Abstract
The {R,s+1,k}- and {R,s+1,k,∗}-potent matrices have been studied in several recent papers. We continue these investigations from a spectral point of view. Specifically, a spectral study of {R,s+1,k}-potent matrices is developed using characterizations involving an associated matrix pencil (A,R). The corresponding spectral study for {R,s+1,k,∗}-potent matrices involves the pencil (A∗,R). In order to present some properties, the relevance of the projector I−AA# where A# is the group inverse of A is highlighted. In addition, some applications and numerical examples are given, particularly involving Pauli matrices and the quaternions.
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.
