Inequalities Connecting Eigenvalues & Nonprincipal Subdeterminants.

Abstract

The nonprincipal subdeterminants of a normal matrix satisfy certain quadratic identities. In this paper, these identities are used to obtain upper bounds on such subdeterminants in terms of elementary symmetric functions of the moduli of the eigenvalues. The same analysis yields lower bounds on the spread of a normal matrix and on the Hilbert norm of an arbitrary matrix. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1980
Accession Number
ADA091503

Entities

People

  • Ivan Filippenko
  • Marvin Marcus

Organizations

  • University of California, Santa Barbara

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Algebra
  • California
  • Complex Numbers
  • Convex Sets
  • Eigenvalues
  • Identities
  • Inequalities
  • Numbers
  • Sequences
  • Theorems
  • Universities

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Molecular Photonics/Laser Physics