An inverse eigenvalue problem for pseudo-Jacobi matrices

作者：Xu, Wei-Ru; Bebiano, Natalia^*; Chen, Guo-Liang

来源：Applied Mathematics and Computation, 2019, 346: 423-435.

DOI：10.1016/j.amc.2018.10.051

• Inverse eigenvalue problem
• Jacobi matrix
• Pseudo-Jacobi matrix
• Tridiagonal matrix

In this paper, the theory on direct and inverse spectral problems for Jacobi matrices is revisited in a kind of pseudo-Jacobi matrices J(n, r, beta) with a mixed path as its graph in the non-self-adjoint setting. In this context, a sign change in one of the nondiagonal entries of the matrix yields strong perturbations in its spectral properties. The reconstruction of a pseudo-Jacobi matrix from its spectrum and the spectra of two complementary principal Keywords: matrices is investigated. An algorithm for the reconstruction of matrices from prescribed Inverse problem spectral data is provided and illustrative numerical experiments are performed.

• 出版日期2019-4-1
• 单位华东师范大学