A note on multivariate majorization
عنوان مقاله: A note on multivariate majorization
شناسه ملی مقاله: JR_KJMMRC-11-2_010
منتشر شده در در سال 1401
شناسه ملی مقاله: JR_KJMMRC-11-2_010
منتشر شده در در سال 1401
مشخصات نویسندگان مقاله:
Mehdi Dehghanian - Department of Mathematics, Sirjan University of Technology, Sirjan, Iran
Ahmad Mohammadhasani - Department of Mathematics, Sirjan University of Technology, Sirjan, Iran
خلاصه مقاله:
Mehdi Dehghanian - Department of Mathematics, Sirjan University of Technology, Sirjan, Iran
Ahmad Mohammadhasani - Department of Mathematics, Sirjan University of Technology, Sirjan, Iran
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.
کلمات کلیدی: doubly stochastic, extreme point, multivariate majorization
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1458726/