|Table of Contents|

Finite Algorithms for Computing Weighted Group Inverses of Rectangular Matrices

《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2011年01期
Page:
39-42
Research Field:
数学
Publishing date:

Info

Title:
Finite Algorithms for Computing Weighted Group Inverses of Rectangular Matrices
Author(s):
Hu ZhenyingChen XinZhang Hongchao
School of Mathematical Sciences,Nanjing Normal University,Nanjing 210097,China
Keywords:
rectangularm atrix w eigh ted group inve rse finite a lgo rithm
PACS:
O151.21
DOI:
-
Abstract:
The fin ite algorithm s fo r com puting w e ighted g roup inv erses o f rectangu lar ma tr ices wh ich is defined respectively by Cen and C line and G rev ille a re discussed. A lso, three num er ica l ex am ples about finite a lgo rithm s are g iv en.

References:

[ 1]岑建苗. 关于长方矩阵的加权群逆的存在性[ J]. 计算数学, 2007, 29( 1): 39-48.
[ 2]C line R E, G rev illeT N E. A Dra zin inve rse for rectangular ma trices[ J]. L inearA lgebra App,l 1980, 29: 53-62.
[ 3]陈永林. 长方矩阵的加权群逆的存在条件与表示[ J]. 南京师大学报: 自然科学版, 2008, 31( 3): 1-5.
[ 4]Sheng X P, Chen G L. The computation and perurba tion ana lysis for w e ighted g roup inverse of rec tangu larm atrices[ J]. J ApplM ath Comput, 2009, 31: 33-43.
[ 5]Ben-Israe lA, Grev ille T N E. Generalized Inv erses: Theory and App lications[M ]. 2nd ed. N ew York: Springer, 2003.
[ 6]陈永林. 广义逆矩阵的理论与方法[M ]. 南京: 南京师范大学出版社, 2005.
[ 7]陈永林. 计算常用广义逆的一类统一的迭代法[ J]. 高校应用数学学报, 1995, 10( 1): 50-56.

Memo

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Last Update: 2013-04-11