How to use RSVD to solve the matrix equation A = BXC

被引：5
|
作者：
Liu, Yonghui [1 ]
Tian, Yongge [2 ]
机构：
[1] Shanghai Finance Univ, Dept Appl Math, Shanghai, Peoples R China
[2] Cent Univ Finance & Econ, China Econ & Management Acad, Beijing, Peoples R China
来源：
LINEAR & MULTILINEAR ALGEBRA | 2010年 / 58卷 / 05期
关键词：
matrix pencil; matrix equation; maximal rank; minimal rank; restricted singular value decomposition (RSVD); SINGULAR-VALUE DECOMPOSITION; EXTREMAL RANKS; EXPRESSIONS;
D O I：
10.1080/01445340802354549
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Through the restricted singular value decomposition (RSVD) of the matrix triplet (C, A, B), we show in this note how to choose a variable matrix X such that the matrix pencil A - BXC attains its maximal and minimal ranks. As applications, we show how to use the RSVD to solve the matrix equation A = BXC.
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页码：537 / 543
页数：7
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