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    吴锋

    • 教授     博士生导师   硕士生导师
    • 性别:男
    • 毕业院校:大连理工大学
    • 学位:博士
    • 所在单位:力学与航空航天学院
    • 学科:计算力学. 流体力学. 动力学与控制
    • 办公地点:大连理工大学1号综合实验楼506室;
      手机:13940846142;
      常用邮箱:wufeng_chn@163.com
    • 电子邮箱:vonwu@dlut.edu.cn

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    广义特征值问题求解的改进Ritz向量法

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    论文类型:期刊论文

    第一作者:李秀梅

    通讯作者:吴锋

    发表时间:2022-06-30

    发表刊物:振动与冲击

    期号:7

    页面范围:19-23

    ISSN号:1000-3835

    摘要: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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