Explicit solution for an infinite dimensional generalized inverse eigenvalue problem

Kazem Ghanbari

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 26, 1-11

Abstract:

We study a generalized inverse eigenvalue problem (GIEP), A x = λ B x , in which A is a semi-infinite Jacobi matrix with positive off-diagonal entries c i > 0 , and B = diag ( b 0 , b 1 , … ) , where b i ≠ 0 for i = 0 , 1 , … . We give an explicit solution by establishing an appropriate spectral function with respect to a given set of spectral data.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:641365

DOI: 10.1155/S0161171201010304

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