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A note on the relation between two convergence acceleration methods for ordinary continued fractions

โœ Scribed by Paul Levrie; Adhemar Bultheel


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
354 KB
Volume
101
Category
Article
ISSN
0377-0427

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โœฆ Synopsis


In this note we relate two methods of convergence acceleration for ordinary continued fractions, the first one is due


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In this paper, we consider solutions of Toeplitz systems Au = b where the Toeplitz matrices A are generated by nonnegative functions with zeros. Since the matrices A are ill-conditioned, the convergence factor of classical iterative methods, such as the Richardson method, will approach 1 as the size