Author(s)

Ran Su, Yingjie Lei, Fanhua Li

School of mathematics, North University of China, Taiyuan, China.

In this paper, we explore the inverse spectral problem for a kind of pseudo-symmetric matrix A(ε,c,s) that corresponds to a graph of a banana tree when all ε=1. The problem of reconstructing pseudo-symmetric matrices from their spectra was considered. The sufficient and necessary conditions for the existence of these matrices are provided, and an algorithm and numerical example were provided to illustrate their characteristics. In addition, the effectiveness of the solution was validated using MatlabR2021b.

Inverse Spectral Problem, Pseudo-Symmetric, A Banana Tree, Spectral Data

Su, R., Lei, Y.J. and Li, F.H. (2023) An Inverse Eigenproblems for Pseudo-Symmetric Matrices. Open Access Library Journal, 10, 1-12. doi: 10.4236/oalib.1111067.