The Padé iterations for the matrix sign function and their reciprocals are optimal

It is proved that among the rational iterations locally converging with order s>1 to the sign function, the Padé iterations and their reciprocals are the unique with the lowest sum of the degrees of numerator and denominator.



Titolo: The Padé iterations for the matrix sign function and their reciprocals are optimal
Autori: 
GRECO, FEDERICO
IANNAZZO, Bruno
mostra contributor esterni 
Data di pubblicazione: 2012
Rivista: 
LINEAR ALGEBRA AND ITS APPLICATIONS  
Abstract: It is proved that among the rational iterations locally converging with order s>1 to the sign function, the Padé iterations and their reciprocals are the unique with the lowest sum of the degrees of numerator and denominator.
Handle: http://hdl.handle.net/11391/290096
Appare nelle tipologie:1.1 Articolo in rivista

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http://hdl.handle.net/11391/290096
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