Title : ( ON THE SOLVABILITY OF THE MATRIX INEQUALITY AXA∗ + BX∗B∗ ≥ C )
Authors: mehdi vosough , Mohammad Sal Moslehian ,
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Abstract
In this talk, we state some necessary and sufficient conditions for the existence of a solution of AXA∗ + BX∗B∗ ≥ C, where A, B are arbitrary matrices and C is a Hermitian matrix. In the special case when B = A, we determine the general solution of A(X + X∗)A∗ ≥ C, where A is an arbitrary matrix and C is a Hermitian matrix.
Keywords
, Solvability, Matrix inequality, Hermitian Matrix
@inproceedings{paperid:1066695,
author = {Vosough, Mehdi and Sal Moslehian, Mohammad},
title = {ON THE SOLVABILITY OF THE MATRIX INEQUALITY AXA∗ + BX∗B∗ ≥ C},
booktitle = {نهمین سمینار جبرخطی و کاربردهای آن},
year = {2017},
location = {تبریز, IRAN},
keywords = {Solvability; Matrix inequality; Hermitian Matrix},
}
%0 Conference Proceedings
%T ON THE SOLVABILITY OF THE MATRIX INEQUALITY AXA∗ + BX∗B∗ ≥ C
%A Vosough, Mehdi
%A Sal Moslehian, Mohammad
%J نهمین سمینار جبرخطی و کاربردهای آن
%D 2017
