The direct power of adjacent vertex programming methods.pdf

时间:2022-09-11 03:18:39
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文件名称:The direct power of adjacent vertex programming methods.pdf

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更新时间:2022-09-11 03:18:39

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How far does the power of the adjacent vertex methods extend in solvingnon-linear programming problems? This question here gets a partial answebeing restricted to variables and objective functions which are continuous andexcluding any transformation or approximation of the original syatem. Theunderlying concepts are that of quasi-concavity and quasi-monotonicityNecessary and sufficient characteristics of the family of objective functionare given in due generality although in some cases subjeet to several differ-entiability assumptions. For these latter cases a simple criterion of vectselection is presented. Finally the problem of linear fractional programming isbriefly discussed as an example


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