The Inverse Eigenvalue Problem via Orthogonal Matrices
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  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.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1335124Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1242
 JONATHAN AXTELL, LIXING HAN, DANIEL HERSHKOWITZ, MICHAEL NEUMANN, NUNG-SING SZE , Optimition of the spectral radius of a product for nonnegative matrices, Linear Algebra and its Applications 430 (2009) 1442-1451.
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