Mathematical Sciences: Matrix and Combinatorial Theory

这个项目是关于矩阵和组合 理论其中一名调查员将调查 组合矩阵理论他将研究多面体 双随机矩阵的初等确定 经典不变矩阵和矩阵的因子 行列式和积项的因式分解。另 研究人员关心矩阵理论。他将致力于 非负矩阵，相关M-矩阵类，标度 和矩阵的惯性理论。 矩阵是一个矩形数组，其中可能有以下元素： 各种各样的戒指。这个领域起源于 在世纪作为代数的一部分。目前， 鉴于其众多的应用和联系， 数学的其他部分和其他科学， 技术学科。

This project is concerned with matrix and combinatorial theory. One of the investigators will examine problems in combinatorial matrix theory. He will investigate the polytope of doubly stochastic matrices, determination of the elementary divisors of the classical invariant matrices and matrix factorizations of determinants and permanents. The other investigator is concerned with matrix theory. He will work on non-negative matrices, the related class of M-matrices, scaling of matrices and inertia theory of matrices. A matrix is a rectangular array with possible entries from a wide variety of rings. This is a field which originated in the ninetheenth century as a part of algebra. It is curently very active in view of its many applications and connections with other parts of mathematics and other scientific and technical disciplines.