由主子阵和特殊次序缺损特征对构造Jacobi矩阵

In this paper,an inverse eigenvalue problem of constructing a Jacobian matrix from its prescribed specially ordered defective eigenpairs and a principal subma-trix is considered.The necessary and sufficient conditions for the existence and uniqueness of the solution are derived.Two numerical algorithms and two numer-ical examples are given.     

谱约束下实中心对称矩阵的最佳逼近

本讨论了在谱约束条件下中心对称矩阵、反中心对称矩阵和双对称矩阵的一般化逆特征值问题。