RANKS OF SUBMATRICES IN THE REFLEXIVE SOLUTIONS OF SOME MATRIX EQUATIONS

被引：0

作者：

Guerarra, Sihem ^{[1
]}

Belkhiri, Radja ^{[1
]}

机构：

[1] Univ Oum El Bouaghi, Dept Math & Informat, Fac Exact Sci & Sci Nat & Life, Oum El Bouaghi 04000, Algeria

来源：

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2024年 / 39卷 / 01期

关键词：

matrix equation; rank; reflexive solution; GENERALIZED REFLEXIVE; AXB;

D O I：

10.22190/FUMI220922003G

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Maximal and minimal ranks of the two submatricesX(1)andX(2)in the(skew-) Hermitian reflexive solution X=U[X(1 )0 0 X-2] U(* )of the matrix equation AXA(& lowast;)=C, in the reflexive solution of the matrix equation AXB=Care derived. Therefore, necessary and sufficient conditions for these reflexive solutions to have special forms, and the general expressions of these reflexive solutions are achieved.

引用

页码：33 / 49

页数：17

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