Characterization of the determinant of a Laguerre matrix

A Toeplitz-like matrix has naturally occurred in the construction of iteration functions for finding zeroes of an analytic function. In this note, we study the properties of a Toeplitz-like matrix, and its relationship to the well known Toeplitz matrix involving normalized derivatives of an analytic...

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Bibliographic Details
Published in:Journal of applied mathematics & computing 2011-08, Vol.36 (1-2), p.233-239
Main Authors: Ham, Yoonmee, Lee, Sang-Gu, Phong, Vu Quoc
Format: Article
Language:English
Subjects:
Applied mathematics
Computational Mathematics and Numerical Analysis
Mathematical analysis
Mathematical and Computational Engineering
Mathematics
Mathematics and Statistics
Mathematics of Computing
Matrix
Studies
Theory of Computation
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Summary:A Toeplitz-like matrix has naturally occurred in the construction of iteration functions for finding zeroes of an analytic function. In this note, we study the properties of a Toeplitz-like matrix, and its relationship to the well known Toeplitz matrix involving normalized derivatives of an analytic function.
ISSN:1598-5865
1865-2085
DOI:10.1007/s12190-010-0399-2