How to use RSVD to solve the matrix equationA=BXC
Yonghui Liu, Yongge Tian · Linear and Multilinear Algebra · 2009
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.