On sufficient and necessary conditions for the Jacobi matrix inverse eigenvalue problem

DOI10.1007/S00211-004-0525-XzbMath1058.65046OpenAlexW1993830975MaRDI QIDQ1882558

Michael Kwok-Po Ng, Lin-Zhang Lu

Publication date: 1 October 2004

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-004-0525-x

zbMATH Keywords

algorithmexistence of solutionsJacobi matricesinverse eigenvalue problemsinverse Sturm-Liouville problems

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Inverse problems involving ordinary differential equations (34A55) Numerical solutions to inverse eigenvalue problems (65F18) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Numerical solution of inverse problems involving ordinary differential equations (65L09)

Related Items (8)

On the construction of a real symmetric five-diagonal matrix from its three eigenpairs ⋮ Generalized inverse eigenvalue problem for matrices whose graph is a path ⋮ The inverse eigenvalue problem of generalized reflexive matrices and its approximation ⋮ Left and right inverse eigenvalue problem of \((R,S)\)-symmetric matrices and its optimal approximation problem ⋮ Descent flow methods for inverse Sturm-Liouville problem ⋮ An inverse eigenvalue problem for pseudo-Jacobi matrices ⋮ Extremal inverse eigenvalue problem for symmetric doubly arrow matrices ⋮ An inverse eigenvalue problem for the finite element model of a vibrating rod

Cites Work

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• A survey of matrix inverse eigenvalue problems
• Constructing the shape of a rod from eigenvalues
• Inverse Eigenvalue Problem for a Modified Vibrating System
• Inverse Eigenvalue Problems
• On necessary conditions for reconstruction of a specially structured Jacobi matrix from eigenvalues

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