On the Multiplicity of Solutions of the Inverse Problem for a Vibrating Beam.

Abstract

The 2 to the N-1 power fold multiplicity of solutions found by Boley and Golub in their study of the inverse problem for N x N symmetric, pentadiagonal matrices contrasts with the unicity of the solution of the inverse problem for an inhomogeneous, discrete beam. The reason for this discrepancy is elucidated and can be traced to the different properties of the spectral data used in the two cases. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1978
Accession Number
ADA054248

Entities

People

  • Victor Barcilon

Organizations

  • University of Chicago

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Delta Functions
  • Difference Equations
  • Differential Equations
  • Engineering
  • Equations
  • Frequency
  • Frequency Domain
  • Identities
  • Inverse Problems
  • Polynomials
  • Quadratic Equations
  • Security
  • Spectra
  • Vibration

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Spectroscopy.
  • Systems Analysis and Design