The Computational Solution of Generalized Inverse Eigenvalue Problem for Pseudo-Jacobi Matrix
This paper is concerned with two generalized inverse eigenvalue problems for a kind of pseudo-Jacobi matrix. From a non-Hermite matrix, an r×r Jacobi matrix, two distinct real eigenvalues, and part of the corresponding eigenvectors, an n×n pseudo-Jacobi matrix is constructed. Furthermore, an n×n pse...
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/1214609 |
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| _version_ | 1832559267397238784 |
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| author | Fuxia Yi Enhua Li |
| author_facet | Fuxia Yi Enhua Li |
| author_sort | Fuxia Yi |
| collection | DOAJ |
| description | This paper is concerned with two generalized inverse eigenvalue problems for a kind of pseudo-Jacobi matrix. From a non-Hermite matrix, an r×r Jacobi matrix, two distinct real eigenvalues, and part of the corresponding eigenvectors, an n×n pseudo-Jacobi matrix is constructed. Furthermore, an n×n pseudo-Jacobi matrix can be made by two different eigenpairs and a positive definite diagonal matrix. It is shown that a unique pseudo-Jacobi matrix can be recovered from partial eigenpairs and certain special mixed eigendata. Two algorithms are provided for the reconstruction of such a pseudo-Jacobi matrix, and illustrative numerical examples are presented to verify the proposed algorithms. |
| format | Article |
| id | doaj-art-3392072d3bfd4968bf21175bbbf936eb |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-3392072d3bfd4968bf21175bbbf936eb2025-02-03T01:30:22ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/1214609The Computational Solution of Generalized Inverse Eigenvalue Problem for Pseudo-Jacobi MatrixFuxia Yi0Enhua Li1Jiangxi Vocational and Technical College of CommunicationsChongqing Technology and Business UniversityThis paper is concerned with two generalized inverse eigenvalue problems for a kind of pseudo-Jacobi matrix. From a non-Hermite matrix, an r×r Jacobi matrix, two distinct real eigenvalues, and part of the corresponding eigenvectors, an n×n pseudo-Jacobi matrix is constructed. Furthermore, an n×n pseudo-Jacobi matrix can be made by two different eigenpairs and a positive definite diagonal matrix. It is shown that a unique pseudo-Jacobi matrix can be recovered from partial eigenpairs and certain special mixed eigendata. Two algorithms are provided for the reconstruction of such a pseudo-Jacobi matrix, and illustrative numerical examples are presented to verify the proposed algorithms.http://dx.doi.org/10.1155/2024/1214609 |
| spellingShingle | Fuxia Yi Enhua Li The Computational Solution of Generalized Inverse Eigenvalue Problem for Pseudo-Jacobi Matrix Journal of Mathematics |
| title | The Computational Solution of Generalized Inverse Eigenvalue Problem for Pseudo-Jacobi Matrix |
| title_full | The Computational Solution of Generalized Inverse Eigenvalue Problem for Pseudo-Jacobi Matrix |
| title_fullStr | The Computational Solution of Generalized Inverse Eigenvalue Problem for Pseudo-Jacobi Matrix |
| title_full_unstemmed | The Computational Solution of Generalized Inverse Eigenvalue Problem for Pseudo-Jacobi Matrix |
| title_short | The Computational Solution of Generalized Inverse Eigenvalue Problem for Pseudo-Jacobi Matrix |
| title_sort | computational solution of generalized inverse eigenvalue problem for pseudo jacobi matrix |
| url | http://dx.doi.org/10.1155/2024/1214609 |
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