×

On the inverse eigenvalue problem of a 2 by 2 symmetric quadratic form. (English) Zbl 1143.15008

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
PDFBibTeX XMLCite