@article{(Open Science Index):https://publications.waset.org/pdf/14588, title = {The Inverse Eigenvalue Problem via Orthogonal Matrices}, author = {A. M. Nazari and B. Sepehrian and M. Jabari}, country = {}, institution = {}, abstract = {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. }, journal = {International Journal of Mathematical and Computational Sciences}, volume = {4}, number = {9}, year = {2010}, pages = {1241 - 1246}, ee = {https://publications.waset.org/pdf/14588}, url = {https://publications.waset.org/vol/45}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 45, 2010}, }