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Modern Trends in Hypercomplex Analysis pp 19–33Cite as

Birkhäuser

Greedy Algorithms and Rational Approximation in One and Several Variables

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Part of the book series: Trends in Mathematics ((TM))

Abstract

We will review the recent development of rational approximation in one and several real and complex variables. The concept rational approximation is closely related to greedy algorithms, based on a dictionary consisting of Szegő kernels in the present context.

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Author information

Authors and Affiliations

  1. INRIA, 2004 route des Lucioles, BP 93, F-06902, Sophia-Antipolis Cedex, France

    Laurent Baratchart

  2. Department of Mathematics, Faculty of Science and Technology, University of Macau, Macau, China

    Wei-Xiong Mai & Tao Qian

Authors
  1. Laurent Baratchart
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  2. Wei-Xiong Mai
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  3. Tao Qian
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Corresponding author

Correspondence to Laurent Baratchart .

Editor information

Editors and Affiliations

  1. Institute of Applied Analysis, TU Bergakademie Freiberg, Freiberg, Germany

    Swanhild Bernstein

  2. Departamento de Matemática, Universidade de Aveiro, Aveiro, Portugal

    Uwe Kähler

  3. Dip. di Matematica, Politecnico di Milano, Milano, Italy

    Irene Sabadini

  4. Department of Mathematical Analysis, Ghent University, Gent, Belgium

    Franciscus Sommen

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© 2016 Springer International Publishing Switzerland

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Cite this paper

Baratchart, L., Mai, WX., Qian, T. (2016). Greedy Algorithms and Rational Approximation in One and Several Variables. In: Bernstein, S., Kähler, U., Sabadini, I., Sommen, F. (eds) Modern Trends in Hypercomplex Analysis. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-42529-0_2

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