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隐式重新启动精化Lanczos双对角化方法
  • ISSN号：0438-0479
  • 期刊名称：厦门大学学报(自然科学版)
  • 时间：0
  • 页码：-
  • 分类：O241.6[理学—计算数学;理学—数学]
  • 作者机构：[1]厦门大学数学科学学院福建,福建厦门361005
  • 相关基金：国家自然科学基金（10531080）资助
  • 相关项目：无限元方法中转移矩阵的计算
作者： 赖降周|卢琳璋|
关键词： Lanczos双对角化, RITZ值, 调和Ritz值, 正交压缩变换, 精化奇异向量, 精化残量, LBD, Ritz value, harmonic Ritz value, deflation, refined singular vetor, refined residual
中文摘要：

给出一种计算少数几个最小奇异三元组的隐式重新启动精化Lanczos双对角化方法．采用调和Ritz值作为位移，有效地逼近大规模矩阵的小奇异值的奇异三元组．算法用精化残量．精化奇异向量和精化Rayleigh商，同时采取压缩技术压缩掉已经求出的小的奇异三元组．数值实验表明．算法更有效地求解大规模矩阵的小奇异三元组，收敛速度也快．

英文摘要：

An implicitly restarted Lanczos bidigonalization method with refined vector for computing smallest singular triplets is developed. The harmonic Ritz are used as the shift and small singular triplets can be got more efficiently. Refined singular vector,the refined residual, refined Rayleigh equotient and the deflation technique are also used. Numerical experiments had been given to confirm that the algorithm is more efficient and it converges rather fast.

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无限元方法中转移矩阵的计算
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期刊信息
  • 《厦门大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:中华人民共和国教育部
  • 主办单位:厦门大学
  • 主编：谢素原
  • 地址：厦门市思明南路422号厦门大学嘉庚三 817-819室
  • 邮编：361005
  • 邮箱：jxmu@xmu.edu.cn
  • 电话：0592-2180367 2187731
  • 国际标准刊号：ISSN：0438-0479
  • 国内统一刊号：ISSN：35-1070/N
  • 邮发代号:34-8
  • 获奖情况:
  • 多次被评为全国、华东地区、福建省的优秀科技期刊,2001年入选国家新闻出版总署评定的"中国期刊方阵",2003年获国家新闻出版总署颁发的"第二届国家科技...,2006年获国家教育部科技司颁发的"首届中国高校精...
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  • 被引量:16575