TECHNIQUES IN INTRINSIC ANALYSIS.

Abstract

Intrinsic analysis is a data reduction technique which allows a set of data vectors to be approximated to a given mean square error by a minimum number of coefficients. This report develops the analysis, showing the relation to other developments and proves several results about the relation between the row space and column space of matrices. The problem of error propagation and control is considered from several points of view and the effect of ambiguous data on the algebraic eigenvalue problem discussed. Finally, a survey is made of computational algorithms for the algebraic eigenproblem for large ambiguous second momet matrices, and two new algorithms proposed: one for very large matrices and the other for complex hermitian matrices.

Document Details

Document Type
Technical Report
Publication Date
Oct 31, 1966
Accession Number
AD0651071

Entities

People

  • Robert M. Colomb

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Coefficients
  • Data Processing
  • Data Reduction
  • Differential Equations
  • Eigenvalues
  • Equations
  • Mathematics

Readers

  • Linear Algebra
  • Theoretical Analysis.

Technology Areas

  • Space