On the calculation of the exact number of zeroes of a set of equations

B.J. Hoenders; C.H. Slump

doi:10.1007/BF02280784

On the calculation of the exact number of zeroes of a set of equations

B.J. Hoenders^*, C.H. Slump

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

23 Citations (Scopus)

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Abstract

The number of simple zeroes common to a set of nonlinear equations is calculated exactly and analytically in terms of an integral taken over the boundary of the domain of interest. The integrand consists only of simple algebraic quantities containing the functions involved as well as their derivatives up to second order. The numerical feasibility is shown by some computed examples.

Original language	English
Pages (from-to)	137-147
Number of pages	11
Journal	Computing
Volume	30
Issue number	2
DOIs	https://doi.org/10.1007/BF02280784
Publication status	Published - 1 Jun 1983
Externally published	Yes

Keywords

Computational mathematic
Nonlinear equation
Exact number
Simple zero
Algebraic quantity

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10.1007/BF02280784

Hoenders1983onFinal published version, 437 KB

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On the calculation of the exact number of zeroes of a set of equations

Abstract

Keywords

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