TransposeConjugate
TransposeConjugate
Transposing a complex matrix with conjugation. Reverse or permute the axes of a matrix by changing a sign of an imaginary part of a complex number, return the modified matrix.
matrix matrix::TransposeConjugate()Return Value
Transposed complex conjugate matrix.
Simple algorithm of transposing a complex matrix with conjugation - method explanation
//--- Complex matrix transpose function with conjugation
matrix MatrixTranspose(const matrix& matrix_a) {
//--- create a new matrix_c with dimensions inverse to matrix_a
matrix matrix_c(matrix_a.Cols(), matrix_a.Rows());
//--- go through all the rows of the new matrix
for (ulong i = 0; i < matrix_c.Rows(); i++) {
//--- go through all the columns of the new matrix
for (ulong j = 0; j < matrix_c.Cols(); j++) {
//--- transfer the real part of the element by transposing the index
matrix_c[i][j].real = matrix_a[j][i].real;
//--- transfer the imaginary part of the element by changing the sign (conjugation)
matrix_c[i][j].imag = -matrix_a[j][i].imag;
}
}
//--- return the transposed matrix with conjugation
return (matrix_c);
}