An inverse eigenvalue problem for pseudo-Jacobi matrices

DOI10.1016/j.amc.2018.10.051zbMath1429.65081OpenAlexW2899927133MaRDI QIDQ2008433

Natália Bebiano, Wei-Ru Xu, Guo-Liang Chen

Publication date: 25 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2018.10.051

zbMATH Keywords

tridiagonal matrixinverse eigenvalue problemJacobi matrixpseudo-Jacobi matrix

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Numerical solutions to inverse eigenvalue problems (65F18)

Related Items

Two inverse eigenvalue problems for matrices whose graphs are trees, A divide-and-conquer method for constructing a pseudo-Jacobi matrix from mixed given data, An inverse eigenvalue problem for modified 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, How to choose the signature operator such that the periodic pseudo-Jacobi inverse eigenvalue problem is solvable?

Cites Work

• A new algorithm on the inverse eigenvalue problem for double dimensional Jacobi matrices
• An inverse eigenvalue problem for periodic Jacobi matrices in Minkowski spaces
• The numerically stable reconstruction of Jacobi matrices from spectral data
• An inverse eigenvalue problem for Jacobi matrix
• Inverse eigenvalue problems for Jacobi matrices
• On an inverse eigenproblem for Jacobi matrices
• On the construction of a Jacobi matrix from spectral data
• On sufficient and necessary conditions for the Jacobi matrix inverse eigenvalue problem
• The Inverse Eigenvector Problem for Real Tridiagonal Matrices
• One Can Hear the Composition of a String: Experiments with an Inverse Eigenvalue Problem
• Corrigendum: Inverse problems for pseudo-Jacobi matrices: existence and uniqueness results
• Procrustes problems and inverse eigenproblems for multilevel block α -circulants
• Inverse problems for pseudo-Jacobi matrices: existence and uniqueness results
• Structured inverse eigenvalue problems
• A survey of matrix inverse eigenvalue problems
• The Construction of Jacobi and Periodic Jacobi Matrices With Prescribed Spectra
• Some inverse problems on Jacobi matrices
• On the Jacobi Matrix Inverse Eigenvalue Problem with Mixed Given Data
• On inverse eigenvalue problems for two kinds of special banded matrices
• A new algorithm for an inverse eigenvalue problem on Jacobi matrices
• An algorithm for constructing a pseudo‐Jacobi matrix from given spectral data
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