BibTeX
@INPROCEEDINGS{
Lyness1967NAB,
author = "Lyness, J. N.",
title = "Numerical Algorithms Based on the Theory of Complex Variable",
year = "1967",
isbn = "9781450374941",
publisher = "Association for Computing Machinery",
address = "New York, NY, USA",
url = "https://doi.org/10.1145/800196.805983",
doi = "10.1145/800196.805983",
abstract = "Since its introduction in the early part of the nineteenth century, the theory of
complex variables has played a steadily increasing role in mathematics, and in scientific research.
In some fields complex algebra is used to simplify the description of a physical system. The use of
a complex impedance Z in network theory is an example of this. In other fields complex algebra seems
to be a basic ingredient of the physical laws. In Wave Mechanics for example a probability density
P(x,t) is related to the square modulus of a wave function ψ(x,t) which is itself complex,
being obtained from a wave equation whose coefficients may be complex.In mathematical research
itself, it is rare to find a topic which is naturally restricted to real variables, and in many
topics the extension to complex variables results in a simpler theory. For example a polynomial of
degree n has exactly n zeros in the field of complex numbers.",
booktitle = "Proceedings of the 1967 22nd National Conference",
pages = "125133",
numpages = "9",
location = "Washington, D.C., USA",
series = "ACM '67",
ad_theotech = "Complex Step Differentiation"
}
