Constructing Jacobi matrices with prescribed ordered defective eigenpairs and a principal submatrix

Authors:
Zhen-yun Peng;Xu-li Han
Affiliations:
Department of Mathematics, Hunan University of Science and Technology, Xiangtan 411201, P.R. China and Department of Mathematics, Central South University, Changsha 410083, P.R. China;Department of Mathematics, Central South University, Changsha 410083, P.R. China
Venue:
Journal of Computational and Applied Mathematics
Year:
2005

Citing 2
Cited 2

An inverse extreme eigenpair problem and its parallel iterative solution for symmetric tridiagonal matrices

SIAM Journal on Numerical Analysis
On the Jacobi Matrix Inverse Eigenvalue Problem with Mixed Given Data

SIAM Journal on Matrix Analysis and Applications

The expansion problem of anti-symmetric matrix under a linear constraint and the optimal approximation

Journal of Computational and Applied Mathematics
Physical parameters reconstruction of a fixed-fixed mass-spring system from its characteristic data

Journal of Computational and Applied Mathematics

Quantified Score

Hi-index	7.29

Visualization

Abstract

This paper considers the problem of constructing a Jacobi matrix from prescribed ordered defective eigenpairs and the leading principal submatrix. According to the relationship between the eigenvalue ordered and the number of variations in signs of the corresponding eigenvector, the necessary and sufficient conditions for the solvability of the problem are derived, and the numerical algorithm is developed. Numerical examples show that the algorithm is quite efficient.