调和Arnoldi方法的一种变形

讨论求解大规模非对称矩阵内部特征问题的一种方法,与标准的调和A rnold i方法相比,该方法仍用调和R itz值作为特征值的近似,而在近似特征向量选取方面,我们充分利用A rnold i过程所提供的最末一个基向量的信息,在多1维K ry lov子空间中选取一个向量-称之为改进的调和R itz向量-作为所求的特征向量的近似.理论分析和数值试验均表明这种变形的调和A rnold i方法的可行性和有效性.

A Variant on Harmonic Arnoldi Method

This paper discusses a new method of interior eigenproblem for large nonsymmetric matrices Comparing with the standard harmonic Arnoldi method,this method retains harmonic Ritz values as the approximation of the required eigenvalues,while in the information of approximate eigenvectors,it makes full use of the last basis information which is supplied in Arnoldi process and choose new vectors in subspace with the dimension(m 1)-called modified harmonic Ritz vectors-to generate better approximation.Theoretical analysis and numerical results show the reliability and the efficiency of the new method.