A new algorithm on the inverse eigenvalue problem for double dimensional Jacobi matrices

DOI10.1016/j.laa.2012.05.009zbMath1251.65051OpenAlexW1991596020MaRDI QIDQ445837

Xiaoqian Wu, Er-Xiong Jiang

Publication date: 27 August 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.2012.05.009

zbMATH Keywords

algorithmnumerical resultseigenvalue problemeigenvectorsinverse eigenvalue problemJacobi matrixsymmetric tridiagonal matrixdouble dimension problem

Mathematics Subject Classification ID

Numerical solutions to inverse eigenvalue problems (65F18)

Related Items (10)

Reconstruction of Jacobi matrices with mixed spectral data ⋮ A class of inverse eigenvalue problems for real symmetric banded matrices with odd bandwidth ⋮ A divide-and-conquer method for constructing a pseudo-Jacobi matrix from mixed given data ⋮ An inverse eigenvalue problem for Jacobi matrix ⋮ A Jacobi matrix inverse eigenvalue problem with mixed data ⋮ Generalized inverse eigenvalue problem for matrices whose graph is a path ⋮ Inverse eigenvalue problem of Jacobi matrix with mixed data ⋮ CONSTRUCTION OF FULL H-MATRICES WITH THE GIVEN EIGENVALUES BASED ON THE GIVENS MATRICES ⋮ An inverse eigenvalue problem for pseudo-Jacobi matrices ⋮ A divide and conquer algorithm on the double dimensional inverse eigenvalue problem for Jacobi matrices

Cites Work

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• On the construction of a Jacobi matrix from mixed given data
• Perturbation in eigenvalues of a symmetric tridiagonal matrix
• On an inverse eigenproblem for Jacobi matrices
• A survey of matrix inverse eigenvalue problems
• On the Jacobi Matrix Inverse Eigenvalue Problem with Mixed Given Data
• An extension of the roots separation theorem

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