Accession Number : ADA256570


Title :   Minimum Eigenvalue Separation


Corporate Author : CALIFORNIA UNIV BERKELEY DEPT OF MATHEMATICS


Personal Author(s) : Parlett, Beresford ; Lu, Tzon-Tzer


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a256570.pdf


Report Date : Jul 1992


Pagination or Media Count : 74


Abstract : For over one hundred years, the eigenvalue problem has been investigated by mathematicians, physicists, and engineers. Scientists explored the characterization, location, perturbation and computation of eigenvalues, to name a few topics. This thesis is devoted to the separation of eigenvalues. We will find the minimum gap between eigenvalues over an interesting class of tridiagonal matrices. We consider unreduced n x n symmetric tridiagonal matrices with all subdiagonal entries.


Descriptors :   *EIGENVALUES , OPTIMIZATION , ASYMPTOTIC NORMALITY , MATRICES(MATHEMATICS)


Subject Categories : Numerical Mathematics


Distribution Statement : APPROVED FOR PUBLIC RELEASE