由两个特征对构造完全对称正定Jacobi矩阵  

On the Construction of Per-symmetric Positive Definite Jacobi Matrix from Two Eigenpairs

作　　者：司书红[1] 吴彦良[1] 韩斌[1] 钱爱林[1] 洪专[1] 

机构地区：[1]兰州大学数学系,甘肃兰州730000

出　　处：《兰州工业高等专科学校学报》2004年第1期7-10,共4页Journal of Lanzhou Higher Polytechnical College

摘　　要：周树荃等人提出由两个特征对构造一完全对称Jacobi矩阵;廖安平等人提出由两个特征对构造一正定Jacobi矩阵.今提出由两个特征对构造一完全对称正定Jacobi矩阵这一问题,并给出有唯一解的充分条件与数值算例.Per-symmetric Jacobi matrix formed by two eigenpairs was introduced by Zhou Shu-quan and others,and positive definite produced by the same conditions was put forward by Liao An-ping and others.In this paper,we derive a per-symmetric positive definite Jacobi matrix and give sufficient conditions of unique solution as well as its numerical algorithm.

关 键 词：特征对 完全对称正定矩阵 JACOBI矩阵 逆特征值 

分 类 号：O151.21[理学—数学]