一类反三角矩阵群逆存性理论的研究
Study on the Inverse Existence Theory of a Class of Anti-Triangular Matrix Groups
摘要
通过构造子块矩阵之间的相容性,结合矩阵投影和初等分解性质,结果给出一类反三角矩阵(AA(1)+B(1)B A B 0)群逆存在性定理和具体表达式。
作者
朱文君
余新宏
吴春蕾
ZHU Wenjun;YU Xinghong;WU Chunlei
出处
《北部湾大学学报》
2023年第4期26-30,共5页
Journal of BeiBu Gulf University
基金
安徽省自然科学重点研究项目(KJ2021A1222)。
二级参考文献9
-
1CAMPBELL S L. The Drazin inverse and systems of second order linear differential equations [ J ]. Linear Multilinear Algebra, 1983, 14(2): 195-198.
-
2CAMPBELL S L, MERYER C D. Generalized inverses of Linear transformations [ M ]. NewYork: Dover Publications, 1991:36-87.
-
3HARTWIG R , LI X, WEI Y. Representations for the Dra-zin inverse of 2 x 2 block matrix [ J ]. SIAM Journal on Ma- trix Analysis and Applications, 2006, 27 (3) : 757-771.
-
4BU Changjiang, FENG Chengcheng, BAI Shuyan. Represen- tations for the Drazin inverses of the sum of two matrices and some block matrices [ J ]. Applied Mathematics and Compu- tation, 2012, 218(20): 10226-10237.
-
5BU Changjiang,ZHAO Jiemei,ZI-IENG Jinshan. Group inverse for a class 2 x2 block matrices over skew fidds [ J]. Applied Mathematics and Computation, 2008, 204( 1 ) :45-49.
-
6BU Changjiang,ZHAO Jiemei,ZHANG Kuize. Some results on group inverses of block matrices over skew fields [ J ]. E- lectron. J. Linear Algebra, 2009, 18(2): 117-125.
-
7BU Changjiang,ZHANG Kuize,ZHAO Jiemei. Some results on the group inverse of the block matrix with a subblock of linear combination or product combination of matrices over skew fields [J]. Linear Muhilinear Algebra, 2010, 58 (8) : 957-966.
-
8CAO Chongguang, LI Jiamei. A note on the group inverse of some 2 x 2 block matrices over skew fields [ J ]. Applied Mathematics and Computation, 2011, 217 (24): 10271- 10277.
-
9曹重光.体上分块矩阵群逆的某些结果[J].黑龙江大学自然科学学报,2001,18(3):5-7. 被引量:33
-
1周心悦,陈焕艮.有两个相同元素的算子矩阵p群逆[J].杭州师范大学学报(自然科学版),2023,22(4):432-437.
-
2朱文君,余新宏,周帅,张荣.一类分块矩阵群逆存在性理论及表达式的研究[J].河西学院学报,2023,39(2):19-24.
-
3韩凯利,李扬荣.随机格板方程的后向紧随机吸引子[J].西南师范大学学报(自然科学版),2023,48(7):60-66.
-
4毛浪,杨彦龙.对粗糙集上的不完全信息非合作博弈的均衡分析[J].西南师范大学学报(自然科学版),2023,48(7):95-100.
-
5尹维坤.对康德先验范畴的修正与辩护[J].德国哲学,2022(2):3-21.
-
6张琳,李扬荣.随机Zakharov格点方程的后向紧随机吸引子[J].西南师范大学学报(自然科学版),2023,48(7):53-59.
-
7董平川,董浙,姜海益.k-素数和唯一分解[J].数学年刊(A辑),2023,44(2):211-224.