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. Nguyen | 1 | 22 | 3.04 |
David H. Wood | 2 | 18 | 2.08 |