共查询到20条相似文献,搜索用时 0 毫秒
1.
Abdelmalek Aboussoror Samir Adly 《Journal of Optimization Theory and Applications》2011,149(2):254-268
In this paper, for a bilevel programming problem (S) with an extremal-value function, we first give its Fenchel–Lagrange dual problem. Under appropriate assumptions, we show that a strong duality holds between them. Then, we provide optimality conditions for (S) and its dual. Finally, we show that the resolution of the dual problem is equivalent to the resolution of a one-level convex minimization problem. 相似文献
2.
In this paper we provide a complete characterization for when the Rees algebra and the associated graded ring of a perfect Gorenstein ideal of grade three are Cohen–Macaulay. We also treat the case of second analytic deviation one ideals satisfying some mild assumptions. In another set of results we give criteria for an ideal to be of linear type. Finally, we describe the equations defining the Rees algebras of certain Northcott ideals. 相似文献
3.
In[1],Ma shaoqin gave the necessary and sufficient condition for the uniformlycontinuous and continuous of duality mappings.In the note,We give very simplecriteria for the uniformly continuous and continuous of duality mappings.And by[1],the necessary and sufficient conditions for the norm of a real Banach Space to beuniformly Frechet differentiable and Frechet differentiable are described. 相似文献
4.
NecessaryandSufficientConditionsfortheStrongConsistencyofMnltipleRegressionCoefficientsUnderaRestrictiveConditionJinMingzhong... 相似文献
5.
Journal of Optimization Theory and Applications - In this paper, we study a general minimization vector problem which is expressed in terms of a perturbation mapping defined on a product of locally... 相似文献
6.
Necessary and Sufficient Convergence Conditions for Algebraic Image Reconstruction Algorithms 总被引:4,自引:0,他引:4
Many imaging systems can be modeled by the following linear system of equations Ax = b, (1) where the observed data is b = (b^1…b^M)^T∈K^M and the image is x = (x1…xN)^T∈K^N. 相似文献
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AER-x.,Aiscalledanonnegative(nonPositive)matrixifau>O(a,jO(aiirtO),markedA>O(AO(i#j),auO,wecallp(A)=max{IA,l,lA,l'.-.,lAnl},(whereA,,A2,..',A"areeigenva1ueofA)asspectralradiusofA.LemmalIfAe7'.,thenareanonnegativesquarematrxBandapositivenumberksuchthatA=B-kI(whereIistheidentitymatrixofordern).ProofLetbti=… 相似文献
9.
Anton STEFANESCU 《数学学报(英文版)》2007,23(4):677-684
The paper produces new versions of the minimax theorem based on original conditions. Moreover, we investigate not only the sufficiency, but also the necessity of such conditions. The proofs are very simple and preclude any topological technique. 相似文献
10.
We consider a class of regular–singular stochastic differential games arising in the optimal investment and dividend problem of an insurer under model uncertainty. The information available to the two players is asymmetric partial information and the control variable of each player consists of two components: regular control and singular control. We establish the necessary and sufficient optimality conditions for the saddle point of the zero-sum game. Then, as an application, these conditions are applied to an optimal investment and dividend problem of an insurer under model uncertainty. Furthermore, we generalize our results to the nonzero-sum regular–singular game with asymmetric information, and then the Nash equilibrium point is characterized. 相似文献
11.
Many imaging systems can be modeled by the following linear system of equations Ax=b,(1) where the observed data is b=(b~1...b~M)~T∈K~M and the image is x=(x_1…x_N)~T∈K~N.The number field K can be the reals R or the complexes C.The system matrix A=(A_(i,j)) is nonzero and of the dimension M×N matrix.The image reconstruction problem is to reconstruct the 相似文献
12.
The question of necessary and sufficient conditions for the existence of a classical solution of inhomogeneous Cauchy–Riemann systems in a domain bounded by a piecewise smooth contour is studied. It is proved that the condition of the uniform stronger continuity of that inhomogeneity is a necessary condition, but it is also a sufficient condition if the inhomogeneity belongs to the L1 space. 相似文献
13.
Necessary and Sufficient Conditions for Oscillations of Neutral Delay Equations with Several Positive and Negative Coefficients 总被引:1,自引:0,他引:1
In thisPositive and (l)PaPer,we eonsider thenegative eoeffieients ofoseillations of neutral delay equations with、o山 the form·习k-1十玄。,·(卜r。卜全·,·(卜。,))十 XZ夕.、、d一dtJ.。、x(‘一u、)一名h:x(‘一。:)=o,where the eoeffieients and the delays areequation of(1)15non一negative constants.The Charaeteri“tieN(2)F(几):=‘+‘习。‘e一“·卜‘习r,e一‘’,+习。、e一“”一习h:e一‘’一0. ‘二lj一1论一15,1 our main result 19 the following theorem. Theorem All solutions of(l)oseillate if … 相似文献
14.
NecessaryandSufficientConditionforGeneralizedDiagonalDominanceMatricesYangYimin(杨益民)(AnhuiMechanicalandElectronicCollege,Wuhu... 相似文献
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In this paper,we give a sufficient and neccesary condition under which a solvable Lie algebra is complete. 相似文献
16.
We consider a smooth multiobjective optimization problem with inequality constraints. Weak Kuhn?CTucker (WKT) optimality conditions are said to hold for such problems when not all the multipliers of the objective functions are zero, while strong Kuhn?CTucker (SKT) conditions are said to hold when all the multipliers of the objective functions are positive. We introduce a new regularity condition under which (WKT) hold. Moreover, we prove that for another new regularity condition (SKT) hold at every Geoffrion-properly efficient point. We show with an example that the assumption on proper efficiency cannot be relaxed. Finally, we prove that Geoffrion-proper efficiency is not needed when the constraint set is polyhedral and the objective functions are linear. 相似文献
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18.
Ahmed Ainouche 《Graphs and Combinatorics》2009,25(2):129-137
Let G = (V, E) be a any simple, undirected graph on n ≥ 3 vertices with the degree sequence . We consider the class of graphs satisfying the condition where , is a positive integer. It is known that is hamiltonian if θ ≤ δ. In this paper,
相似文献
(i) | we give a necessary and sufficient condition, easy to check, ensuring that is nonhamiltonian and we characterize all the exceptional sub-classes. |
(ii) | we prove that is either bipartite or contains cycles of all lengths from 3 to c(G), the length of a longest cycle in G. |
19.
Lu Changyu 《东北数学》1994,(3)
ANecessaryandSufficientConditionforAdmissibilityofNonnegativeQuadraticEstimatorLuChangyu(鹿长余)(DepartmentofMathematics,Northea... 相似文献
20.
Let(X,)be a measurable space,and,=σ-field generated by {x|x∈X},where x={A∈ |x∈A}.(Y,)another measurable space,let ρ(X, Y,)={∈ |§ be measurable}.∈ρ(X,Y,),we define ()(y)=~(-1)(y),y∈y. Defination 1.T is an index set,f:{0,1}~T→{0,1},then,O~T:( (Y)~x)~T→ (Y)~x is called the operation derived from f if for any { }_(t∈T)∈((Y)~x)~Tand any(x,y)∈X×Y,it holds 相似文献