Complex Numbers

Jean-Michel Muller, Nicolas Brunie, Florent de Dinechin, Claude-Pierre Jeannerod, Mioara Joldes, Vincent Lefèvre, Guillaume Melquiond, Nathalie Revol and Serge Torres
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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

Chapter Chapter 11 in Handbook of Floating-Point Arithmetic, 2018, pp 437-452 from Springer

Abstract: 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.

Keywords: Componentwise Relative Error; Normwise; Complex Absolute Value; Binary Floating-Point Arithmetic; Underflow (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/978-3-319-76526-6_11

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