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.
Babaei Zarch, M. (2023). On the inverse eigenvalue problem for a specific symmetric matrix. Journal of Mathematical Modeling, 11(3), 479-489. doi: 10.22124/jmm.2023.24068.2151
MLA
Maryam Babaei Zarch. "On the inverse eigenvalue problem for a specific symmetric matrix". Journal of Mathematical Modeling, 11, 3, 2023, 479-489. doi: 10.22124/jmm.2023.24068.2151
HARVARD
Babaei Zarch, M. (2023). 'On the inverse eigenvalue problem for a specific symmetric matrix', Journal of Mathematical Modeling, 11(3), pp. 479-489. doi: 10.22124/jmm.2023.24068.2151
VANCOUVER
Babaei Zarch, M. On the inverse eigenvalue problem for a specific symmetric matrix. Journal of Mathematical Modeling, 2023; 11(3): 479-489. doi: 10.22124/jmm.2023.24068.2151
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