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Monfared, K.H. and Shader, B.L. (2013) Construction of Matrices with a Given Graph and Prescribed Interlaced Spectral Data. Linear Algebra and its Applications, 438, 4348-4358. https://doi.org/10.1016/j.laa.2013.01.036

has been cited by the following article:

• TITLE: An Inverse Eigenproblems for Pseudo-Symmetric Matrices

  AUTHORS: Ran Su, Yingjie Lei, Fanhua Li

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

  JOURNAL NAME: Open Access Library Journal, Vol.10 No.12, December 28, 2023

  ABSTRACT: 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.