Name
Title | ||
|---|---|---|
The (P, Q) generalized reflexive and anti-reflexive solutions of the matrix equation AX = B |
Abstract | ||
|---|---|---|
An n×n complex matrix P is said to be a generalized reflection matrix if PH=P and P2=I. An n×n complex matrix A is said to be a (P,Q) generalized reflexive (or anti-reflexive) matrix with respect to the generalized reflection matrix dual (P,Q) if A=PAQ (or A=-PAQ). This paper establishes the necessary and sufficient conditions for the existence of and the expressions for the (P,Q) generalized reflexive and anti-reflexive solutions of the matrix equation AX=B. In addition, in corresponding solution set of the equation, the explicit expression of the nearest matrix to a given matrix in the Frobenius norm has been provided. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.amc.2008.12.059 | Applied Mathematics and Computation |
Keywords | Field | DocType |
(P,Q) generalized reflexive matrix,(P,Q) generalized anti-reflexive matrix,Matrix equation,Matrix nearness problem | Square root of a 2 by 2 matrix,Combinatorics,Pascal matrix,Nonnegative matrix,Mathematical analysis,Matrix function,Square matrix,Symmetric matrix,Centrosymmetric matrix,Mathematics,Involutory matrix | Journal |
Volume | Issue | ISSN |
209 | 2 | 0096-3003 |
Citations | PageRank | References |
9 | 0.80 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jian Chen Zhang | 1 | 9 | 0.80 |
| Shuzi Zhou | 2 | 53 | 7.19 |
| Xiyan Hu | 3 | 121 | 25.32 |