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  • Duality Theorems for Separable Convex Programming without Qualifications

    Suzuki Satoshi , Kuroiwa Daishi

    … However, separable convex constraints do not always satisfy the constraint qualification, that is, Lagrange duality does not always hold for separable convex programming. … We show that a separable convex inequality system always satisfies the closed cone constraint qualification for quasiconvex programming and investigate a Lagrange-type duality theorem for separable convex programming. …

    Journal of optimization theory and applications 172(2), 669-683, 2017-02

    IR 

  • On Set Containment Characterization and Constraint Qualification for Quasiconvex Programming

    Suzuki Satoshi , Kuroiwa Daishi

    … Dual characterizations of the containment of a convex set with qua-siconvex inequality constraints are investigated. …

    Journal of Optimization Theory and Applications 149(3), 554-563, 2011-06

    IR 

  • Set containment characterization with strict and weak quasiconvex inequalities

    Suzuki Satoshi

    … Dual characterizations of the containment of a convex set, de-ned by infinite quasiconvex constraints, in an evenly convex set, and in a reverse convex set, defined by infinite quasiconvex constraints, are provided. … Notions of quasiconjugate for quasiconvex functions, λ-quasiconjugate and λ- semiconjugate, play important roles to derive the characterizations of the set containments. …

    Journal of Global Optimization 47(2), 273-285, 2010-06

    IR 

  • APPROXIMATION ALGORITHM FOR ROBUSTNESS FUNCTIONS OF TRUSSES WITH UNCERTAIN STIFFNESS UNDER UNCERTAIN FORCES  [in Japanese]

    KANNO Yoshihiro , TAKEWAKI Izuru

    … An approximation algorithm is presented for finding the lower bounds of robustness functions of linear elastic trusses associated with stress constraints. … By using the semidefinite programming relaxation, we formulate the quasiconvex programming problem which provides the lower bounds of the robustness functions. …

    Journal of Structural and Construction Engineering (Transactions of AIJ) 70(591), 53-60, 2005

    J-STAGE  AIJ  References (29)

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