On the determination of a tridiagonal matrix from its spectrum and a submatrix. (English) Zbl 0541.15004
Zu gegebenen reellen Eigenwerten \(\lambda_ 1<\lambda_ 2<...<\lambda_{2n}\) bestimmen Verff. alle \(n\times n\)- Tridiagonalmatrizen \(S=(s_{i,k}) (s_{i,k}=s_{k,i}\), \(s_{i,k}=0\) für \(k>i+1\), \(s_{i,i+1}>0)\), die sich zu 2\(n\times 2n\)- Tridiagonalmatrizen mit dem gegebenen Spektrum erweitern lassen. Die Menge dieser Matrizen ist Schnitt einer Hyperebene mit einem Kegel.
Reviewer: H.-J.Kowalsky
MSC:
| 15A18 | Eigenvalues, singular values, and eigenvectors |
References:
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