×

Explicit solution for an infinite dimensional generalized inverse eigenvalue problem. (English) Zbl 0994.65039

The paper deals with the inverse eigenvalue problem \(Ax=\lambda Bx\), where \(A\) is a symmetric three-diagonal infinite matrix with positive off-diagonal entries and \(B\) is a diagonal infinite invertible matrix. An explicit solution for \(A\) is constructed using the technique of orthogoal polynomials.

MSC:

65F18 Numerical solutions to inverse eigenvalue problems
47B36 Jacobi (tridiagonal) operators (matrices) and generalizations
PDFBibTeX XMLCite
Full Text: DOI EuDML