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Transformation Techniques for Toeplitz and Toeplitz-plus-Hankel Matrices Part I. Transformations
Abstract
Transformations of the form A to C1AC2 are investigated that
transform Toeplitz and Toeplitz-plus-Hankel matrices into generalized Cauchy matrices. C1 and C2 are matrices related to the discrete Fourier transformation or to various real trigonometric transformations. Combining these results with pivoting techniques, in part II algorithms for Toeplitz and Toeplitz-plus-Hankel systems will be presented that are more stable than classical algorithms.
Date Issued
1996-08Publisher
Cornell University
Subject
theory center
Previously Published As
http://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.tc/96-250
Type
technical report