%0 Journal Article %A A. M. Nazari and B. Sepehrian and M. Jabari %D 2010 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 45, 2010 %T The Inverse Eigenvalue Problem via Orthogonal Matrices %U https://publications.waset.org/pdf/14588 %V 45 %X 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. %P 1241 - 1246