Title
Displacements of Matrix Products
Abstract
For fixed matrices M and N, either of the linear transformations A A-MAN or or A MA-AN is called a displacement of the matrix A. Displacement can greatly reduce the rank of structured matrices, such as circulant, Vandermonde, Toeplitz and Hankel matrices. This rank reduction has been widely used for inverting structured matrices. In this paper, several formulas are given for both types of displacements applied to matrix products. Very few results for matrix products are known, yet they are desirable for dealing with matrix equations such as P 2=P, AA *=I, and A=UV *.
Year
DOI
Venue
1995
10.1007/3-540-60114-7_29
AAECC
Keywords
Field
DocType
matrix products,matrix equation,linear transformation
Matrix analysis,Combinatorics,Nonnegative matrix,Matrix (mathematics),Augmented matrix,Square matrix,Matrix multiplication,Matrix splitting,Block matrix,Mathematics
Conference
Volume
ISSN
ISBN
948
0302-9743
3-540-60114-7
Citations 
PageRank 
References 
0
0.34
1
Authors
2
Name
Order
Citations
PageRank
Quyen L. Nguyen1223.04
David H. Wood2182.08