Abstract
The nonnegative inverse eigenvalue problem (NIEP) is the problem of finding conditions for the existence of an n×n entrywise nonnegative matrix A with prescribed spectrum. This problem remains open for n≥5. If the matrix A is required to be persymmetric (bisymmetric), the problem will be called persymmetric (bisymmetric) nonnegative inverse eigenvalue problem (PNIEP) (BNIEP). Persymmetric and bisymmetric matrices are common in physical sciences and engineering. They arise, for instance, in the control of mechanical and electric vibrations. A persymmetric version of a perturbation result, due to Rado and presented by H. Perfect in [5], is developed and used to give sufficient conditions for the PNIEP to have a solution. Our results generate an algorithmic procedure to compute the solution matrix.
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.
