The Padé iterations for the matrix sign function and their reciprocals are optimal - Mathematics > Numerical AnalysisReport as inadecuate




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Abstract: It is proved that among the rational iterations locally converging with orders>1 to the sign function, the Pad\-e iterations and their reciprocals are theunique rationals with the lowest sum of the degrees of numerator anddenominator.



Author: Federico Greco, Bruno Iannazzo, Federico Poloni

Source: https://arxiv.org/



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