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The reciprocals of some characteristic 2 "theta series"
theta series Number Theory
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2011/9/16
Abstract: Suppose l=2m+1, m>0. We introduce m "theta-series", [1],...,[m], in Z/2[[x]]. It has been conjectured that the n for which the coefficient of x^n in 1/[i] is 1 form a set of density 0. This ...
The Padé iterations for the matrix sign function and their reciprocals are optimal
The Padé iterations the matrix sign function reciprocals
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2010/11/12
It is proved that among the rational iterations locally converging with order s>1 to the sign function, the Pad\'e iterations and their reciprocals are the unique rationals with the lowest sum of the ...