Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630407 | Applied Mathematics and Computation | 2011 | 12 Pages |
Abstract
An iterative algorithm is constructed to give a common solution to a group of complex matrix equations. By using the proposed algorithm, the existence of a common solution can be determined automatically. When a common solution exists for this group of matrix equations, it is proven by using a real inner product in complex matrix spaces as a tool that a solution can be obtained within finite iteration steps for any initial values in the absence of round-off errors. The algorithm is also generalized to solve a more general case. A numerical example is given to illustrate the effectiveness of the proposed method.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Ai-Guo Wu, Lingling Lv, Ming-Zhe Hou,