Extremal Eigenvalues of Real Symmetric Matrices with Entries in an Interval

  • Authors:
  • Xingzhi Zhan

  • Affiliations:
  • -

  • Venue:
  • SIAM Journal on Matrix Analysis and Applications
  • Year:
  • 2005

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Abstract

We determine the exact range of the smallest and largest eigenvalues of real symmetric matrices of a given order whose entries are in a given interval. The maximizing and minimizing matrices are specified. We also consider the maximal spread of such matrices.