华东师范大学学报(自然科学版) ›› 2006, Vol. 2006 ›› Issue (3): 26-31.

• 数学 统计学 • 上一篇    下一篇

几类广义逆矩阵的若干性质

朱 超, 曹丽琼, 陈果良   

  1. 华东师范大学 数学系, 上海 200062
  • 收稿日期:2004-10-08 修回日期:2005-02-21 出版日期:2006-05-25 发布日期:2006-05-25
  • 通讯作者: 陈果良

Some Properties of Three Kinds of Generalized Inverses(Chinese)

ZHU Chao, CAO Li-qiong, CHEN Guo-liang   

  1. Department of Mathematics East China Normal University, Shanghai 200062, China
  • Received:2004-10-08 Revised:2005-02-21 Online:2006-05-25 Published:2006-05-25
  • Contact: CHEN Guo-liang

摘要： 研究矩阵的{1,3}, {1,4}广义逆和对称L-zero矩阵的广义 Bott-Duffin 逆, 这3种广义逆均在多个领域有广泛应用;得到了它们的新表达式和若干代数性质,并举例说明了它们在最小二乘解和极小问题解中的应用.

关键词: {1, 3}逆, {1, 4}逆, 广义Bott-Duffin逆, L-zero矩阵, {1, 3}逆, {1, 4}逆, 广义Bott-Duffin逆, L-zero矩阵

Abstract: This paper investigated three kinds of widely used generalized inverses of matrices: they are {1,3} and {1,4} inverses, and generalized Bott-Duffin inverse of L-zero matrices. Some new expressions and properties are obtained; and examples are given to illustrate their applications in finding least-square solutions and minimum problem solutions.

Key words: 3} inverse, {1, 4} inverse, generalized Bott-Duffin inverse, L-zero matrices, {1, 3} inverse, {1, 4} inverse, generalized Bott-Duffin inverse, L-zero matrices

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