Title of article
Decomposability of Weak Majorization
Author/Authors
Khalooei, Fatemeh Department of Pure Mathematics - Faculty of Mathematics and Computer - Shahid Bahonar University of Kerman, Kerman, Iran , Ilkhanizadeh Manesh, Asma Department of Mathematics - Vali-e-Asr University of Rafsanjan - P.O. Box: 7713936417, Rafsanjan, Iran
Pages
8
From page
11
To page
18
Abstract
Let x; y 2 Rn: We use the notation x w y when x is weakly majorized by y. We say that x w y is decomposable at k (1 k < n) if x w y has a coincidence at k and yk , yk+1. Corresponding
to this majorization we have a doubly substochastic matrix P. The paper presents x w y is decomposable at some k (1 k < n) if and only if P is of the form D Q where D and Q are doubly stochastic and doubly substochastic matrices, respectively. Also, we write some algorithms to obtain x from y
when x w y.
Keywords
Decomposability , Doubly substochastic matrix , Weak majorization , Majorization
Journal title
Wavelets and Linear Algebra
Serial Year
2021
Record number
2704156
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