一种新的谱分割迭代格式  

A new iterative scheme of inverse free spectral division algorithms

作　　者：袁璠 段复建[1] YUAN Fan;DUANF jan(School of Mathematics and Computational Science,Guilin University of Electronic Technology,Guilin 54 1004,China)

机构地区：[1]桂林电子科技大学数学与计算科学学院,广西桂林541004

出　　处：《桂林电子科技大学学报》2018年第3期219-223,共5页Journal of Guilin University of Electronic Technology

基　　金：国家自然科学基金(11461015)

摘　　要：为了提高矩阵束的无逆谱分割算法的性能与稳定性,提出了一种新的迭代格式。该迭代格式应用分块Householder QR分解,使得其中一个迭代矩阵为上三角结构,提高了算法效率和稳定性。数值结果表明,新的迭代格式可行。In order to improve the performance and stability of inverse free spectral division algorithms for a matrix pencil,a new iterative scheme of such inverse free spectral division algorithms is proposed.The new iterative scheme uses block Householder QR factorization,making one of the iterative matrices an upper triangular structure,which improves the efficiency and stability of these algorithms.The numerical results show that the new iterative scheme is feasible.

关 键 词：广义特征值问题 谱分割 QR分解 

分 类 号：O151.21[理学—数学]