Singular value decomposition of complex matrix

摘要

Computerized singular value decomposition of an input complex matrix. A real-value matrix representation of the input complex matrix is provided to a singular value decomposition module, which correctly obtains a singular value representation of the real-value matrix representation. However, the result is not provided in a form for convenient conversion back into a valid singular value decomposition solution for the original input complex matrix, as the upper left half and lower right half of the diagonal of the diagonal matrix are not identical. A correction module corrects by formulating a corrected diagonal matrix that represents the value of the diagonal of the first diagonal matrix, but shuffled so that the upper left half of the diagonal of the second diagonal matrix is the same as the lower right half of the diagonal of the second diagonal matrix. Corrected unitary matrices may also be formed.