Iterative algorithms for solving a class of complex conjugate and transpose matrix equations

作者：Wu, Ai Guo^*; Lv, Lingling; Duan, Guang Ren

来源：Applied Mathematics and Computation, 2011, 217(21): 8343-8353.

DOI：10.1016/j.amc.2011.02.113

• Iterative algorithm
• Conjugate
• Transpose
• Complex matrix equations
• Real representation
• 2-Norm

This paper is concerned with iterative solutions to a class of complex matrix equations, which include some previously investigated matrix equations as special cases. By applying the hierarchical identification principle, an iterative algorithm is constructed to solve this class of matrix equations. A sufficient condition is presented to guarantee that the proposed algorithm is convergent for an arbitrary initial matrix with a real representation of a complex matrix as tools. By using some properties of the real representation, a convergence condition that is easier to compute is also given in terms of original coefficient matrices. A numerical example is employed to illustrate the effectiveness of the proposed methods.

• 出版日期2011-7-1
• 单位华北水利水电大学; 哈尔滨工业大学