Accession Number:

AD0761978

Title:

A Reduction of the Eigenproblem for Hermitian Toeplitz Matrices.

Descriptive Note:

Technical rept.,

Corporate Author:

NAVAL UNDERWATER SYSTEMS CENTER NEWPORT R I

Personal Author(s):

Report Date:

1973-05-24

Pagination or Media Count:

18.0

Abstract:

Call the problem of finding the eigenvalues and a complete set of linearly independent eigenvectors of an n-th order Hermitian Toeplitz matrix, R, the eigenproblem. In the report, exploring the structure of the eigenspace of a typical eigenvalue of R, the author derives a method to solve the eigenproblem for R by solving the eigenproblem for an n-th order real symmetric matrix by either Jacobis method or the Givens-Householder method and inverse iteration. If R is real symmetric, then its eigenproblem reduces to the eigenproblems for two smaller real symmetric matrices. This simplification of the eigenproblem economizes on the use of main computer memory. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE