一类特殊矩阵的极值特征值反问题  

Extremal Inverse Eigenvalue Problem for a Kind of Special Matrices

作　　者：易福侠[1] 王金林[2] 

机构地区：[1]江西交通职业技术学院基础课部,江西南昌330013 [2]南昌航空大学数学与信息科学学院,江西南昌330063

出　　处：《数学的实践与认识》2018年第5期180-188,共9页Mathematics in Practice and Theory

基　　金：国家自然科学基金(AA201207156);江西省教育厅科技重点项目(GJJ151425)

摘　　要：针对矩阵特征值反问题，如何构造矩阵显得尤为重要，鉴于此，引入一种新的带比例关系矩阵．结果表明，只需利用其顺序主子阵的最小和最大特征值即可反构原矩阵，同时亦总结了矩阵元素与顺序主子阵特征值的关系．Aim at the inverse eigenvalue problem of matrix, how to construct matrix is par- ticularly important,in view of this, a new proportional matrix is introduced.The results show that the matrix can be constructed only by using extremal eigenvalues of its leading pricipal submatrices, simultaneously, the relationships between elementary of matrix and eigenvalues of its leading pricipal submatrices are obtained.

关 键 词：带比例矩阵 极值特征值 反问题 顺序主子阵 

分 类 号：O151.21[理学—数学]