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Inverse eigenvalue problem of nonnegative matrices via unit lower triangular matrices (Part I) | ||
| Journal of Mathematical Modeling | ||
| دوره 12، شماره 1، خرداد 2024، صفحه 117-130 اصل مقاله (157.41 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2023.21759.2092 | ||
| نویسندگان | ||
| Alimohammad Nazari* ؛ Atiyeh Nezami | ||
| Department of Mathematics, Arak University, P.O. Box 38156-8-8943, Arak, Iran | ||
| چکیده | ||
| This paper uses unit lower triangular matrices to solve the nonnegative inverse eigenvalue problem for various sets of real numbers. This problem has remained unsolved for many years for $n \geq 5.$ The inverse of the unit lower triangular matrices can be easily calculated and the matrix similarities are also helpful to be able to solve this important problem to a considerable extent. It is assumed that in the given set of eigenvalues, the number of positive eigenvalues is less than or equal to the number of nonpositive eigenvalues to find a nonnegative matrix such that the given set is its spectrum. | ||
| کلیدواژه‌ها | ||
| Nonnegative matrices؛ unit lower triangular matrices؛ inverse eigenvalue problem | ||
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آمار تعداد مشاهده مقاله: 239 تعداد دریافت فایل اصل مقاله: 320 |
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