   2,4 |
      |            |
      | s     s    |
      |  3,4   4,4 |

o4 : List

See also

Ways to use gaussianMatrices :

  • gaussianMatrices(Ring,List)