James Nagy

Publication Date

1988

Document Type

Dissertation/Thesis

First Advisor

Ammar, Gregory S.

Degree Name

M.S. (Master of Science)

Legacy Department

Department of Mathematical Sciences

LCSH

Algorithms; Equations; Toeplitz matrices

Abstract

We describe a method for solving a linear system of equations Mx = y, where M is an n X n Toeplitz matrix, which takes 0(n log² n) arithmetic operations. The algorithm discussed in this thesis is based on the method developed independently by de Hoog and Musicus. We show that when M is (Hermitian) positive definite the algorithm reduces to the Generalized Schur algorithm as discussed by Ammar and Gragg. Finally, since the above algorithms require n to be a power of 2, we show how this constraint can be relaxed to include other values of n for the positive definite case.

Comments

Bibliography: pages [68]-69.

Extent

69 pages

Language

eng

Publisher

Northern Illinois University

Rights Statement

In Copyright

Rights Statement 2

NIU theses are protected by copyright. They may be viewed from Huskie Commons for any purpose, but reproduction or distribution in any format is prohibited without the written permission of the authors.

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