求解多面体上的线性变分不等式

已给矩阵Ｍ∈Ｒｎ×ｎ，向量ｑ∈Ｒｎ，凸多面体Ｚ＝｛ｘ∈Ｒｎ｜Ａｘ≤ｂ，Ｂｘ＝ｄ｝，其中Ａ∈Ｒｍ×ｎ，Ｂ∈Ｒｐ×ｎ，变分不等式问题ＡＶＩＰ（Ｍ，Ｂ，Ａ，ｑ，ｄ，ｂ）是求ｘ＊∈Ｚ使得对一切ｘ∈Ｚ，不等式（ｘ－ｘ＊）Ｔ（Ｍｘ＋ｑ）≥０成立，本文给出了这一问题的等价形式。

ON A QUADRATURE FORMULA WITH FIRST DERIVATIVE AND ITS DEGREE OF ACCURACY

This paper develops a clase of quadrature formula with first derivativesIt is demonstrated that its degree of accuracy is not less than 2k+1 for a set of distinct nodes {x0,x1,...,xn} over interval [a,b],and just only 2k+1 for equally spaced nodes.Far overcoming the shortcoming of involving a great number of manual computations for the integration rules of the Hermitian interpolation formula,some simple formulas for computing automatically βi,γi and E [f] by computer are given,especially for equally spaced nodes.

MOORE-PENROSE INVERSE SIMPLEX ALGORITHMS BASED ON SUCCESSIVE LINEAR SUBPROGRAMMING APPROACH

Generalized simplex variants based on successive linear subprogramming approach (SLS) are described in this paper. In stead of inverse matrix, these variants employ Moore-Penrose inverse. They are respectively characterized by different pivoting rules, Numerical results of limited tests show encouraging performance of these variants.

供应链中信任关系的建立和发展

在现代供应链管理中,为了使整条供应链达到最优以获得更大的利益,必须对供应链进行整合,也即是需要多方之间的合作,而合作关系的建立和发展是以信任关系为基础的。很多著作都论述了这方面的内容,但鲜有著作论述信任关系的构筑问题。本文将依国外学者的研究成果给出信任的定义,并就企业如何和供应链中的伙伴建主和发展信任关系提出一些见解。

矩阵计算逆的精度估计(英文)

在许多问题中,需要计算非奇异矩阵的逆矩阵。然而算得的逆矩阵相对于精确的逆矩阵来说,究竟有几位有效数字,往往是不得而知的。本文给出的定理1和定理2,能在算得的逆矩阵与原矩阵之间满足了一个要求不算高的关系式之后,准确地判断出算得的逆矩阵有几位有效数字。