On some properties of the extended block and global Arnoldi methods with applications to model reduction
On some properties of the extended block and global Arnoldi methods with applications to model reduction
复制标题
扩展块和全局 Arnoldi 方法的一些属性及其在模型简化中的应用
作者：
O. Abidi;M. Heyouni;K. Jbilou
本文的目的是给出扩展块和扩展全局Arnoldi算法的一些新的代数性质。然后将这些结果应用于大尺度动力系统模型约简的矩匹配方法，通过同时匹配矩和马尔可夫参数获得近似原始模型的低阶模型。数值算例表明了该方法在一些基准测试中的有效性。
The aim of the present paper is to give some new algebraic properties of the extended block and the extended global Arnoldi algorithms. These results are then applied on moment matching methods for model reductions in large-scale dynamical systems to get low-order models that approximate the original models by matching moments and Markov parameters at the same time. Some numerical examples are given to show the effectiveness of the methods on some benchmark tests.