In this paper, we give a complete, explicit and constructive solution to the double generalized majorization problem. Apart from purely combinatorial interest, double generalized majorization problem has strong impact in Matrix and Matrix Pencils Completion Problems, Bounded Rank Perturbation Problems, and it has additional nice interpretation in Representation Theory of Kronecker Quivers.
@article{10_37236_11127,
author = {Marija Dodig and Marko Stosic},
title = {Double generalized majorization},
journal = {The electronic journal of combinatorics},
year = {2022},
volume = {29},
number = {4},
doi = {10.37236/11127},
zbl = {1504.05022},
url = {http://geodesic.mathdoc.fr/articles/10.37236/11127/}
}
TY - JOUR
AU - Marija Dodig
AU - Marko Stosic
TI - Double generalized majorization
JO - The electronic journal of combinatorics
PY - 2022
VL - 29
IS - 4
UR - http://geodesic.mathdoc.fr/articles/10.37236/11127/
DO - 10.37236/11127
ID - 10_37236_11127
ER -
%0 Journal Article
%A Marija Dodig
%A Marko Stosic
%T Double generalized majorization
%J The electronic journal of combinatorics
%D 2022
%V 29
%N 4
%U http://geodesic.mathdoc.fr/articles/10.37236/11127/
%R 10.37236/11127
%F 10_37236_11127
Marija Dodig; Marko Stosic. Double generalized majorization. The electronic journal of combinatorics, Tome 29 (2022) no. 4. doi: 10.37236/11127