Further, we use the immobile indices to construct a pair of regularized dual copositive problems and show that regardless of whether the Slater condition is satisfied or not, the duality gap between the optimal values of these problems is zero. An example of a problem is presented for which ...
Furthermore, it follows from our study that this optimality condition is always necessary for a wide class of semi-infinite linear programming problemsdoi:10.1080/02331939208843842Leon, T.Vercher, E.Akademic-VerlagOptimizationLeon, T. , and Vercher, E. , An Optimality Test for Semi-Infinite ...
This paper is devoted to the study of a class of two-stage adjustable robust quadratic optimization problems with affine decision rules, where both the objective and constraint functions involve spectrahedral uncertain data. By using a new robust constraint qualification condition, necessary and ...
Our basic idea is to prove the solution obtained by the recursively greedy search algorithm fits the generalized KKT condition of the convex objective function (Eq. (7)) and are thus A revisit to the counterexample To verify the above theoretical analysis, let us revisit the counterexample prop...
(IMA J Numer Anal 37:1902–1929, 2017), with a sequential optimality condition for nonlinear programming, that uses the second-order information of the problem. More recently, Fukuda et al. (Set-Valued Var Anal 31:15, 2023) analyzed the conditions that use second-order information, in ...
17.OPTIMALITY CONDITIONS OF VECTOR EXTREMUM PROBLEM IN LINEAR SPACES;线性空间中向量极值问题的最优性条件 18.Geometric Characteristics and Optimality Conditions of Quadratic Bilevel Programming Models;二次双级规划的几何特性与最优性条件 相关短句/例句 optimality condition最优性条件 1.Optimality Condition and...
Necessary condition: Consider a function f(x) of single variable defined for a < x < b. To find a point of x∗∈(a, b) that minimizes f(x), the first derivative of function f(x) with respect to x at x = x∗ must be a stationary point; that is, f′(x∗) = 0. Suff...
2) optimality condition 最优化条件 1. Under the assumption of the nonempty and bounded constrained set,we discussed some geometric properties of the feasible set,and obtained twooptimality conditions by some basic properties of the linear programming s duality theory. ...
We study linear-quadratic bilevel programming. Several necessary and/or sufficient optimality conditions for a linear-quadratic bilevel program are derived based on the Kuhn-Tucker condition and the duality theory. It is proved that the original linear-quadratic bilevel program can be solved by ...
Gauvin, J.: ‘A necessary and sufficient regularity condition to have bounded multipliers in nonconvex programming’, Math. Program. 12 (1977), 136–138. CrossRef Guddat, J., Guerra, F., and Jongen, H. Th.: Parametric optimization: Singularities, pathfollowing and jumps, Wiley, 1990. ...