Structure-preserving Schur methods for computing Square roots of real skew Hamiltonian matrices

摘要：

In this paper we consider the computation of the square roots of a skew Hamiltonian matrix. We first give a classification of square roots of a skew Hamiltonian matrix A, then propose a structured Schur algorithm for computing those square roots that are functions of A, and finally develop a structured real Schur algorithm for computing the square roots of a real skew Hamiltonian matrix A which are functions of A.

关键词： Structured matriz square root skew-Hamiltonian matriz structure-preserving algorithm

作者: Zhongyun Liu Yunlin Zhang

作者单位: School of Math., Changsha University of Science & Technology, Hunan, 410076, China Dept.of Math., University of Minho, Campus de Gualtar, 4710-057 Braga, Portugal

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: 825-828

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）