In this paper, two new sandwich algorithms for the convex curve approximation are introduced. The proofs of the linear convergence property of the first method and the quadratic convergence property of the second meth...In this paper, two new sandwich algorithms for the convex curve approximation are introduced. The proofs of the linear convergence property of the first method and the quadratic convergence property of the second method are given. The methods are applied to approximate the efficient frontier of the stochastic minimum cost flow problem with the moment bicriterion. Two numerical examples including the comparison of the proposed algorithms with two other literature derivative free methods are given.展开更多
“数学史国际前沿问题高级研讨班”邀请国际数学史界两个重要刊物Historia Mathematica(《国际数学史杂志》)和Revued' Histoire des Mathdmatiques(《法国数学史》)的主编来到中国,与国内活跃在各高校的数学史工作者开展研讨,...“数学史国际前沿问题高级研讨班”邀请国际数学史界两个重要刊物Historia Mathematica(《国际数学史杂志》)和Revued' Histoire des Mathdmatiques(《法国数学史》)的主编来到中国,与国内活跃在各高校的数学史工作者开展研讨,使国内学者了解数学史研究前沿,通过具体的案例,分析怎样选题,怎样选择研究方法,怎样从数学史的角度提问题,如何查找原始文献和二手文献.并筛选出一些有学术价值的具体选题,可供作为今后的研究方向.展开更多
文摘In this paper, two new sandwich algorithms for the convex curve approximation are introduced. The proofs of the linear convergence property of the first method and the quadratic convergence property of the second method are given. The methods are applied to approximate the efficient frontier of the stochastic minimum cost flow problem with the moment bicriterion. Two numerical examples including the comparison of the proposed algorithms with two other literature derivative free methods are given.
基金余潇枫教授主持的国家社科基金重大攻关项目<中非传统安全威胁识别评估及应对>(12&ZD099)第四子课题<中国边疆"双源性"非传统安全威胁识别+2 种基金评估及应对>兰州大学中央高校基本科研业务费创新团队项目<中国文化戍边战略研究>(13LZUJBWTD006Supported by the Fundamental Research Funds for the Cen-tral Universities)的系列成果
文摘“数学史国际前沿问题高级研讨班”邀请国际数学史界两个重要刊物Historia Mathematica(《国际数学史杂志》)和Revued' Histoire des Mathdmatiques(《法国数学史》)的主编来到中国,与国内活跃在各高校的数学史工作者开展研讨,使国内学者了解数学史研究前沿,通过具体的案例,分析怎样选题,怎样选择研究方法,怎样从数学史的角度提问题,如何查找原始文献和二手文献.并筛选出一些有学术价值的具体选题,可供作为今后的研究方向.