On additive decompositions of solutions of the matrix equation AXB=C

被引：5
|
作者：
Tian, Yongge [1 ]
机构：
[1] Cent Univ Finance & Econ, China Econ & Management Acad, Beijing 100081, Peoples R China
来源：
CALCOLO | 2010年 / 47卷 / 04期
关键词：
Matrix equation; General solution; Additive decomposition of solution; Set inclusion; Generalized inverse; Rank formulas for partitioned matrices; PARTITIONED LINEAR-MODEL; COMMON SOLUTION; PARALLEL SUM; PAIR;
D O I：
10.1007/s10092-010-0019-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper considers decompositions of solutions of the linear matrix equation AXB=C into the sums of solutions of other two linear matrix equations A (1) X (1) B (1)=C (1) and A (2) X (2) B (2)=C (2). Some applications are also given on additive decompositions of generalized inverses, as well as decompositions of solutions of matrix equations into the sums of solutions of their small equations.
引用
收藏
页码：193 / 209
页数：17
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