Hubert Pickmann

TL;DR: The results are constructive, in the sense that they generate an algorithmic procedure to construct the matrix from the minimal and maximal eigenvalues of all its leading principal submatrices.

TL;DR: Peng et al. as mentioned in this paper considered the problem of constructing a real symmetric tridiagonal matrix from a special kind of spectral information: one eigenvalue of the j×j leading principal submatrix Aj of A, j = 1,2,...,n; and one Eigenpair (n),x) of A. They gave a necessary and sufficient condition in the first case, and a sufficient condition n in the second one.

TL;DR: A new numerical procedure is presented to reconstruct a fixed-free spring-mass system from two auxiliary spectra, which are nondisjoint, which is less computationally expensive than others in the literature.

TL;DR: In this paper, the authors considered the inverse eigenvalue problem of constructing a symmetric tridiagonal matrix from the minimal and maximal eigenvalues of all its leading principal submatrices.