Reconstructing Jacobi Matrices from Three Spectra
谱理论
2015-09-29 v1
摘要
Cut a Jacobi matrix into two pieces by removing the n-th column and n-th row. We give neccessary and sufficient conditions for the spectra of the original matrix plus the spectra of the two submatrices to uniqely determine the original matrix. Our result contains Hostadt's original result as a special case.
引用
@article{arxiv.math/0211051,
title = {Reconstructing Jacobi Matrices from Three Spectra},
author = {J. Michor and G. Teschl},
journal= {arXiv preprint arXiv:math/0211051},
year = {2015}
}