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A note on multivariate majorization | ||
| Journal of Mahani Mathematical Research | ||
| دوره 11، شماره 2 - شماره پیاپی 22، مرداد 2022، صفحه 119-126 اصل مقاله (478.13 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmrc.2022.19004.1204 | ||
| نویسندگان | ||
| Mehdi Dehghanian* ؛ Ahmad Mohammadhasani | ||
| Department of Mathematics, Sirjan University of Technology, Sirjan, Iran | ||
| چکیده | ||
| A matrix $A$ is said to be multivariate majorized by a matrix $B$, written $A\prec B$, if there exists a doubly stochastic matrix $D$ such that $A = BD$ . In the present paper, we obtain a totally ordered subset of $M_{nm}$ which contains a given matrix $A$. Also, we show that the totality of all extreme points of the collection of all the matrices which are multivariately majorized by a matrix $A$ is the set of all matrices obtained by permuting the columns of $A$. | ||
| کلیدواژه‌ها | ||
| doubly stochastic؛ extreme point؛ multivariate majorization | ||
| مراجع | ||
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[16] Y. Sayyari, A. Mohammadhasani, M. Dehghanian, Linear maps preserving signed permutation and substochastic matrices, Indian Journal of Pure and Applied Mathematics, (Inpress), (DOI: 10.1007/s13226-022-00245-6). | ||
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