典型文献
A System of Sylvester-type Quaternion Matrix Equations with Ten Variables
文献摘要：
This paper studies a system of three Sylvester-type quaternion matrix equations with ten variables AiXi+YiBi+CiZiDi+FiZi+1Gi=Ei,i=(1,3).We derive some necessary and sufficient conditions for the existence of a solution to this system in terms of ranks and Moore-Penrose inverses of the matrices involved.We present the general solution to the system when the solvability conditions are satisfied.As applications of this system,we provide some solvability conditions and general solutions to some systems of quaternion matrix equations involving φ-Hermicity.Moreover,we give some numerical examples to illustrate our results.The findings of this paper extend some known results in the literature.
文献关键词：
中图分类号：
作者姓名：
Meng Yan XIE;Qing Wen WANG;Zhuo Heng HE;Mehany Mahmoud SAAD
作者机构：
Department of Mathematics,Shanghai University,Shanghai 200444,P.R.China
文献出处：
引用格式：
[1]Meng Yan XIE;Qing Wen WANG;Zhuo Heng HE;Mehany Mahmoud SAAD-.A System of Sylvester-type Quaternion Matrix Equations with Ten Variables)[J].数学学报（英文版）,2022(08):1399-1420
A类：
AiXi+YiBi+CiZiDi+FiZi+1Gi,inverses,Hermicity
B类：
System,Sylvester,type,Quaternion,Matrix,Equations,Ten,Variables,This,paper,studies,three,quaternion,matrix,equations,variables,Ei,We,derive,some,necessary,sufficient,conditions,existence,this,terms,ranks,Moore,Penrose,matrices,involved,present,general,when,solvability,are,satisfied,applications,we,provide,solutions,systems,involving,Moreover,give,numerical,examples,illustrate,our,results,findings,extend,known,literature
AB值：
0.573469
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