电子学报 ›› 2019, Vol. 47 ›› Issue (2): 308-313.DOI: 10.3969/j.issn.0372-2112.2019.02.008

• 学术论文 • 上一篇    下一篇

泛延拓矩阵的QR分解

袁晖坪   

  1. 重庆工商大学数学与统计学院, 重庆, 400067;经济社会应用统计重庆市重点实验室, 重庆 400067;电子商务及供应链系统重庆市重点实验室, 重庆 400067
  • 收稿日期:2017-10-09 修回日期:2018-06-11 出版日期:2019-02-25 发布日期:2019-02-25
  • 作者简介:袁晖坪 男,1958年出生,重庆人,重庆工商大学三级教授,硕士生导师,从事矩阵论、数字图像分析、信号处理等研究.E-mail:yhp@ctbu.edu.cn;hpyuan@163.com
  • 基金资助:
    国家自然科学基金(No.11271388);重庆市自然科学基金(No.cstc 2015jcyjA00009)

QR Factorization for Universal Extended Matrix

YUAN Hui-ping   

  1. College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China;Chongqing key Laboratory of Social Economy and Applied Statistics, Chongqing 400067, China;Chongqing Key Laboratory of Electronic Commerce & Supply Chain System, Chongqing 400067, China
  • Received:2017-10-09 Revised:2018-06-11 Online:2019-02-25 Published:2019-02-25

摘要: 考虑泛延拓矩阵的QR分解与广义逆,导出了泛延拓矩阵的QR分解与广义逆的公式,讨论了系统参数估计问题.结果显示所给方法既减少了计算量与存储量,又不会降低数值精度.同时推广和优化了文献[8,9]的研究结果,拓宽了实际应用领域的范围.

关键词: 泛延拓矩阵, QR分解, 广义逆, 信号处理, 参数估计

Abstract: The author studied the QR factorization and generalized inverse of universal extended matrix.and the system parameter estimate is discussed.In addition,the formula of the QR factorization and generalized inverse of universal extended matrix were given.The results show that the algorithm is simple and fast,and it does not reduce the numerical accuracy.Another some results of paper[8,9] are generalized.

Key words: universal extended matrix, QR factorization, generalized inverse, signal processing, parameter estimate

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