Abstract
A number of necessary and sufficient conditions are given for the existence of unitary matrices U and V, such that UAV is a diagonal matrix for every matrix A in some set Γ of rectangular complex matrices. Two related questions are then considered. A necessary and sufficient condition for the existence of unitary matrices U and V such that UAV is a real diagonal matrix for every A in Γ is obtained, and an improvement on a necessary and sufficient condition discovered by R.C. Thompson for the existence of real orthogonal matrices P and Q such that PAQ is a diagonal matrix for every A in Γ is given.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
