由谱数据构造一类伪Jacobi矩阵

• 作者: 孟纯军 李晗
• 来源期刊: 高等学校计算数学学报
• 学科: 数学
• 年，卷（期）: 2017,（3）
• 页码范围: 193-199
• 页数: 7页
• 分类号: O241.6
• 语种: 中文

摘要

In this paper we consider a class of inverse eigenvalue problem for pseudo-Jacobi matrices which concerns the reconstruction of a class of pseudoJacobi matrices with certain patterns that the signs of symmetric position element are opposite according to some given spectrum and the eigenvalues of the n-1 order leading principal sub-matrix.Firstly we investigate the property of eigenvalues for this pseudo-Jacobi matrices.Then we present the necessary and sufficient conditions under which the problem is solvable.The representations of the general and unique solution are also discussed.Finally we provide an algorithm to calculate the solution of the problem when the solution is unique.Furthermore we give a numerical example to illustrate that the algorithm is feasible.

作者信息

序号	姓名	单位	发文数	被引次数	H指数	G指数
1	李晗		13	73	6.0	8.0
2	孟纯军		16	91	5.0	9.0