On the determination of the number and multiplicity of zeros of a function

B.J. Hoenders; C.H. Slump

doi:10.1007/BF02320200

On the determination of the number and multiplicity of zeros of a function

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

^*Corresponding author for this work

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

6 Citations (Scopus)

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Abstract

It is shown that certain simple integrals determine the number of zeros with a certain multiplicity of a function of one variable in an arbitrary interval. Several typical numerical examples are given.

Original language	English
Pages (from-to)	323-336
Number of pages	14
Journal	Computing
Volume	47
Issue number	3-4
DOIs	https://doi.org/10.1007/BF02320200
Publication status	Published - 1992

Keywords

MULTIPLICITY
ZERO IDENTIFICATION
GLOBAL OPTIMIZATION

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title = "On the determination of the number and multiplicity of zeros of a function",

abstract = "It is shown that certain simple integrals determine the number of zeros with a certain multiplicity of a function of one variable in an arbitrary interval. Several typical numerical examples are given.",

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journal = "Computing",

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AU - Hoenders, B.J.

AU - Slump, C.H.

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Y1 - 1992

N2 - It is shown that certain simple integrals determine the number of zeros with a certain multiplicity of a function of one variable in an arbitrary interval. Several typical numerical examples are given.

AB - It is shown that certain simple integrals determine the number of zeros with a certain multiplicity of a function of one variable in an arbitrary interval. Several typical numerical examples are given.

KW - MULTIPLICITY

KW - ZERO IDENTIFICATION

KW - GLOBAL OPTIMIZATION

U2 - 10.1007/BF02320200

DO - 10.1007/BF02320200

M3 - Article

SN - 0010-485X

VL - 47

SP - 323

EP - 336

JO - Computing

JF - Computing

IS - 3-4

ER -

On the determination of the number and multiplicity of zeros of a function

Abstract

Keywords

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