完全不可分矩阵Ray模式行列式值域的凸性  

Convexity of the Ray determinantal regions of fully indecomposable complex square matrices

作　　者：刘月[1] 林秀娇[1] 

机构地区：[1]福州大学数学与计算机科学学院,福建福州350108

出　　处：《福州大学学报（自然科学版）》2012年第5期563-566,608,共5页Journal of Fuzhou University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11101088)

摘　　要：讨论完全不可分矩阵Ray模式行列式值域的凸性,以一类具有一般性的例子说明其不一定是凸的.给出此类完全不可分矩阵Ray模式行列式值域,并进一步说明其不一定等于矩阵行列式展开基生成锥的相对内点集.同时说明角度大于π小于2π的开扇均可能成为某一完全不可分矩阵的Ray模式行列式值域.The convexity of the Ray determinantal regions of fully indecomposable complex square ma trices is studied. It is shown by general examples that the Ray determinantal regions of fully indecom posable matrices may not always be convex. The Ray determinantal regions of the examples are given, and it is shown that the Ray determinantal regions do not equal the relative interior set of the cone gen erated by the expansion bases of the matrices. At the same time, it illustrates that open sectors with angles more than π but less than 2π are possible Ray determinantal regions of fully indeeomposable complex square matrices.

关 键 词：完全不可分矩阵 凸性 Ray模式 锥 行列式值域 

分 类 号：O157.5[理学—数学] O151.2[理学—基础数学]