Title of Paper:广义特征值问题求解的改进Ritz向量法

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Date of Publication:2022-06-30

Journal:振动与冲击

Issue:7

Page Number:19-23

ISSN No.:1000-3835

Abstract:To improve stability and efficiency, the improved Ritz vector method was presented, iteration and some effective measures avoiding root leakage or extra roots were adopted. The traditional Ritz vector method was improved. This new method only needed r-dimensional Krylov space to be constituted, greatly reduced the order number of projection matrix, decreased the eigenvalue computing time of projection matrix. Repeated orthogonality scheme and mode compare method were introduced. The values of block width q and iteration step r for Ritz vector were suggested. At last, with a four-parameter spectral transformation method, the computation efficiency and stability were greatly increased. At the same time, the applicable range of Ritz vector method was broadened. The numerical examples were given to demonstrate the validity and efficiency of the proposed method.

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