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反五对角与拟反五对角方程组的追赶法
  • ISSN号：0255-7797
  • 期刊名称：《数学杂志》
  • 时间：0
  • 分类：O241.6[理学—计算数学;理学—数学]
  • 作者机构：[1]湖州师范学院理学院,浙江湖州313000
  • 相关基金：国家自然科学基金（11071079）;浙江省自然科学基金（Y6110043）;校教研重点项目（GJBll007）及国家特色专业建设点“数学与应用数学”.
作者： 倪有义, 蔡静[1]
关键词： 反对角线性方程组, 追赶法, LU分解, anti-diagonal linear equations, chase-after method, LU decomposition
中文摘要：

本文研究了反五对角和拟五对角线性方程组的求解问题．利用矩阵分解方法以及将系数矩阵A分解成三个简单矩阵的乘积A=LUD，获得了反五对角线性方程组以及拟反五对角线性方程组的追赶法，从而推广了对角型线性方程组追赶法．

英文摘要：

In this paper, the problem of solving the anti-pentadiagonal and quasi anti- pentadiagonal linear equation is discussed, respectively. By using matrix decomposition method and decomposing the coefficient matrix A into the product of three simple matrix A = LUD, we deduce the chase-after methods of anti-pentadiagonal linear equations and quasi anti-pentadiagonal linear equations, which generalize the ones of diagonal linear equation.

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期刊信息
  • 《数学杂志》
  • 北大核心期刊（2011版）
  • 主管单位:中华人民共和国教育部
  • 主办单位:武汉大学 湖北省数学学会 武汉数学学会
  • 主编：陈化
  • 地址：湖北武汉大学
  • 邮编：430072
  • 邮箱：jmath@whu.edu.cn
  • 电话：027-68754687
  • 国际标准刊号：ISSN：0255-7797
  • 国内统一刊号：ISSN：42-1163/O1
  • 邮发代号:38-71
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,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:3910