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Complex Numbers

In: Handbook of Floating-Point Arithmetic

Author

Listed:
  • Jean-Michel Muller

    (CNRS - LIP)

  • Nicolas Brunie

    (Kalray)

  • Florent de Dinechin

    (INSA-Lyon - CITI)

  • Claude-Pierre Jeannerod

    (Inria - LIP)

  • Mioara Joldes

    (CNRS - LAAS)

  • Vincent Lefèvre

    (Inria - LIP)

  • Guillaume Melquiond

    (Inria - LRI)

  • Nathalie Revol

    (Inria - LIP)

  • Serge Torres

    (ENS-Lyon - LIP)

Abstract

Complex numbers naturally appear in many domains (such as electromagnetism, quantum mechanics, and relativity). It is of course always possible to express the various calculations that use complex numbers in terms of real numbers only. However, this will frequently result in programs that are larger and less clear. A good complex arithmetic would make numerical programs devoted to these problems easier to design, understand, and debug.

Suggested Citation

  • Jean-Michel Muller & Nicolas Brunie & Florent de Dinechin & Claude-Pierre Jeannerod & Mioara Joldes & Vincent Lefèvre & Guillaume Melquiond & Nathalie Revol & Serge Torres, 2018. "Complex Numbers," Springer Books, in: Handbook of Floating-Point Arithmetic, edition 2, chapter 0, pages 437-452, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-76526-6_11
    DOI: 10.1007/978-3-319-76526-6_11
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