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Journal of Computational and Applied Mathematics
Article
License: Elsevier Non-Commercial
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Journal of Computational and Applied Mathematics
Article . 1986
License: Elsevier Non-Commercial
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Journal of Computational and Applied Mathematics
Article . 1986 . Peer-reviewed
License: Elsevier Non-Commercial
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Automation of the manipulation of multivariate power series

Authors: Forbes, G.W.;

Automation of the manipulation of multivariate power series

Abstract

The implementation of the author's algorithms for the manipulation of power series [ibid. 15, 27-36 (1986; reviewed above)] is here discussed in detail. For the efficiency important computer science aspects, such as the organization of loops and the storage of the coefficients are treated carefully. The resulting routines, which are expressed in a form that can be translated easily into a higher computer language, are remarkably compact and general. They can use weighted truncation with an arbitrary weight function, and they can efficiently manipulate power series in an arbitrary number of variables.

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Keywords

Multivariate power series, reversion, Software, source code, etc. for problems pertaining to real functions, Applied Mathematics, weighted truncation, algorithms, Series expansions (e.g., Taylor, Lidstone series, but not Fourier series), Symbolic computation and algebraic computation, multivariate power series, Real-analytic functions, algebraic operations, Computational Mathematics, composition, Numerical summation of series, Calculus of vector functions, power series manipulation

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Top 10%
Average
hybrid