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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 | ||
آمار تعداد مشاهده مقاله: 177 تعداد دریافت فایل اصل مقاله: 230 |