Self-Conjugate and Positive-Definite Solutions of UALE over Quaternion Field

摘要：

Using the structure-preserving property of real representation operation of quatemion matrix, some necessary and sufficient conditions for the existence of self-conjugate and positive-definite solutions of the unified algebraic Lyapunov equation A*X + XA + θA*XA = -B over quaternion field (QUALE for short) are derived. Secondly, we construct iterative algorithms to find self-conjugate and positive definite solutions of this matrix equation, Simultaneously, we analyze the convergence of the algorithm. Finally, a numerical example shows that algorithm is feasible.

关键词： quatemion matriz equation self-conjugate solution positive definite solution iterative algorithm

作者: Jianli Wang Jingpin Huang

作者单位: College of Computer and Information Science, Guangxi University for Nationalities, Nanning 530006

会议类型: 国际会议

会议名称: The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)

会议地点: 杭州

会议语种:英文

页码: 1043-1046

在线出版日期: 2009-07-09（万方平台首次上网日期，不代表论文的发表时间）