A unitary transform can convert the complex matrix to a real matrix along with their eigenvectors and thereby reducing the computational cost at least by a factor of four without sacrificing accuracy.

We give equivalent characterizations for those n × n complex matrices A whose unitary orbits U (A) and C-numerical ranges WC (A) satisfy eiθU (A) = U (A) or eiθWC (A) = WC (A) for some real θ (or for ...

In this study, we extended the 1-dimensional (1-D) unitary matrix pencil method to 2-dimensional case, where 2-D matrix pencil method are used to find the 2-D poles corresponding to the direction of ...