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Revisitation of the Core Inverse 被引量:2

Revisitation of the Core Inverse
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摘要 In this paper, we revisit the core inverse introduced by Baksalary and Trenkler. We first give some new characterizations of the core inverse. Then, we give a new representation of the core inverse, which is related to AT,S^(2). In this paper, we revisit the core inverse introduced by Baksalary and Trenkler. We first give some new characterizations of the core inverse. Then, we give a new representation of the core inverse, which is related to AT,S^(2).
出处 《Wuhan University Journal of Natural Sciences》 CAS CSCD 2015年第5期381-385,共5页 武汉大学学报(自然科学英文版)
基金 Supported by the National Natural Science Foundation of China(11271105) the Key Research Project of Educational Department of Hubei Province(D20122202) Youth Research Project of Educational Department of Hubei Province(B20122203)
关键词 core inverse Moore-Penrose inverse group inverse generalized inverse core inverse Moore-Penrose inverse group inverse generalized inverse
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参考文献15

  • 1Baksalary O M, Trenkler G. Revisitation of the product of two orthogonal projectors [J]. Linear Algebra Appl, 2009, 430: 2813-2833.
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  • 6Wang H, Liu X. Characterizations of the core inverse and the core partial ordering [J]. Linear Multilinear Algebra, 2015, 63(9): 1829-1836.
  • 7Luo G J, Zuo K Z, Zhou L. The new proterties of core in- verse of matrices [J]. Journal of Shandong University, 2015, (4): 90-94(Ch).
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  • 9Malik S B, Rueda L,Thome N. Further properties on core partial order and other matrix partial orders [J]. Linear Mul- tilinearAlgebra, 2014, 62: 1629-1648.
  • 10Rakid D S, Din~id N C, Djordjevid D S. Core inverse and core partial order of Hilbert space operators [J]. Appl Math Comput, 2014, 244: 283-302.

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