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.
The Padé iterations for the matrix sign function and their reciprocals are optimal
GRECO, FEDERICO;IANNAZZO, Bruno;
2012
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.File in questo prodotto:
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