| Abstract in Chinese | 第1-5页 |
| Abstract in English | 第5-6页 |
| 1． Introduction | 第6-7页 |
| 2． explicit formulae of solution to matrix equation AX+XB=C | 第7-17页 |
| 2．1 explicit formulae of solution to matrix equation AX+XB=C in usual | 第7-14页 |
| 2．2 the simple formulae of solution to matrix equation AX+XB=C in special | 第14-17页 |
| 3． Some applications | 第17-24页 |
| 3．1 the matrices commuting with matrix A | 第17-19页 |
| 3．2 the least-square solutions and minimum-norm least-squares solutions to matrix equation（s） AX+YB=E and AX=C XB=D | 第19-24页 |
| 4． Numerical Examples | 第24-29页 |
| References | 第29-30页 |
| Acknowledgements | 第30页 |
