domain SciMax Toolbox domxmxops

SciMax Toolbox >> domxexpt

domxexpt

Option variable

domxexpt

Description

Default value: true

When domxexpt is true, a matrix exponential, exp (M) where M is a matrix, is interpreted as a matrix with element [i,j equal to exp (m[i,j]). Otherwise exp (M) evaluates to exp (ev(M).

domxexpt affects all expressions of the form base^power where base is an expression assumed scalar or constant, and power is a list or matrix.

Example:

(%i1) m: matrix ([1, %i], [a+b, %pi]);
                         [   1    %i  ]
(%o1)                    [            ]
                         [ b + a  %pi ]
(%i2) domxexpt: false$
(%i3) (1 - c)^m;
                             [   1    %i  ]
                             [            ]
                             [ b + a  %pi ]
(%o3)                 (1 - c)
(%i4) domxexpt: true$
(%i5) (1 - c)^m;
                  [                      %i  ]
                  [    1 - c      (1 - c)    ]
(%o5)             [                          ]
                  [        b + a         %pi ]
                  [ (1 - c)       (1 - c)    ]
domain SciMax Toolbox domxmxops