Newton’s Method for M-Tensor Equations
| العنوان: | Newton’s Method for M-Tensor Equations |
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| المؤلفون: | Dong-Hui Li, Jie-Feng Xu, Hong-Bo Guan |
| المصدر: | Journal of Optimization Theory and Applications. 190:628-649 |
| بيانات النشر: | Springer Science and Business Media LLC, 2021. |
| سنة النشر: | 2021 |
| مصطلحات موضوعية: | symbols.namesake, Control and Optimization, Rate of convergence, Applied Mathematics, Convergence (routing), Theory of computation, symbols, Applied mathematics, Management Science and Operations Research, Constant term, Newton's method, Mathematics |
| الوصف: | We are concerned with the tensor equations whose coefficient tensors are M-tensors. We first propose a Newton method for solving the equation with a positive constant term and establish its global and quadratic convergence. Then we extend the method to solve the equation with a nonnegative constant term and establish its convergence. At last, we do numerical experiments to test the proposed methods. The results show that the proposed methods are quite efficient. |
| تدمد: | 1573-2878 0022-3239 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::7ad7e4c2b6fcf6699b13780ff77fad36 https://doi.org/10.1007/s10957-021-01904-0 |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi...........7ad7e4c2b6fcf6699b13780ff77fad36 |
| قاعدة البيانات: | OpenAIRE |
Find this article in full text from Springer Verlag. | تدمد: | 15732878 00223239 |
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