首页 | 本学科首页   官方微博 | 高级检索  
相似文献
 共查询到10条相似文献,搜索用时 156 毫秒
1.
Given a nonempty set and two multifunctions , we consider the following generalized quasi-variational inequality problem associated with X, : Find such that . We prove several existence results in which the multifunction is not supposed to have any continuity property. Among others, we extend the results obtained in Ref. 1 for the case (x(X.  相似文献   

2.
Consider the minimization problem
in which is a normal integrand. Define the convex function by It is known that, if the essential domain H of G is open, then problem (P) has a minimizer for any pair of endpoints (u 0, u 1). In this paper, the same result is proved under the condition that, for every point p in H, the subgradient set G(p) is either bounded or empty (when H is open, this condition holds automatically).  相似文献   

3.
In this paper, we analyze a class of methods for minimizing a proper lower semicontinuous extended-valued convex function . Instead of the original objective function f, we employ a convex approximation f k + 1 at the kth iteration. Some global convergence rate estimates are obtained. We illustrate our approach by proposing (i) a new family of proximal point algorithms which possesses the global convergence rate estimate even it the iteration points are calculated approximately, where are the proximal parameters, and (ii) a variant proximal bundle method. Applications to stochastic programs are discussed.  相似文献   

4.
Let (X n:n) be i.i.d. with finite variance and values in a hypergroupK:=+ or and j=1 n X j be the randomized sum of these random variables. It is shown that the processes converge in distribution to a Gaussian process in the caseK=+, that the processes converge towards a Bessel process on + in the case of polynomial growth of the hypergroupK=+ or , and that in the case of exponential growth converges towards a Brownian motion asn.  相似文献   

5.
Classical theorems on differential inequalities [1, 2, 3] are generalized for initial value problems of the kind and where is a singular Volterra operator, is continuous and positive on ]a, b], is a norm in R n, and [u]+ and [u] are respectively the positive and the negative part of the vector u R n.  相似文献   

6.
Summary Total Least Squares (TLS) is an estimation method for the solutiona of the linear system when both data sets and are subject to error. The TLS-method minimizes the functional with weighting parameter . In this paper the TLS-functional is analyzed by the technique of Lagrangian multipliers. The main part of the work deals with the case when the estimatea is restricted by an inequality of the formD ab0, D a diagonal matrix. It is shown that there exists a unique estimatea if the weighting parameter is chosen sufficiently large.  相似文献   

7.
Summary By means of techniques and results concerning maps on surfaces [JS] and edge-coloured graphs representing PL-manifolds [FGG], we prove the existence of an infinite ball complexP(n), n > 1, such thatevery orientable PL-manifold of dimension n is a quotient of |P(n)| by the action of a finite index subgroup of a Fuchsian group with signature ,with h(2) = h(3) = 4 and h(n) = 2, for n > 3. The core of the proof is that all orientable PL-manifolds of dimensionn can be represented by edge-coloured graphs which are quotients of a universal graph, only depending onn.  相似文献   

8.
We will consider the problem of determining a linear, mean-square optimal estimate of the transformation of a stationary random sequence (k) with density f() from observations of the sequence (k) + n(k) withk0, where (k) is a stationary sequence not correlated with (k) with density g(). The least favorable spectral densities and minimax (robust) spectral characteristics of an optimal estimate A for different classes of densities are found.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 1, pp. 92–99, January, 1991.  相似文献   

9.
Let be a complex Lie algebra, its underlying real Lie algebra, a real form of and ·, · the euclidean product induced by the real part of an hermitian inner product on . Let aut be the Lie algebra of skew-symmetric derivations of . We give necessary and sufficient conditions to ensure that aut is composed of skew-hermitian derivations. As an application, we study holomorphy in large subgroups of isometries of Lie groups.  相似文献   

10.
This work examines the method of analytic centers of Sonnevend when applied to solve generalized convex quadratic programs — where also the constraints are given by convex quadratic functions. We establish the existence of a two-sided ellipsoidal approximation for the set of feasible points around its center and show, that a simple (zero order) algorithm starting from an initial center of the feasible set generates a sequence of strictly feasible points whose objective function values converge to the optimal value. Concerning the speed of convergence it is shown that an upper bound for the gap in between the objective function value and the optimal value is reduced by a factor of with iterations wherem is the number of inequality constraints. Here, each iteration involves the computation of one Newton step. The bound of Newton iterations to guarantee an error reduction by a factor of in the objective function is as good as the one currently given forlinear programs. However, the algorithm considered here is of theoretical interest only, full efficiency of the method can only be obtained when accelerating it by some (higher order) extrapolation scheme, see e.g. the work of Jarre, Sonnevend and Stoer.This work was supported by the Deutsche Forschungsgemeinschaft, Schwerpunktprogramm für anwendungsbezogene Optimierung und Steuerung.  相似文献   

设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号