三对角对称矩阵逆特征问题存在唯一解的条件  

The Conditions of Existing a Unique Solution for Inverse Eigenproblems of Tridiagonal Symmetric Matrices

作　　者：廖安平[1] 张磊 胡锡炎[3] 

机构地区：[1]湖南师范大学 [2]湖南计算中心 [3]湖南大学

出　　处：《数值计算与计算机应用》2000年第2期102-111,共10页Journal on Numerical Methods and Computer Applications

基　　金：国家自然科学基金!19871024;19871027

摘　　要：In this paper, four inverse eigenproblems with given three eigenvalues and cor-responding eigenvectors are considered, some necessary and sufficient conditionsunder which there exists a unique solution for these problems are given. Further-more some numerical algorithms and some numerical experiments are given.In this paper, four inverse eigenproblems with given three eigenvalues and cor-responding eigenvectors are considered, some necessary and sufficient conditionsunder which there exists a unique solution for these problems are given. Further-more some numerical algorithms and some numerical experiments are given.

关 键 词：三对角对称矩阵 逆特征问题 唯一解 

分 类 号：O241.6[理学—计算数学]