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Eigenvalues of Large Matrices
  • ISSN号：1007-4627
  • 期刊名称：《原子核物理评论》
  • 时间：0
  • 分类：O151.21[理学—数学;理学—基础数学]
  • 相关基金：National Natural Science Foundation of China(10575070,10675081);Research Foundation Doctoral Program of Higher Education of China(20060248050);Scientific Research Foundation of Ministry of Education in China for Returned Scholars(NCET-07-0557);Major State Basic Research Development Program of China(2007CB815000)
关键词： EIGENVALUE, LARGE, MATRIX, CORRELATION
中文摘要：

We recently performed a series of improvement on evaluation of eigenvalues without complicated iterations. In this work we first discuss evaluation of the lowest eigenvalue for given systems,by which one conveniently obtains the value of the lowest eigenvalue based on the dimension and width of given matrix. We also discuss a strong correlation between eigenvalues and diagonal matrix elements for large matrices,by which one is able to predict eigenvalues approximately without iterations.

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期刊信息
  • 《原子核物理评论》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国科学院近代物理研究所 中国核物理学会
  • 主编：肖国青
  • 地址：兰州市31号信箱
  • 邮编：730000
  • 邮箱：npr@impcas.ac.cn
  • 电话：0931-4969371/4
  • 国际标准刊号：ISSN：1007-4627
  • 国内统一刊号：ISSN：62-1131/O4
  • 邮发代号:54-183
  • 获奖情况:
  • 2009年1月获甘肃省优秀期刊奖
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:1602