Minimum Eigenvalue Separation

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.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1992
Accession Number
ADA256570

Entities

People

  • Beresford Parlett
  • Tzon-tzer Lu

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Applied Mathematics
  • Asymptotic Series
  • Boundaries
  • Chebyshev Polynomials
  • Computations
  • Difference Equations
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Geometry
  • Inequalities
  • Intervals
  • Iterations
  • Mathematics
  • Polynomials
  • Power Series
  • Sequences

Fields of Study

  • Mathematics
  • Physics

Readers

  • Academic Conference Management
  • Linear Algebra