Inverse problems for Jacobi operators: I. Interior mass–spring perturbations in finite systems

DOI10.1088/0266-5611/28/5/055007zbMath1259.47040arXiv1106.1691OpenAlexW2963064383MaRDI QIDQ2888755

Mikhail Kudryavtsev, Rafael René del Río Castillo

Publication date: 4 June 2012

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.1691

zbMATH Keywords

inverse problemperturbationJacobi matrix

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Difference operators (39A70) Inverse problems involving ordinary differential equations (34A55) Inverse problems for systems of particles (70F17) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Free motions in linear vibration theory (70J30)

Related Items (10)

Inverse spectral analysis for a class of infinite band symmetric matrices ⋮ Spectral analysis for linear semi-infinite mass-spring systems ⋮ Non-homogeneous chain of harmonic oscillators ⋮ Coupling homogeneous chains of damped harmonic oscillators ⋮ On meromorphic inner functions in the upper half-plane ⋮ A new inverse three spectra theorem for Jacobi matrices ⋮ Inverse eigenvalue problems for singular rank one perturbations of a Sturm-Liouville operator ⋮ Ambarzumian-type problems for discrete Schrödinger operators ⋮ Reconstructing real symmetric matrices from eigenvalues of finite dimensional perturbations ⋮ Inverse problems for Jacobi operators with mixed spectral data

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