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ANZIAM J. 46(E) pp.C1327--C1335, 2006.

Some remarks on the inverse eigenvalue problem for real symmetric Toeplitz matrices

N. Li

(Received 8 October 2004, revised 17 November 2005)

Abstract

A theorem about the bounds of solutions of the Toeplitz Inverse Eigenvalue Problem is introduced and proved. It can be applied to make a better starting generator for iterative numerical methods. This application is tested through a short Mathematica program. Also an optimisation method for solving the Toeplitz Inverse Eigenvalue Problem with a global convergence property is presented. A global convergence theorem is proved.

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Authors

N. Li

Mathematics Discipline, Faculty of Engineering and Industrial Sciences, Swinburne University of Technology, Melbourne, Australia. mailto:nli@swin.edu.au

Published January 6, 2006. ISSN 1446-8735

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