Chebyshev approximation of a point set by a straight line

Wolfgang Wetterling; Martin Streng

doi:10.1007/BF01263063

Chebyshev approximation of a point set by a straight line

Wolfgang Wetterling
, Martin Streng

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

2 Citations (Scopus)

275 Downloads (Pure)

Abstract

The problem of calculating the best approximating straight line—in the sense of Chebyshev—to a finite set of points inRn is considered. First-and second-order optimality conditions are derived and analysed. Lipschitz optimization techniques can be used to find a global minimizer.

Original language	English
Pages (from-to)	187-196
Journal	Constructive approximation
Volume	10
Issue number	2
DOIs	https://doi.org/10.1007/BF01263063
Publication status	Published - 1994

Access to Document

10.1007/BF01263063

Chebyshev1994chebyshevFinal published version, 453 KB

Cite this

@article{858846632d6b4994b1dc787544cafa97,

title = "Chebyshev approximation of a point set by a straight line",

abstract = "The problem of calculating the best approximating straight line—in the sense of Chebyshev—to a finite set of points inRn is considered. First-and second-order optimality conditions are derived and analysed. Lipschitz optimization techniques can be used to find a global minimizer.",

author = "Wolfgang Wetterling and Martin Streng",

year = "1994",

doi = "10.1007/BF01263063",

language = "English",

volume = "10",

pages = "187--196",

journal = "Constructive approximation",

issn = "0176-4276",

publisher = "Springer",

number = "2",

}

TY - JOUR

T1 - Chebyshev approximation of a point set by a straight line

AU - Wetterling, Wolfgang

AU - Streng, Martin

PY - 1994

Y1 - 1994

N2 - The problem of calculating the best approximating straight line—in the sense of Chebyshev—to a finite set of points inRn is considered. First-and second-order optimality conditions are derived and analysed. Lipschitz optimization techniques can be used to find a global minimizer.

AB - The problem of calculating the best approximating straight line—in the sense of Chebyshev—to a finite set of points inRn is considered. First-and second-order optimality conditions are derived and analysed. Lipschitz optimization techniques can be used to find a global minimizer.

U2 - 10.1007/BF01263063

DO - 10.1007/BF01263063

M3 - Article

SN - 0176-4276

VL - 10

SP - 187

EP - 196

JO - Constructive approximation

JF - Constructive approximation

IS - 2

ER -

Chebyshev approximation of a point set by a straight line

Abstract

Access to Document

Fingerprint

Cite this