Ghanbari, Kazem Explicit solution for an infinite dimensional generalized inverse eigenvalue problem. (English) Zbl 0994.65039 Int. J. Math. Math. Sci. 26, No. 9, 513-523 (2001). 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. Reviewer: Michael M.Konstantinov (Sofia) Cited in 1 Document MSC: 65F18 Numerical solutions to inverse eigenvalue problems 47B36 Jacobi (tridiagonal) operators (matrices) and generalizations Keywords:inverse eigenvalue problem; infinite matrix; explicit solution; orthogoal polynomials PDFBibTeX XMLCite \textit{K. Ghanbari}, Int. J. Math. Math. Sci. 26, No. 9, 513--523 (2001; Zbl 0994.65039) Full Text: DOI EuDML