DADiSP Worksheet Functions > Function Categories > Matrix Math and Special Matrices > ~^ (Matrix Conjugate Transpose)
Complex conjugate transpose of a matrix.
A~^
A |
- |
An array or series. |
An NxM array where the input is an MxN array.
W1: {{i, 2, 3},
{1, 2i, 3},
{1, 2, 3i}}
W2: W1~^
W2 == {{0 – 1i, 1 + 0i, 1 + 0i},
{2 + 0i, 0 – 2i, 2 + 0i},
{3 + 0i, 3 + 0i, 0 – 3i}}
W3 : W1’
W3 == {{0 + 1i, 1 + 0i, 1 + 0i},
{2 + 0i, 0 + 2i, 2 + 0i},
{3 + 0i, 3 + 0i, 0 + 3i}}
The postfix A~^ operator is equivalent to transposeconj(A) and is equivalent to
b = conj(transpose(A))
b = transposeconj(A)
b = A~^
are equivalent.
For a real array, ~^ and ‘ are equivalent.