Rational functions with prescribed global and local minimizers

Arnold Neumaier

Rational functions with prescribed global and local minimizers

Arnold Neumaier

Department of Mathematics

Publications: Contribution to journal › Article › Peer Reviewed

Abstract

A family of multivariate rational functions is constructed. It has strong local minimizers with prescribed function values at prescribed positions. While there might be additional local minima, such minima cannot be global. A second family of multivariate rational functions is given, having prescribed global minimizers and prescribed interpolating data.

Original language	English
Pages (from-to)	175-181
Number of pages	7
Journal	Journal of Global Optimization
Volume	25
Issue number	2
Publication status	Published - 2003

Austrian Fields of Science 2012

1010 Mathematics

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abstract = "A family of multivariate rational functions is constructed. It has strong local minimizers with prescribed function values at prescribed positions. While there might be additional local minima, such minima cannot be global. A second family of multivariate rational functions is given, having prescribed global minimizers and prescribed interpolating data.",

author = "Arnold Neumaier",

note = "DOI: 10.1023/A:1021949202565 Coden: JGOPE Affiliations: Institut f{\"u}r Mathematik, Universit{\"a}t Wien, Strudhofgasse 4, A-1090 Wien, Austria Adressen: Neumaier, A.; Institut f{\"u}r Mathematik; Universit{\"a}t Wien; Strudhofgasse 4 A-1090 Wien, Austria; email: [email protected] Source-File: 506Scopus.csv Import aus Scopus: 2-s2.0-0037323489 Importdatum: 24.01.2007 11:25:38 22.10.2007: Datenanforderung 1920 (Import Sachbearbeiter) 04.01.2008: Datenanforderung 2054 (Import Sachbearbeiter)",

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AU - Neumaier, Arnold

N1 - DOI: 10.1023/A:1021949202565 Coden: JGOPE Affiliations: Institut für Mathematik, Universität Wien, Strudhofgasse 4, A-1090 Wien, Austria Adressen: Neumaier, A.; Institut für Mathematik; Universität Wien; Strudhofgasse 4 A-1090 Wien, Austria; email: [email protected] Source-File: 506Scopus.csv Import aus Scopus: 2-s2.0-0037323489 Importdatum: 24.01.2007 11:25:38 22.10.2007: Datenanforderung 1920 (Import Sachbearbeiter) 04.01.2008: Datenanforderung 2054 (Import Sachbearbeiter)

PY - 2003

Y1 - 2003

N2 - A family of multivariate rational functions is constructed. It has strong local minimizers with prescribed function values at prescribed positions. While there might be additional local minima, such minima cannot be global. A second family of multivariate rational functions is given, having prescribed global minimizers and prescribed interpolating data.

AB - A family of multivariate rational functions is constructed. It has strong local minimizers with prescribed function values at prescribed positions. While there might be additional local minima, such minima cannot be global. A second family of multivariate rational functions is given, having prescribed global minimizers and prescribed interpolating data.

M3 - Article

SN - 0925-5001

VL - 25

SP - 175

EP - 181

JO - Journal of Global Optimization

JF - Journal of Global Optimization

IS - 2

ER -

Rational functions with prescribed global and local minimizers

Abstract

Austrian Fields of Science 2012

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