Collection of reviews and papers on convergence of Pade by Baker G.A., et al.

By Baker G.A., et al.

A selective survey is given of convergence effects for sequences of Pade approximants. a variety of techniques for facing the convergence difficulties as a result of "defects" are mentioned. recognition is attracted to the shut courting among analyticity homes of a functionality and the "smoothness" of its Taylor sequence coefficients. a brand new theorem at the convergence of horizontal sequences of Pade approximants to capabilities within the Baker-Gammel-Wills conjecture functionality category is gifted.

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105). It follows that F (t) = |α|4 + |β|4 + 2|α|2|β|2 Re[ m0 (t) | m1 (t) ] . (112) The expression above depends on the initial state | φ and clearly indicates that some states are more vulnerable to decoherence than others. In order to get rid of this dependence we consider the average fidelity, calculated under the assumption that any initial state | φ is equally probable. Taking into account the normalisation constraint the average fidelity is given by 1 F¯ (t) = 0 1 F (t) d |α|2 = (2 + Re[ m0 (t) | m1 (t) ]) .

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