Abstract
This paper deals with the following inverse eigenvalue problem: Given an n by n real symmetric matrix A and a set of real numbers { λ i } 1 n , find a diagonal matrix D such that A + D has eigenvalues λ i . For the solvability of this problem a number of necessary conditions and sufficient conditions are known. In this work, new necessary conditions are derived, while some sufficient conditions are optimized. In particular, one sufficient condition due to Morel is obtained by optimizing a sufficient condition discovered by Laborde.
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.
