Name
Abstract | ||
|---|---|---|
In this paper, an efficient iterative method is presented to solve the linear matrix equation [image omitted] (X) = E with real matrix X. By this iterative method, the solvability of the linear matrix equation can be determined automatically. When the matrix equation is consistent, then, for any initial matrix X0, a solution can be obtained within finite iteration steps in the absence of roundoff errors, and the least norm solution can be obtained by choosing a special kind of initial matrix. We also propose an iterative algorithm to obtain the solution or the least norm solution of the consistent matrix system. The given numerical examples demonstrate the efficiency of these two algorithms. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1080/00207160802195977 | Int. J. Comput. Math. |
Keywords | Field | DocType |
norm solution,efficient iterative method,matrix equation,linear matrix equation,real matrix x,iterative method,iterative algorithm,linear matrix system,initial matrix,initial matrix x0,consistent matrix system,iteration method,linear operator | Convergent matrix,Mathematical optimization,Mathematical analysis,Matrix function,Single-entry matrix,Augmented matrix,Square matrix,Symmetric matrix,Block matrix,Matrix splitting,Mathematics | Journal |
Volume | Issue | ISSN |
87 | 4 | 0020-7160 |
Citations | PageRank | References |
4 | 0.50 | 5 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Youfeng Su | 1 | 736 | 32.64 |
| Guo-Liang Chen | 2 | 106 | 17.84 |