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精化 Arnoldi 算法的截断版本
Truncated version of refined Arnoldi algorithm
【摘要】 给出了精化Arnoldi算法的截断版本精化不完全正交化方法,并分析了该算法的收敛性.分析结果表明:如果不完全正交化过程得到的基向量线性无关性较强,则截断算法具有计算量、存储量少,且收敛快的优点.
【Abstract】 The truncated version of the refined Arnoldi algorithm, which is referred as refined incomplete orthogonalization algorithm, is presented. A convergence analysis is made for the new algorithm. It is shown that if the basis vectors generated by the incomplete orthogonalization process are strongly linearly independent, the truncated algorithm would have the advantages of less amounts of computation and storage as well as fast convergence speed.
【关键词】 特征值问题;
算法;
收敛/精化Arnoldi算法;
精化不完全正交化算法;
【Key words】 characteristic value problems; algorithm; convergence(mathematics)/refined Arnoldi algorithm; refined incomplete orthogonalization algorithm;
【Key words】 characteristic value problems; algorithm; convergence(mathematics)/refined Arnoldi algorithm; refined incomplete orthogonalization algorithm;
【基金】 国家自然科学基金,辽宁省自然科学基金
- 【文献出处】 大连理工大学学报 ,JOURNAL OF DALIAN UNIVERSITY OF TECHNOLOGY , 编辑部邮箱 ,1997年05期
- 【分类号】O241.6
- 【下载频次】70