求Hankel矩阵的逆矩阵的快速算法

  • 杨小锋 ,
  • 徐仲 ,
  • 陆全
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  • 1.西北农林科技大学,理学院,陕西,杨凌,712100; 2.西北工业大学,应用数学系,陕西,西安,710072

网络出版日期: 2010-05-25

基金资助

陕西省自然科学基金,西北农林科技大学人才基金

New Fast Algorithm for the Inversion of Hankel Matrix

  • YANG Xiao-feng ,
  • XU Zhong ,
  • LU Quan
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Online published: 2010-05-25

摘要

利用Hankel矩阵的位移性质,得到了矩阵为Hankel矩阵的充要条件.从该充要条件出发,得到了求Hankel矩阵之逆矩阵的快速算法,计算复杂度为O(n2),而一般n阶矩阵求逆的复杂度为O(n3).

本文引用格式

杨小锋 , 徐仲 , 陆全 . 求Hankel矩阵的逆矩阵的快速算法[J]. 河北大学学报(自然科学版), 2010 , 30(3) : 242 -246 . DOI: 10.3969/j.issn.1000-1565.2010.03.005

参考文献

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