The Schwarz Normal Form of a Matrix and Its Application to Flutter Stability Problems (Ein Verfahren zur Stabilitatsfrage bei Matrizen-Eigenwert Problem),

Abstract

Given the Eigenvalue problem (A - lambda E)x = 0 for a real or complex matrix A, the number of Eigenvalues lambda with positive real parts is determined without evaluating the characteristic polynomial. A procedure is developed to transform the given matrix A to a canonical form by means of a finite series of elementary transformations of the matrix. The elements of the reduced matrix allow one to solve immediately the stability problem. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1973
Accession Number
AD0773190

Entities

People

  • Hans-rudolf Schwarz

Tags

DTIC Thesaurus Topics

  • Continents
  • Differential Equations
  • Eigenvalues
  • Equations
  • Eurasia
  • Europe
  • Geographic Regions
  • Mathematics
  • Polynomials
  • Switzerland

Fields of Study

  • Mathematics

Readers

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  • Statistical inference.
  • Structural Dynamics.