A Parameter Iterative Method for the Sylvester Matrix Equation

作者：Luo Wei Hua; Wu Kai Teng^*

来源：International Journal of Nonlinear Sciences and Numerical Simulation, 2010, 11: 259-263.

• Sylvester matrix equation
• parameter iterative method
• convergence

A parameter iterative method for the Sylvester matrix equation whose coefficient matrices are strictly diagonally dominant is studied. Firstly, an iterative algorithm is established to solve the equation with a unique solution by changing the form of the equation directly rather than its invertible matrix. Secondly, its convergence to the exact solution for any initial value and error bound are analyzed. Lastly, a real application of this iterative method is given to show its feasibility and validity.

• 出版日期2010
• 单位内江师范学院