NUMERICAL EXAMPLES IN THE INVESTIGATION OF A PARTICULAR MATRIX IN EIGENVECTOR THEORY.

Abstract

For every orthonornal matrix X there exists a skew-symmetric matrix N such that X = (I-N)/(I+N), provided that 1/(I+N) exists. A matrix K, similar to N, can be defined for biorthonormal matrices U and V such that U = (I-K)/(I+K), provided that 1/(I+K) exists. Numerical methods are presented for examination of the properties of K. The particular property anticipated for K, that it exhibit n(n-1) basic parameters inherent in biorthonormal matrices, is not apparent in the numerical examples derived. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1965
Accession Number
AD0475402

Entities

People

  • Albert N. Yost

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Algebra
  • Eigenvectors
  • Linear Algebra
  • Mathematics
  • Matrices (Mathematics)

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Systems Analysis and Design