In the past few years, much and much attention has been paid to the method for solving non-convex programming. Many convergence results are obtained for bounded sets. In this paper, we get global convergence results f...In the past few years, much and much attention has been paid to the method for solving non-convex programming. Many convergence results are obtained for bounded sets. In this paper, we get global convergence results for non-convex programming in unbounded sets under suitable conditions.展开更多
在计算付伦涅尔积分的过程中,我发觉一些分析教科书上现成的积分次序交换定理都不能引用,因此我建立一个新的积分次序交换定理。 在分析教科书上找到的定理是: 定理A 设二元函数f(x,y)满足条件:(1)在区域上连续; (2)integral from a to ...在计算付伦涅尔积分的过程中,我发觉一些分析教科书上现成的积分次序交换定理都不能引用,因此我建立一个新的积分次序交换定理。 在分析教科书上找到的定理是: 定理A 设二元函数f(x,y)满足条件:(1)在区域上连续; (2)integral from a to +∞(f(x,y)dx)关于y∈[α,β]一致收敛,integral from a to +∞(f(x,y)dy)关于x∈[a,b]一致收敛,β,b是任意给定的数:β>α,b>a;(3)integral from a to +∞(dx) integral from α to +∞(|f(x,y)|dy),integral from α to +∞(dy) integral from a to +∞(|f(x,y)dx)至少有一个存在(有限)。展开更多
In this paper,an unbounded condition is presented,under which we are able to utilize the interior point homotopy method to solve the Brouwer fixed point problem on unbounded sets.Two numerical examples in R3 are prese...In this paper,an unbounded condition is presented,under which we are able to utilize the interior point homotopy method to solve the Brouwer fixed point problem on unbounded sets.Two numerical examples in R3 are presented to illustrate the results in this paper.展开更多
The finite-dimensional variational inequality problem (VIP) has been studied extensively in the literature because of its successful applications in many fields such as economics, transportation, regional science and ...The finite-dimensional variational inequality problem (VIP) has been studied extensively in the literature because of its successful applications in many fields such as economics, transportation, regional science and operations research. Barker and Pang[1] have given an excellent survey of theories, methods and applications of VIPs.展开更多
基金The NNSF (10071031) of China China Postdoctoral Science Foundation.
文摘In the past few years, much and much attention has been paid to the method for solving non-convex programming. Many convergence results are obtained for bounded sets. In this paper, we get global convergence results for non-convex programming in unbounded sets under suitable conditions.
文摘在计算付伦涅尔积分的过程中,我发觉一些分析教科书上现成的积分次序交换定理都不能引用,因此我建立一个新的积分次序交换定理。 在分析教科书上找到的定理是: 定理A 设二元函数f(x,y)满足条件:(1)在区域上连续; (2)integral from a to +∞(f(x,y)dx)关于y∈[α,β]一致收敛,integral from a to +∞(f(x,y)dy)关于x∈[a,b]一致收敛,β,b是任意给定的数:β>α,b>a;(3)integral from a to +∞(dx) integral from α to +∞(|f(x,y)|dy),integral from α to +∞(dy) integral from a to +∞(|f(x,y)dx)至少有一个存在(有限)。
文摘In this paper,an unbounded condition is presented,under which we are able to utilize the interior point homotopy method to solve the Brouwer fixed point problem on unbounded sets.Two numerical examples in R3 are presented to illustrate the results in this paper.
基金The NNSF (10071031) of China and National 973 Project.
文摘The finite-dimensional variational inequality problem (VIP) has been studied extensively in the literature because of its successful applications in many fields such as economics, transportation, regional science and operations research. Barker and Pang[1] have given an excellent survey of theories, methods and applications of VIPs.
