[1]袁玩贵,廖祖华,邵益新,等.权为可逆阵的加权广义逆矩阵的几个恒等式[J].南京师范大学学报(自然科学版),2010,33(03):22-25.
 Yuan Wangui,Liao Zuhua,Shao Yixin.Some Identities of Generalized Inverses of Matrix With Invertible Weights[J].Journal of Nanjing Normal University(Natural Science Edition),2010,33(03):22-25.
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权为可逆阵的加权广义逆矩阵的几个恒等式()
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《南京师范大学学报》(自然科学版)[ISSN:1001-4616/CN:32-1239/N]

卷:
第33卷
期数:
2010年03期
页码:
22-25
栏目:
数学
出版日期:
2010-09-20

文章信息/Info

Title:
Some Identities of Generalized Inverses of Matrix With Invertible Weights
作者:
袁玩贵;廖祖华;邵益新;
江南大学理学院, 江苏无锡214122
Author(s):
Yuan WanguiLiao ZuhuaShao Yixin
Science of Southern Yangtze University,Wuxi 214122,China
关键词:
广义逆 加权广义逆 矩阵乘积
Keywords:
gene ra lized inve rse w eighted genera lized inverse m atrix product
分类号:
O151.21
摘要:
研究了在权矩阵M,N可逆的条件下加权广义逆的几个恒等式.
Abstract:
In this paper, som e identities are estab lished fo r the w eigh ted genera lized inverses of the m atr ix product, where the we ights are inve rtible.

参考文献/References:

[ 1] Ad i Ben- Israe,l Thomas N E Grev ille. Generalized Inverses Theory and Applica tions[M ]. 2nd ed. New Yo rk: Springer-Verlag, 2003.
[ 2] 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.
[ 3] W ang Guorong, Zheng B ing. The reverse order law for the g eneralized inverseA2 T, S [ J] . AppliedM athem atics and Computation, 2004, 157( 2): 295-305.
[ 4] M edhat A Rakha. On theMoo re-penrose gene ra lized inve rsem atrix [ J]. App liedM a them atics and C om putation, 2004, 158 ( 1) : 185-200.
[ 5] SunW enyu, W e iY im in. Triple reve rse-o rder law forw e ighted genera lized inv erses[ J]. AppliedM a them a tics and Computation, 2002, 125( 2 /3): 221-229.
[ 6] T ian Yongge, Cheng Shizhen. Som e iden tities form oore-penrose inve rses of m atr ix products[ J]. L inear andMu ltilinear A-l gebra, 2004, 52( 6): 405-420.
[ 7] Campbe ll S L, M eyer Jr C D. Genera lized inverses of linear transforma tions, corrected repr int of the 1979 o rig inal[M ] . New York: Dover Publica tions Inc, 1991.
[ 8] YuanW angu,i Liao Zuhua. The genera lized m oore-penrose inverses o fm atr ices over rings[ C ] / / The Proceed ings of the Seventh Internationa l Confe rence onM atr ix Theo ry and App lications. Liverpoo:l Wo rld Academ icUn ion, 2006: 289-292.

相似文献/References:

[1]吴大伟,张永康.关于广义逆的唯一性问题[J].南京师范大学学报(自然科学版),2001,24(04):16.
 Wu Dawei,Zhang Yongkang.About the Uniqueness of Generalized Inverses of Matrices[J].Journal of Nanjing Normal University(Natural Science Edition),2001,24(03):16.

备注/Memo

备注/Memo:
基金项目: 江南大学青年基金( 312000 - 52210699 ) . 通讯联系人: 袁玩贵, 硕士, 讲师, 研究方向: 代数. E-m ail:ywg-602@ 163. com
更新日期/Last Update: 2013-04-08