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) : Goldstein,Marvin J.

Report Date : 24 MAY 1973

Pagination or Media Count : 18

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 Jacobi's 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)

Descriptors :   (*MATRICES(MATHEMATICS), THEOREMS), ITERATIONS, COMPLEX NUMBERS, EFFICIENCY

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE