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Enclosing all zeros...
Enclosing all zeros of a system of analytic functions
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- Dahne, Joel (author)
- Uppsala universitet,Matematiska institutionen
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- Ciappina, M. F. (author)
- Max Planck Inst Quantum Opt, Hans Kopfermann Str 1, D-85748 Garching, Germany;ASCR, Inst Phys, ELI Beamlines Project, Na Slovance 2, Prague 18221, Czech Republic
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- Tucker, Warwick, 1970- (author)
- Uppsala universitet,Matematiska institutionen
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(creator_code:org_t)
- Elsevier, 2019
- 2019
- English.
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In: Applied Mathematics and Computation. - : Elsevier. - 0096-3003 .- 1873-5649. ; 348, s. 513-522
- Related links:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Subject headings
Close
- We present a rigorous numerical method for location of simple zeros of a system of two analytic functions in a rectangular cuboid domain based on the logarithmic integral. We compare this to a simpler, also rigorous, method based on bisection. The latter is determined to be more efficient in the examples considered. This is mainly due to inefficient methods for computing the logarithmic integral occurring in the former method. (C) 2018 Elsevier Inc. All rights reserved.
Subject headings
- NATURVETENSKAP -- Data- och informationsvetenskap -- Datavetenskap (hsv//swe)
- NATURAL SCIENCES -- Computer and Information Sciences -- Computer Sciences (hsv//eng)
Keyword
- Rigorous numerics
- Argument principle
- Root finding
- Interval analysis
- Systems of analytic functions
Publication and Content Type
- ref (subject category)
- art (subject category)
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