Date of Completion

6-10-2016

Embargo Period

6-10-2016

Major Advisor

Vadim Olshevsky

Associate Advisor

Alexander Teplyaev

Associate Advisor

Dmitriy Leykekhman

Field of Study

Mathematics

Open Access

Open Access

Abstract

The Vandermonde matrix and Cauchy matrix are classical and are encountered in polynomial and rational interpolation computation respectively. The structure of these matrices lead to fast inversion algorithms and system solvers. We look to extend these properties to other structured matrices, including Cauchy-Vandermonde matrices and systems involving Laurent polynomials.

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