Moghadam, M. Mohseni; Tajaddini, A. On the inverse eigenvalue problem of a 2 by 2 symmetric quadratic form. (English) Zbl 1143.15008 Int. J. Appl. Math. 21, No. 1, 17-26 (2008). Summary: A method is presented to construct a 2 by 2 symmetric quadratic problem whose eigenvalues and its submatrix eigenvalues are given. It is shown that if the eigenvalues are real numbers, then under some conditions the problem has a solution. Also the uniqueness of a real solution is proved by imposing some conditions on the corresponding eigenvalues. MSC: 15A18 Eigenvalues, singular values, and eigenvectors 15A29 Inverse problems in linear algebra 15A63 Quadratic and bilinear forms, inner products 70J50 Systems arising from the discretization of structural vibration problems Keywords:quadratic symmetric form; inverse eigenvalue problem; second-order system PDFBibTeX XMLCite \textit{M. M. Moghadam} and \textit{A. Tajaddini}, Int. J. Appl. Math. 21, No. 1, 17--26 (2008; Zbl 1143.15008)