Year: 2007
Journal of Computational Mathematics, Vol. 25 (2007), Iss. 5 : pp. 620–630
Abstract
In this paper, we discuss an inverse eigenvalue problem for constructing a $2n\times 2n$ Jacobi matrix $T$ such that its $2n$ eigenvalues are given distinct real values and its leading principal submatrix of order $n$ is a given Jacobi matrix. A new sufficient and necessary condition for the solvability of the above problem is given in this paper. Furthermore, we present a new algorithm and give some numerical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2007-JCM-8717
Journal of Computational Mathematics, Vol. 25 (2007), Iss. 5 : pp. 620–630
Published online: 2007-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Symmetric tridiagonal matrix Jacobi matrix Eigenvalue problem Inverse eigenvalue problem.