1994SIAM Journal on Matrix Analysis and ApplicationsRequires access

Numerical Solution of the Eigenproblem for Banded, Symmetric Toeplitz Matrices

Susan L. Handy, Jesse L. Barlow

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Abstract

A fast method for calculating the eigensystem of a banded, symmetric Toeplitz matrix is presented. The method is based on the use of rank-one updates and employs deflation to reduce problem size whenever possible.

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A fast method for calculating the eigensystem of a banded, symmetric Toeplitz matrix is presented. The method is based on the use of rank-one updates and employs deflation to reduce problem size whenever possible.

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Available abstract

A fast method for calculating the eigensystem of a banded, symmetric Toeplitz matrix is presented. The method is based on the use of rank-one updates and employs deflation to reduce problem size whenever possible.

Key concepts: Toeplitz matrix, Mathematics, Rank (graph theory), Symmetric matrix, Matrix (chemical analysis), Applied mathematics, Levinson recursion, Combinatorics

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