摘要
文章研究了如下的特征值反问题:给定实对称矩阵A,求实向量u和实数p,使矩阵A+puu^T具有预先指定的特征值{λ_i}_l^n。计论了解的存在性与唯一性,并给出了数值算法。
This paper deals with the following inverse eigenvalue problem: Given a real symmetric matrix A, find a vector u
and a real number p, so that matrix A + puu T has prescribed eigenvalues The existence and uniqueness of the solution are discussed and the algorithm and some numerical examples given.
关键词
实对称矩阵
秩
特征值
存在性
唯一性
numerical algebra
symmetric matrix
characteristic value
inverse problem
