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  • 1
    Electronic Resource
    Electronic Resource
    Fractional programming by lower subdifferentiability techniques (1991)
    Springer
    Journal of optimization theory and applications 68 (1991), S. 95-116 
    Details
    ISSN: 1573-2878
    Keywords: Fractional programming ; lower subdifferentiable functions ; duality ; optimality conditions ; cutting planes
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The notion of lower subdifferentiability is applied to the analysis of convex fractional programming problems. In particular, duality results and optimality conditions are presented, and the applicability of a cutting-plane algorithm using lower subgradients is discussed. These methods are useful also in generalized fractional programming, where, in the linear case, the performance of the cutting-plane algorithm is compared with that of the most efficient version of the Dinkelbach method, which is based on the solution of a parametric linear programming problem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00939937
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Characterization of R-Evenly Quasiconvex Functions (1997)
    Springer
    Journal of optimization theory and applications 95 (1997), S. 717-722 
    Details
    ISSN: 1573-2878
    Keywords: Quasiconvex functions ; duality ; generalized conjugation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A function defined on a locally convex space is called evenly quasiconvex if its level sets are intersections of families of open half-spaces. Furthermore, if the closures of these open halfspaces do not contain the origin, then the function is called R-evenly quasiconvex. In this note, R-evenly quasiconvex functions are characterized as those evenly-quasiconvex functions that satisfy a certain simple relation with their lower semicontinuous hulls.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1022690326118
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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