期刊文献+

四分块算子矩阵Drazin逆的表示 被引量:1

On the Representations of the Drazin Inverse 2 × 2 Block Operator Matrices
下载PDF
导出
摘要 本文研究定义于复Banach空间上的四分块算子矩阵的Drazin逆的表示,此问题是1979年S.L.Campbell和C.D.Meyer提出的公开问题.结果表明主要定理是最近的某些研究进展在不同程度的推广,此外还举例说明了结果的有效性. In this paper, we investigate the representation of Drazin inverse of 2 × 2 block operator matrices defined on complex Banach spaces, which is an open problem proposed by S.L. Campbell and C.D. Meyer. It is shown that the main results extend some recent works on this topic. Moreover, an illustrating example is presented to show the effectiveness of our results.
出处 《应用数学》 CSCD 北大核心 2015年第3期490-496,共7页 Mathematica Applicata
基金 国家自然科学基金(11461049 11371185) 内蒙古自治区自然科学基金(2013JQ01 2013ZD01)
关键词 DRAZIN逆 四分块算子矩阵 BANACH空间 Drazin inverse 2 × 2 block operator matrix Banach space
  • 相关文献

参考文献21

  • 1Ben-Israel A, Greville T N E. Generalized Inverses: Theory and Applications [M]. 2nd ed. New York: Springer-Verlag, 2003. 被引量:1
  • 2WANG Guorong, WEI Yimin, QIAO Sartzheng. Generalized Inverses: Theory and Computations [G]//Grad Ser Math. Beijing: Science Press, 2004. 被引量:1
  • 3Campbell S L, Meyer C D. Generalized Inverse of Linear Transformations [M]. New York: Dover, 1991. 被引量:1
  • 4Drazin M P. Pseudoinverse in associative rings and semigroups [J]. Amer. Math. Monthly, 1958, 65(7):506-514. 被引量:1
  • 5Campbell S L, Meryer Jr C D, Rose N J. Applications of the Drazin inverse to linear systems of differential equations with constant coefficients [J]. SIAM J. Appl. Math., 1976, 31(3):411-425. 被引量:1
  • 6Meyer Jr C D, Rose N J. The index and the Drain inverse of block triangular matrices [J]. SIAM J. Appl. Math., 1977, 33(1):1-7. 被引量:1
  • 7Cvetkovid-Ilid D S, CHEN Jianbiao, XU Zhaoling. Explicit representations of the Drazin inverse of block matrix and modified matrix [J]. Linear Multilinear Algebra, 2009, 57(4):355-364. 被引量:1
  • 8GUO Li, DU Xiankun. Representations for the Drazin inverse of 2 x 2 block matrices [J]. Appl. Math. Comput., 2010, 217(6):2833-2842. 被引量:1
  • 9LI Xiezhang, WEI Yimin. A note on representations for the Drazin inverse of representations matrices [J]. Linear Algebra Appl., 2007, 423(2):332-338. 被引量:1
  • 10WEI Yimin. The drazin inverse of a modified matrix [J]. Appl. Math. Comput., 2002, 125(2):295-301. 被引量:1

同被引文献10

  • 1Ben-Israel A, Greville T N E. Generalized Inverse:Theroy and Applications[M]. New York: Spring-Verlag, 2003. 被引量:1
  • 2Wang G R, Wei Y, Qiao S Z. Generalized Inverse : Theory and Computations [M]. Beijing: Science Press, 2004. 被引量:1
  • 3Meyer C D,Shoaf J M. Updating finite Markov chains by using techniques of group inversion[-J]. J Stat Comput Sim, 1980,11 (3) : 163-181. 被引量:1
  • 4Campbell S L,Meyer C D. Generalized Inverse of Linear Transformations[-M]. New York:Dover, 1991. 被引量:1
  • 5Deng C,Wei Y M. A note on the Drazin inverse of an anti-triangular matrix[J]. Linear Algebra Appl, 1956,431 (10) : 1910-1922. 被引量:1
  • 6Cvetkovic A S, Milovanovic G V. On Drazin inverse of operator matrices[-J]. J Math Anal Appl, 2011,375 (1) : 331-335. 被引量:1
  • 7Cvetkovic-Ilic D S. New additive results on Drazin inverse and its applications[-J]. Appl Math Comput ,2011,215 (7) :3019-3024. 被引量:1
  • 8Ljubisavljevic J ,Cvetkovic-Ilic D S. Representations for Drazin inverse of block matrix[J]. J Comput Anal Appl, 2013,15(3) :481-497. 被引量:1
  • 9Caradus S R. Operator Theroy of the Generalized Inverse[M]. Kingston: Queen Papers in Pure and Appl Math, 1974. 被引量:1
  • 10Ge Y L,Zhang H Y,Sheng Y Q. Group inverse for two classes of 2x2 anti-angular block matrices over right Ore domains[J]. J Appl Math Com put , 2013,42(1/2) : 183-191. 被引量:1

引证文献1

二级引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部