Name
Abstract | ||
|---|---|---|
Let R@?C^m^x^m and S@?C^n^x^n be nontrivial involution matrices; i.e. R=R^-^1+/-I and S=S^-^1+/-I. An mxn complex matrix A is said to be a (R,S)-symmetric ((R,S)-skew symmetric) matrix if RAS=A (RAS=-A). The (R,S)-symmetric and (R,S)-skew symmetric matrices have many special properties and are widely used in engineering and scientific computations. In this paper, we consider the matrix equations A"1XB"1=C,A"1X=D"1,XB"2=D"2, and A"1X=D"1,XB"2=D"2,A"3X=D"3,XB"4=D"4, over the (R,S)-symmetric ((R,S)-skew symmetric) matrix X. We derive necessary and sufficient conditions for the existence of (R,S)-symmetric ((R,S)-skew symmetric) solutions for these matrix equations. Also we give the expressions for the (R,S)-symmetric ((R,S)-skew symmetric) solutions to the matrix equations. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.camwa.2010.03.052 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
sufficient condition,skew symmetric matrix,matrix equation,skew symmetric,special property,nontrivial involution matrix,matrix x,scientific computation,mxn complex matrix,symmetric matrices,scientific computing,symmetric matrix,generalized inverse | Complex matrix,Square root of a 2 by 2 matrix,Combinatorics,Skew-symmetric matrix,Matrix (mathematics),Generalized inverse,Symmetric matrix,Symmetric closure,Mathematics | Journal |
Volume | Issue | ISSN |
59 | 11 | Computers and Mathematics with Applications |
Citations | PageRank | References |
9 | 0.49 | 18 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mehdi Dehghan | 1 | 3022 | 324.48 |
| Masoud Hajarian | 2 | 345 | 24.18 |