An algorithm for constructing a pseudo‐Jacobi matrix from given spectral data

DOI10.1002/nla.1855zbMath1281.47015OpenAlexW2142045407MaRDI QIDQ5397311

Susana Furtado, João da Providência, Natália Bebiano

Publication date: 19 February 2014

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.1855

zbMATH Keywords

inverse eigenvalue problempseudo-Jacobi matrixEuclidean division algorithmdivision algorithm problem

Mathematics Subject Classification ID

Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (6)

A divide-and-conquer method for constructing a pseudo-Jacobi matrix from mixed given data ⋮ An inverse eigenvalue problem for modified pseudo-Jacobi matrices ⋮ An inverse eigenvalue problem for pseudo-Jacobi matrices ⋮ On the construction of real non-selfadjoint tridiagonal matrices with prescribed three spectra ⋮ An inverse eigenvalue problem for doubly periodic pseudo-Jacobi matrices ⋮ Generalized inverse spectral problem for pseudo-Jacobi matrices with mixed eigendata

Cites Work

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• An inverse spectral problem for complex Jacobi matrices
• A quasi-Jacobi form for \(J\)-normal matrices and inverse eigenvalue problems
• On the eigenvalues of non-negative Jacobi matrices
• On the construction of a Jacobi matrix from spectral data
• Inverse problems for pseudo-Jacobi matrices: existence and uniqueness results
• Some inverse problems on Jacobi matrices
• A new algorithm for an inverse eigenvalue problem on Jacobi matrices

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