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Titlebook: Interpolation, Schur Functions and Moment Problems II; Daniel Alpay,Bernd Kirstein Book 2012 Springer Basel 2012 Carathéodory and Nevanlin

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On a Schur-type Algorithm for Sequences of Complex ,-matrices and its Interrelations with the Canone dealt with in the degenerate and non-degenerate cases, simultaneously. A closer analysis of their algorithm showed that it implicitly contains an interesting procedure for sequences belonging .This procedure serves as the focus of our work here, although we have chosen a slightly different and mor
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0255-0156 -valued Carathéodory functions and maximal weight solutions for particular matricial moment problems on the unit circle.​.978-3-0348-0742-5978-3-0348-0428-8Series ISSN 0255-0156 Series E-ISSN 2296-4878
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Bernd Fritzsche,Bernd Kirstein,Andreas Lasarow,Armin Rahn
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,On Reciprocal Sequences of Matricial Carathéodory Sequences and Associated Matrix Functions,the relationship a reciprocal sequence has to its original sequence. The properties of such reciprocal sequences are described. Of particular interest is the fact that the reciprocal sequence of a Carathodory sequence is again a Carathodory sequence. Later, these results are applied to matrix-valued
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,On a Special Parametrization of Matricial α-Stieltjes One-sided Non-negative Definite Sequences,egative definite sequences of complex q × q matrices. The study of this class and some of its important subclasses is the central theme of this paper. We introduce an inner parametrization for sequences of complex matrices, which is particularly well-suited to the class of sequences under considerat
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