On first zero crossing points

M A  Wolfe

doi:10.1016/S0096-3003(03)00285-6

On first zero crossing points

M A Wolfe

Applied Mathematics

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

Abstract

Three algorithms, FZ1, FZ2 and FZ3 for bounding the first zero crossing point of a set of univariate functions on a bounded closed interval are described. Extended interval arithmetic is used in both FZ2 and FZ3. Automatic derivative arithmetic is used in FZ2 and automatic slope arithmetic is used in FZ3. Numerical results are presented. (C) 2003 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	467-479
Number of pages	13
Journal	Applied Mathematics and Computation
Volume	150
Issue number	2
DOIs	https://doi.org/10.1016/S0096-3003(03)00285-6
Publication status	Published - 8 Mar 2004

Keywords

interval mathematics
automatic derivative and slope arithmetic
the interval Newton operator
EQUATIONS

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10.1016/S0096-3003(03)00285-6

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abstract = "Three algorithms, FZ1, FZ2 and FZ3 for bounding the first zero crossing point of a set of univariate functions on a bounded closed interval are described. Extended interval arithmetic is used in both FZ2 and FZ3. Automatic derivative arithmetic is used in FZ2 and automatic slope arithmetic is used in FZ3. Numerical results are presented. (C) 2003 Elsevier Inc. All rights reserved.",

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AB - Three algorithms, FZ1, FZ2 and FZ3 for bounding the first zero crossing point of a set of univariate functions on a bounded closed interval are described. Extended interval arithmetic is used in both FZ2 and FZ3. Automatic derivative arithmetic is used in FZ2 and automatic slope arithmetic is used in FZ3. Numerical results are presented. (C) 2003 Elsevier Inc. All rights reserved.

KW - interval mathematics

KW - automatic derivative and slope arithmetic

KW - the interval Newton operator

KW - EQUATIONS

U2 - 10.1016/S0096-3003(03)00285-6

DO - 10.1016/S0096-3003(03)00285-6

M3 - Article

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VL - 150

SP - 467

EP - 479

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -

On first zero crossing points

Abstract

Keywords

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