메뉴 건너뛰기




Volumn 45, Issue 4, 2005, Pages 841-850

The reverse-order law (AB)† = B†(A†ABB†) †A† and its equivalent equalities

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33744765507     PISSN: 0023608X     EISSN: None     Source Type: Journal    
DOI: 10.1215/kjm/1250281660     Document Type: Article
Times cited : (19)

References (15)
  • 3
    • 12344277666 scopus 로고    scopus 로고
    • Moore-Penrose inverses of products and differences of orthogonal projectors
    • S. Cheng and Y. Tian, Moore-Penrose inverses of products and differences of orthogonal projectors, Acta Sci. Math. (Szeged) 69 (2003), 533-542.
    • (2003) Acta Sci. Math. (Szeged) , vol.69 , pp. 533-542
    • Cheng, S.1    Tian, Y.2
  • 4
    • 85011250006 scopus 로고
    • On pseudoinverses of operator products
    • A. M. Galperin and Z. Waksman, On pseudoinverses of operator products, Linear Algebra Appl. 33 (1980), 123-131.
    • (1980) Linear Algebra Appl. , vol.33 , pp. 123-131
    • Galperin, A.M.1    Waksman, Z.2
  • 5
    • 0043071223 scopus 로고
    • Note on the generalized inverse of a matrix product
    • T. N. E. Greville, Note on the generalized inverse of a matrix product, SIAM Rev. 8 (1966), 518- 521.
    • (1966) SIAM Rev. , vol.8 , pp. 518-521
    • Greville, T.N.E.1
  • 6
    • 84972550037 scopus 로고
    • The product of operators with closed range and an extension of the reverse order law
    • S. Izumino, The product of operators with closed range and an extension of the reverse order law, Tôhoku Math. J. 34 (1982), 43-52.
    • (1982) Tôhoku Math. J. , vol.34 , pp. 43-52
    • Izumino, S.1
  • 8
    • 84947145047 scopus 로고
    • A generalized inverse for matrices
    • R. Penrose, A generalized inverse for matrices, Proc. Cambridge Philos. Soc. 51 (1955), 406-413.
    • (1955) Proc. Cambridge Philos. Soc. , vol.51 , pp. 406-413
    • Penrose, R.1
  • 9
    • 0141905547 scopus 로고    scopus 로고
    • Rank equalities related to outer inverses of matrices
    • Y. Tian, Rank equalities related to outer inverses of matrices, Linear and Multilinear Algebra 49 (2002), 269-288.
    • (2002) Linear and Multilinear Algebra , vol.49 , pp. 269-288
    • Tian, Y.1
  • 10
    • 0142061287 scopus 로고    scopus 로고
    • Reverse order laws for the weighted Moore-Penrose inverse of a triple matrix product with applications
    • _, Reverse order laws for the weighted Moore-Penrose inverse of a triple matrix product with applications, Int. Math. J. 3 (2003), 107-117.
    • (2003) Int. Math. J. , vol.3 , pp. 107-117
  • 11
    • 0141996327 scopus 로고    scopus 로고
    • Using rank formulas to characterize equalities for Moore-Penrose inverses of matrix products
    • _, Using rank formulas to characterize equalities for Moore-Penrose inverses of matrix products, Appl. Math. Comput. 147 (2004), 581-600.
    • (2004) Appl. Math. Comput. , vol.147 , pp. 581-600
  • 12
    • 17844390096 scopus 로고    scopus 로고
    • On mixed-type reverse-order laws for a matrix product
    • _, On mixed-type reverse-order laws for a matrix product, Internat. J. Math. Math. Sci. 58 (2004), 3103-3116.
    • (2004) Internat. J. Math. Math. Sci. , vol.58 , pp. 3103-3116
  • 13
    • 10444252680 scopus 로고    scopus 로고
    • Some identities for Moore-Penrose inverses of matrix products
    • Y. Tian and S. Cheng, Some identities for Moore-Penrose inverses of matrix products, Linear and Multilinear Algebra 52 (2004), 405-420.
    • (2004) Linear and Multilinear Algebra , vol.52 , pp. 405-420
    • Tian, Y.1    Cheng, S.2
  • 14
    • 84951562666 scopus 로고    scopus 로고
    • The equivalence between (AB)† = B†A† and. other mixed-type reverse-order laws
    • in press
    • Y. Tian, The equivalence between (AB)† = B†A† and. other mixed-type reverse-order laws, Internat. J. Math. Edu. Sci. Technol., in press.
    • Internat. J. Math. Edu. Sci. Technol.
    • Tian, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.