The hermitian Indexing Function - Maple Programming Help

Home : Support : Online Help : Programming : Data Types : Rtables, Arrays, Matrices, and Vectors : Indexing Functions : indexfcn/hermitian

The hermitian Indexing Function

Description

 • The hermitian indexing function can be used to construct rtable objects of type Array or Matrix.
 • In the construction of 2-dimensional objects, the hermitian indexing function specifies that the (i, j)th element is equal to the complex conjugate of the (j, i)th element.

Examples

 > $M≔\mathrm{Matrix}\left(1..3,1..3,\mathrm{shape}=\mathrm{hermitian}\right)$
 ${M}{≔}\left[\begin{array}{ccc}{0}& {0}& {0}\\ {0}& {0}& {0}\\ {0}& {0}& {0}\end{array}\right]$ (1)
 > ${M}_{1,2}≔1+2I$
 ${{M}}_{{1}{,}{2}}{≔}{1}{+}{2}{}{I}$ (2)
 > $M$
 $\left[\begin{array}{ccc}{0}& {1}{+}{2}{}{I}& {0}\\ {1}{-}{2}{}{I}& {0}& {0}\\ {0}& {0}& {0}\end{array}\right]$ (3)