Definitheitsbedingungen für relative Extrema bei Optimierungs- und Approximationsaufgaben

W. Wetterling

doi:10.1007/BF02165377

Definitheitsbedingungen für relative Extrema bei Optimierungs- und Approximationsaufgaben

W. Wetterling

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Abstract

In this paper, sufficient and necessary maximum conditions are established for a class of mathematical programming problems with an infinite set of restrictions, which is described by a finite number of inequalities. The criteria may be applied to nonlinear approximation problems and to the numerical solution of boundary value problems.

Original language	German
Pages (from-to)	122-136
Journal	Numerische Mathematik
Volume	15
Issue number	2
DOIs	https://doi.org/10.1007/BF02165377
Publication status	Published - 1970

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title = "Definitheitsbedingungen f{\"u}r relative Extrema bei Optimierungs- und Approximationsaufgaben",

abstract = "In this paper, sufficient and necessary maximum conditions are established for a class of mathematical programming problems with an infinite set of restrictions, which is described by a finite number of inequalities. The criteria may be applied to nonlinear approximation problems and to the numerical solution of boundary value problems.",

author = "W. Wetterling",

year = "1970",

doi = "10.1007/BF02165377",

language = "German",

volume = "15",

pages = "122--136",

journal = "Numerische Mathematik",

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T1 - Definitheitsbedingungen für relative Extrema bei Optimierungs- und Approximationsaufgaben

AU - Wetterling, W.

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N2 - In this paper, sufficient and necessary maximum conditions are established for a class of mathematical programming problems with an infinite set of restrictions, which is described by a finite number of inequalities. The criteria may be applied to nonlinear approximation problems and to the numerical solution of boundary value problems.

AB - In this paper, sufficient and necessary maximum conditions are established for a class of mathematical programming problems with an infinite set of restrictions, which is described by a finite number of inequalities. The criteria may be applied to nonlinear approximation problems and to the numerical solution of boundary value problems.

U2 - 10.1007/BF02165377

DO - 10.1007/BF02165377

M3 - Article

SN - 0029-599X

VL - 15

SP - 122

EP - 136

JO - Numerische Mathematik

JF - Numerische Mathematik

IS - 2

ER -