No abstract

No abstract

A new version is proposed for the Gram-Schmidt algorithm, the orthogonal procrustes algorithm and the sequential orthogonal procrustes algorithm for generating Hermite-Gaussian-like orthonormal eigenvectors for the discrete Fourier transform matrix F. This version is based on the direct utilization of the orthogonal projection matrices on the eigenspaces of matrix F rather than the singular value decomposition of those matrices for the purpose of generating initial orthonormal eigenvectors. The proposed version of the algorithms has the merit of achieving a significant reduction in the computation time.

No abstract

No abstract