A Recursive Complex Householder Transformation Algorithm and its Applications

The paper put forwards a recursive complex matrix Householder transformation for transforming the complex matrix into upper triangle matrix. The fundamental complex matrix transformation is given firstly, then the recursive complex Householder transformation is provided, lastly, the complex-value matrix with new row added in the upper triangular matrix is transformed by column recursively, and all the proof of these transformation algorithm are given. An application for estimating complex parameters is used, the simulation results shows that the complex Householder transformation is effective.