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Computing the Minimum Eigenvalue of a Symmetric Positive Definite Toeplitz Matrix

Author
Cybenko, George; Van Loan, Charles
Abstract
A method for computing the smallest eigenvalue of a symmetric positive definite Toeplitz matrix is given. It relies solely upon the Levinson-Durbin algorithm. The procedure involves a combination of bisection and Newton's method. Good starting values are also shown to be obtainable from the Levinson-Durbin algorithm.
Date Issued
1982-04Publisher
Cornell University
Subject
computer science; technical report
Previously Published As
http://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.cs/TR82-527
Type
technical report