The reconstruction of a special kind of periodic Jacobi matrices

DOI10.1016/J.LAA.2011.12.034zbMath1245.15020OpenAlexW1964688705MaRDI QIDQ417496

Yinghong Xu

Publication date: 14 May 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2011.12.034

zbMATH Keywords

inverse problemstability analysiseigenvaluesnumerical algorithmunique solutionperiodic Jacobi matrix

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Numerical solutions to inverse eigenvalue problems (65F18) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (3)

An inverse eigenvalue problem for modified pseudo-Jacobi matrices ⋮ An inverse eigenvalue problem for doubly periodic pseudo-Jacobi matrices ⋮ The new inverse eigenvalue problems for periodic and generalized periodic Jacobi matrices from their extremal spectral data

Cites Work

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• Continued fractions and periodic Jacobi matrices
• A stability analysis of the Jacobi matrix inverse eigenvalue problem
• A Modified Method for Reconstructing Periodic Jacobi Matrices
• Structured inverse eigenvalue problems
• An inverse eigenvalue problem for periodic Jacobi matrices
• The Construction of Jacobi and Periodic Jacobi Matrices With Prescribed Spectra

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