Hochstadt inverse eigenvalue problem for Jacobi matrices

DOI10.1016/j.jmaa.2017.05.014zbMath1370.65019OpenAlexW2616330811MaRDI QIDQ2013088

Petru A. Cojuhari, Leonid P. Nizhnik

Publication date: 3 August 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.05.014

zbMATH Keywords

algorithmnecessary and sufficient conditionsinverse eigenvalue problemexistence of solutionJacobi matrixHochstadt inverse eigenvalue problem

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Numerical solutions to inverse eigenvalue problems (65F18)

Related Items (3)

A method for recovering Jacobi matrices with mixed spectral data ⋮ Generalized inverse eigenvalue problems for Hermitian and \(J\)-Hamiltonian/skew-Hamiltonian matrices ⋮ On the construction of real non-selfadjoint tridiagonal matrices with prescribed three spectra

Cites Work

• On the construction of a Jacobi matrix from mixed given data
• Inverse eigenvalue problems for Jacobi matrices
• \(m\)-functions and inverse spectral analysis for finite and semi-infinite Jacobi matrices
• On the construction of a Jacobi matrix from spectral data
• Handbook of Linear Algebra
• Structured inverse eigenvalue problems
• Unbounded Jacobi Matrices with Empty Absolutely Continuous Spectrum
• Inverse Eigenvalue Problems
• Inverse eigenvalue problems
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