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    Komleva-type expansions and asymptotics for linear operators

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    In this paper, we prove asymptotic Komleva-type expansions valid for sequences of linear operators {Tn(·)} approximating the identity in supremum norm over the space of the continuous functions. In particular, under suitable mild conditions on the sequence {Tn(·)}, we obtain rational expansions for {Tn(f)} that are of special interest in a numerical analysis context. As special cases of these results, we find asymptotic expansions for expotential-type and De La Vallée Poussin polynomial operators. The case of the Cesaro sums is discussed in connection with the Komleva theory, but the main asymptotic results are proved by using other tools coming from a context of structured linear algebra. Some numerical applications of the theoretical part are then discussed

    Going Beyond Counting First Authors in Author Co-citation Analysis

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    The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
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