A kind of inverse eigenvalue problems of the Jacobi matrix

DOI10.1016/j.amc.2005.09.003zbMath1098.65040OpenAlexW1995988979MaRDI QIDQ2493726

Juan Peng, Lei Zhang, Xi-Yan Hu

Publication date: 16 June 2006

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

Full work available at URL: https://doi.org/10.1016/j.amc.2005.09.003

zbMATH Keywords

algorithmsinverse eigenvalue problemPrincipal submatrixJacobi Matricesmaximal and minimal eigenpairs

Mathematics Subject Classification ID

Numerical solutions to inverse eigenvalue problems (65F18)

Related Items

CONSTRUCTION OF FULL H-MATRICES WITH THE GIVEN EIGENVALUES BASED ON THE GIVENS MATRICES, The constrained inverse eigenvalue problem and its approximation for normal matrices, Left and right inverse eigenpairs problem of generalized centrosymmetric matrices and its optimal approximation problem, Least-squares solutions of constrained inverse eigenproblem and associated optimal approximation problem, On inverse eigenvalue problems for two kinds of special banded matrices, A divide and conquer algorithm on the double dimensional inverse eigenvalue problem for Jacobi matrices

Cites Work

• Inverse eigenvalue problems for Jacobi matrices
• Construction of a Jacobi matrix from spectral data
• The numerically stable reconstruction of a Jacobi matrix from spectral data
• Constructing Jacobi matrices with prescribed ordered defective eigenpairs and a principal submatrix
• On the construction of a Jacobi matrix from spectral data
• On the construction of a Jacobi matrix from its mixed-type eigenpairs
• On the Jacobi Matrix Inverse Eigenvalue Problem with Mixed Given Data
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