پیوندهای مفید
آمار
| تعداد نشریات | 32 |
| تعداد شمارهها | 861 |
| تعداد مقالات | 8,364 |
| تعداد مشاهده مقاله | 53,003,995 |
| تعداد دریافت فایل اصل مقاله | 9,367,020 |
On the inverse eigenvalue problem for a specific symmetric matrix | ||
| Journal of Mathematical Modeling | ||
| مقاله 5، دوره 11، شماره 3، دی 2023، صفحه 479-489 اصل مقاله (156.9 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2023.24068.2151 | ||
| نویسنده | ||
| Maryam Babaei Zarch* | ||
| Faculty of Mathematical Sciences, Vali-e-Asr University of Rafsanjan, Rafsanjan, Kerman, Iran | ||
| چکیده | ||
| The aim of the current paper is to study a partially described inverse eigenvalue problem of a specific symmetric matrix, and prove some properties of such matrix. The problem includes the construction of the matrix by the minimal eigenvalue of all leading principal submatrices and eigenpair $(\lambda_2^{(n)},x)$ such that $ \lambda_2^{(n)}$ is the maximal eigenvalue of the required matrix. We investigate conditions for the solvability of the problem, and finally an algorithm and its numerical results are presented. | ||
| کلیدواژهها | ||
| Eigenvalue؛ eigenpair؛ leading principal submatrices؛ inverse eigenvalue problem | ||
| مراجع | ||
|
[1] M. T. Chu, H.Golub, Inverse Eigenvalue Problems: Theory, Algorithms, and Applications, Numeri- cal mathematics and Scientific Computation Oxford University Press, New York (2005). [2] D. Sharma and M. Sen, The minimax inverse eigenvalue problem for matrices whose graph is a generalized star of depth 2, Linear Algebra Appl, 621 (2021) 334–344. [3] D. Sharma and B. Sarma, Extremal inverse eigenvalue problem for irreducible acyclic matrices, Applied Mathematics in Science and Engineering. 30 (2022) 192–209. [4] M. Babaei, S.A. Shahzadeh Fazeli, S.M. Karbassi, Inverse eigenvalue problem for constructing a kind of acyclic matrices with two eigenpairs, Appl Math. 65 (2020) 89–103. [5] H. Pickmann, J. Egana, R.L. Soto, Extremal inverse eigenvalue problem for bordered diagonal ma- trices. Linear Algebra Appl. 427 (2007) 256–271. [6] L. Hogben, Spectral graph theory and the inverse eigenvalue problem of a graph. Electron. J. Linear Algebra. 14 (2005) 12–31. | ||
|
آمار تعداد مشاهده مقاله: 337 تعداد دریافت فایل اصل مقاله: 522 |
||