A modified gradient based algorithm for solving Sylvester equations

作者：Wang Xiang^*; Dai Lin; Liao Dan

来源：Applied Mathematics and Computation, 2012, 218(9): 5620-5628.

DOI：10.1016/j.amc.2011.11.055

• Sylvester equations
• Gradient based algorithm
• Modified gradient based algorithm

In this paper a modified gradient based algorithm for solving Sylvester equations is presented. Different from the gradient based method introduced by Ding and Chen [7] and the relaxed gradient based algorithm proposed by Niu et al. [18], the information generated in the first half-iterative step is fully exploited and used to construct the approximate solution. Theoretical analysis shows that the new method converges under certain assumptions. Numerical results are given to verify the efficiency of the new method.

• 出版日期2012-1
• 单位南昌大学