The Inverse Eigenvalue Problem via Orthogonal Matrices

Main Authors: A. M. Nazari, B. Sepehrian, M. Jabari
Format: Article
Bahasa: eng
Terbitan: , 2010
Subjects:
Online Access: https://zenodo.org/record/1083257
Daftar Isi:
  • In this paper we study the inverse eigenvalue problem for symmetric special matrices and introduce sufficient conditions for obtaining nonnegative matrices. We get the HROU algorithm from [1] and introduce some extension of this algorithm. If we have some eigenvectors and associated eigenvalues of a matrix, then by this extension we can find the symmetric matrix that its eigenvalue and eigenvectors are given. At last we study the special cases and get some remarkable results.