| 罗慧,马昌凤.求解PageRank的修正多步幂-多分裂内外迭代法[J].井冈山大学自然版,2022,43(5):1-7 |
| 求解PageRank的修正多步幂-多分裂内外迭代法 |
| A MODIFIED MULTIPLE POWER ITERATION AND MULTIPLE INTERNAL AND EXTERNAL ITERATION METHOD FOR SOLVING PAGERANK |
| 投稿时间：2022-01-14 修订日期：2022-03-29 |
| DOI：10.3969/j.issn.1674-8085.2022.05.001 |
| 中文关键词: PageTank 幂法 两步分裂迭代 |
| 英文关键词: PageRank power method two-step split iteration |
| 基金项目:国家自然科学基金项目(11901098);福建省自然科学基金项目(2020J05034) |
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| 中文摘要: |
| 在一种基于多步幂法和多步分裂的IO迭代的变体（用MPMIO来表示）的基础上，提出了一种IO（PIO）迭代的变式，将多步幂法和多步分裂的IO迭代的结合扩展到更为一般的情形，讨论了该算法的全局收敛性，并通过数值算例说明了该方法的有效性。 |
| 英文摘要: |
| Based on a variant of IO iteration (expressed by MPMIO) based on multi-step power method and multi-step splitting introduced by Pu et al, a variant of IO(PIO) iteration was proposed, which extended the combination of multi-step power method and multi-step split IO iteration to more general cases. Its convergence is proved theoretically and a numerical examples were carried out to explain the effectiveness of the method. |
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