正规实型对称空间上平方函数算子的弱1——1有界性

利用正规实型对称空间上热核的一个上界估计及非紧致Riemann对称空间上热核 的一个梯度估计,证明了正规实型对称空间上的Littlewood-Paley平方函数算子的弱1-1 有界性.     

A Note on Systems of Equations of Power Sums

Mathematical Notes - Symmetric functions play an important role in several subjects of mathematics, such as algebraic combinatorics, representation theory of finite groups and algebraic geometry....     

Towards explicit superlinear convergence rate for SR1

Mathematical Programming - We study the convergence rate of the famous Symmetric Rank-1 (SR1) algorithm, which has wide applications in different scenarios. Although it has been extensively...     

Symmetric solutions for symmetric games with large cores

International Journal of Game Theory - Symmetric solutions (symmetric stable sets) and their uniqueness are investigated for symmetric games when the cores are large enough to have intersections...     

Symmetric duality for a class of nondifferentiable multi-objective fractional variational problems

We introduce a symmetric dual pair for a class of nondifferentiable multi-objective fractional variational problems. Weak, strong, converse and self duality relations are established under certain invexity assumptions. The paper includes extensions of previous symmetric duality results for multi-objective fractional variational problems obtained by Kim, Lee and Schaible [D.S. Kim, W.J. Lee, S. Schaible, Symmetric duality for invex multiobjective fractional variational problems, J. Math. Anal. Appl. 289 (2004) 505-521] and symmetric duality results for the static case obtained by Yang, Wang and Deng [X.M. Yang, S.Y. Wang, X.T. Deng, Symmetric duality for a class of multiobjective fractional programming problems, J. Math. Anal. Appl. 274 (2002) 279-295] to the dynamic case.     

二元奇偶函数在对称区域上的积分公式及其证明

将一元奇偶函数及其在对称区间上的积分公式进行了推广,得到了二元奇偶函数在对称区域上的定义及其积分公式,并给出了积分公式的证明,以简化某些积分的计算.     

Symmetric solutions for symmetric,constant-sum,extreme games with four values

Symmetric, constant-sum, extreme games with four values were fully characterized inRosenmüller [1977]. Symmetric solutions (or symmetric stable sets) for these games are studied. As a result, it is shown that all such games have at least one symmetric solution.     

Projection methods for the numerical solution of non-self-adjoint elliptic partial differential equations

We compare the relative performances of two iterative schemes based on projection techniques for the solution of large sparse nonsymmetric systems of linear equations, encountered in the numerical solution of partial differential equations. The Block–Symmetric Successive Over-Relaxation (Block-SSOR) method and the Symmetric–Kaczmarz method are derived from the simplest of projection methods, that is, the Kaczmarz method. These methods are then accelerated using the conjugate gradient method, in order to improve their convergence. We study their behavior on various test problems and comment on the conditions under which one method would be better than the other. We show that while the conjugate-gradient-accelerated Block-SSOR method is more amenable to implementation on vector and parallel computers, the conjugate-gradient accelerated Symmetric–Kaczmarz method provides a viable alternative for use on a scalar machine.     

一类对称函数不等式的控制证明

本文利用控制不等式理论证明一类对称函数不等式     

Symmetric solutions for (n,n−2) games with small values ofv (n−2)

Symmetric solutions and their uniqueness are investigated for symmetric games in which onlyn?2 andn players enter into problem. As a result, we present two types of symmetric solutions for the case of smallv (n?2), and a unique one for much smallerv (n-2).     

Computation of Galois groups over function fields

Symmetric function theory provides a basis for computing Galois groups which is largely independent of the coefficient ring. An exact algorithm has been implemented over in Maple for degree up to 8. A table of polynomials realizing each transitive permutation group of degree 8 as a Galois group over the rationals is included.

     

Symmetric duality for minimax mixed integer programming problems with pseudo-invexity

In this paper, we consider the pair of symmetric dual multiobjective variational mixed integer programs proposed by Chen and Yang [X. Chen, J. Yang, Symmetric duality for minimax multiobjective variational mixed integer programming problems with partial-invexity, European Journal of Operational Research 181 (2007) 76-85.] and extend some of their results under the assumptions of partial-pseudo-invexity and separability on the functions involved. These results include several results available in literature as special cases.     

On the symmetric vector quasi-equilibrium problems

In this paper we, using a particular technique, consider the symmetric vector quasi-equilibrium problems in the Hausdorff topological vector space. As applications of our existence theorem, a coincidence point theorem and the existence of vector optimization problem for a pair of vector-valued mappings are obtained. Moreover, we answer an open question raised by Fu in [J.Y. Fu, Symmetric vector quasi-equilibrium problems, J. Math. Anal. Appl. 285 (2003) 708-713].     

The Generalized Accelerated Symmetric Overrelaxation Method

The Generalized Accelerated Symmetric Overrelaxation Method is introduced and the basic convergence analysis of this iterative process is developed for certain cases.     

An algorithm for the rota straightening formula

The algorithm here constructed for the Rota straightening formula is a combination of sorting techniques and of algebraic methods closely related to the Rutherford-Young Natural representation of the Symmetric group.     

Symmetric dual quadratic program in complex space

Symmetric dual quadratic program in complex space is presented and some duality theorems are proved. Self-dual linear and quadratic programs in complex space are formed and self-duality theorem is extended to these cases.     

Dual symmetric statistical manifolds

Symmetric statistical manifolds with connections of various types are considered. __________ Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 38, Suzdal Conference-2004, Part 3, 2006.     

Infinitely many solutions for non-autonomous second-order systems with impulsive effects

In this paper, we establish the existence of infinitely many solutions for a class of non-autonomous second-order systems with impulsive effects. Our technique is based on the Fountain Theorem of Bartsch and the Symmetric Mountain Pass Lemma due to Kajikiya.     

Schur Convexity for Two Classes of Symmetric Functions and Their Applications

For x =(x1, x2, ···, xn) ∈ Rn+∪ Rn-, the symmetric functions Fn(x, r) and Gn(x, r) are defined by r1 + xFij n(x, r) = Fn(x1, x2, ···, xn; r) =x1≤iij1i2···ir ≤n j=1and r1- xGij n(x, r) = Gn(x1, x2, ···, xn; r) =,x1≤i1i2···ir ≤n j=1ij respectively, where r = 1, 2, ···, n, and i1, i2, ···, in are positive integers. In this paper,the Schur convexity of Fn(x, r) and Gn(x, r) are discussed. As applications, by a bijective transformation of independent variable for a Schur convex function, the authors obtain Schur convexity for some other symmetric functions, which subsumes the main results in recent literature; and by use of the theory of majorization establish some inequalities. In particular, the authors derive from the results of this paper the Weierstrass inequalities and the Ky Fan's inequality, and give a generalization of Safta's conjecture in the n-dimensional space and others.