Journal of Optimization Theory and Applications, volume 35, issue 3, pages 303-338
Quasiconvex, pseudoconvex, and strictly pseudoconvex quadratic functions
Publication type: Journal Article
Publication date: 1981-11-01
Q1
Q3
SJR: 0.864
CiteScore: 3.3
Impact factor: 1.6
ISSN: 00223239, 15732878
Applied Mathematics
Control and Optimization
Management Science and Operations Research
Abstract
The purpose of this paper is twofold. Firstly, criteria for quasiconvex and pseudoconvex quadratic functions in nonnegative variables of Cottle, Ferland, and Martos are derived by specializing criteria proved by the author. We do not make use of the concept of positive subdefinite matrices. Instead, we are specializing criteria that were derived for quadratic functions on arbitrary convex sets to the special case of quadratic functions in nonnegative variables. The second purpose of this paper is to present several new criteria involving also strictly pseudoconvex quadratic functions.
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Schaible S. Quasiconvex, pseudoconvex, and strictly pseudoconvex quadratic functions // Journal of Optimization Theory and Applications. 1981. Vol. 35. No. 3. pp. 303-338.
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Schaible S. Quasiconvex, pseudoconvex, and strictly pseudoconvex quadratic functions // Journal of Optimization Theory and Applications. 1981. Vol. 35. No. 3. pp. 303-338.
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RIS
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TY - JOUR
DO - 10.1007/bf00934906
UR - https://doi.org/10.1007/bf00934906
TI - Quasiconvex, pseudoconvex, and strictly pseudoconvex quadratic functions
T2 - Journal of Optimization Theory and Applications
AU - Schaible, S.
PY - 1981
DA - 1981/11/01
PB - Springer Nature
SP - 303-338
IS - 3
VL - 35
SN - 0022-3239
SN - 1573-2878
ER -
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@article{1981_Schaible,
author = {S. Schaible},
title = {Quasiconvex, pseudoconvex, and strictly pseudoconvex quadratic functions},
journal = {Journal of Optimization Theory and Applications},
year = {1981},
volume = {35},
publisher = {Springer Nature},
month = {nov},
url = {https://doi.org/10.1007/bf00934906},
number = {3},
pages = {303--338},
doi = {10.1007/bf00934906}
}
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MLA
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Schaible, S.. “Quasiconvex, pseudoconvex, and strictly pseudoconvex quadratic functions.” Journal of Optimization Theory and Applications, vol. 35, no. 3, Nov. 1981, pp. 303-338. https://doi.org/10.1007/bf00934906.