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Volumn 136, Issue 2-3, 2003, Pages 475-486

The representation and approximation for the weighted Moore-Penrose inverse in Hilbert space

Author keywords

Approximation; Hilbert space; Moore Penrose inverse; Representation; Weighted Moore Penrose inverse

Indexed keywords

APPROXIMATION THEORY; MATHEMATICAL OPERATORS; PROBLEM SOLVING; SET THEORY; THEOREM PROVING;

EID: 0037443324     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00071-1     Document Type: Article
Times cited : (19)

References (15)
  • 2
    • 22044432226 scopus 로고    scopus 로고
    • Common operator properties of the linear operators RS and SR
    • Barnes B.A. Common operator properties of the linear operators RS and SR. Proc. Am. Math. Soc. 126:1998;1055-1061.
    • (1998) Proc. Am. Math. Soc. , vol.126 , pp. 1055-1061
    • Barnes, B.A.1
  • 3
    • 0001767495 scopus 로고    scopus 로고
    • On the generalized Drazin inverse and generalized resolvent
    • D.S. Djordjevic, P.S. Stanimirovic, On the generalized Drazin inverse and generalized resolvent, Czech. Math. J. 51 (126) (2001) 617-634.
    • (2001) Czech. Math. J. , vol.51 , Issue.126 , pp. 617-634
    • Djordjevic, D.S.1    Stanimirovic, P.S.2
  • 5
    • 0011120580 scopus 로고    scopus 로고
    • Perturbation identities for regularized Tikhonov inverses and weighted pseudoinverse
    • Gulliksson M.E., Wedin P.A., Wei Y. Perturbation identities for regularized Tikhonov inverses and weighted pseudoinverse. BIT. 40:2000;513-523.
    • (2000) BIT , vol.40 , pp. 513-523
    • Gulliksson, M.E.1    Wedin, P.A.2    Wei, Y.3
  • 6
    • 0032371909 scopus 로고    scopus 로고
    • Inverse order rule for weighted generalized inverse
    • Sun W., Wei Y. Inverse order rule for weighted generalized inverse. SIAM J. Matrix Anal. Appl. 19:1998;772-775.
    • (1998) SIAM J. Matrix Anal. Appl. , vol.19 , pp. 772-775
    • Sun, W.1    Wei, Y.2
  • 8
    • 0041713889 scopus 로고    scopus 로고
    • (2) and its applications
    • (2) and its applications Linear Algebra Appl. 280:1998;87-96.
    • (1998) Linear Algebra Appl. , vol.280 , pp. 87-96
    • Wei, Y.1
  • 9
    • 0001778647 scopus 로고    scopus 로고
    • Perturbation bound of singular linear system
    • Wei Y. Perturbation bound of singular linear system. Appl. Math. Comput. 105:1999;211-220.
    • (1999) Appl. Math. Comput. , vol.105 , pp. 211-220
    • Wei, Y.1
  • 10
    • 0034547867 scopus 로고    scopus 로고
    • Recurrent neural networks for computing weighted Moore-Penrose inverse
    • Wei Y. Recurrent neural networks for computing weighted Moore-Penrose inverse. Appl. Math. Comput. 116:2000;279-287.
    • (2000) Appl. Math. Comput. , vol.116 , pp. 279-287
    • Wei, Y.1
  • 12
    • 0034159269 scopus 로고    scopus 로고
    • Expression for the perturbation of weighted Moore-Penrose inverse
    • Wei Y., Wu H. Expression for the perturbation of weighted Moore-Penrose inverse. Comput. Math. Appl. 39:2000;13-18.
    • (2000) Comput. Math. Appl. , vol.39 , pp. 13-18
    • Wei, Y.1    Wu, H.2
  • 13
    • 0035877233 scopus 로고    scopus 로고
    • Perturbation of least squares problem in Hilbert space
    • Wei Y., Chen G. Perturbation of least squares problem in Hilbert space. Appl. Math. Comput. 121:2001;171-177.
    • (2001) Appl. Math. Comput. , vol.121 , pp. 171-177
    • Wei, Y.1    Chen, G.2
  • 14
    • 0035947468 scopus 로고    scopus 로고
    • The representation and approximation for the weighted Moore-Penrose inverse
    • Wei Y., Wu H. The representation and approximation for the weighted Moore-Penrose inverse. Appl. Math. Comput. 121:2001;17-28.
    • (2001) Appl. Math. Comput. , vol.121 , pp. 17-28
    • Wei, Y.1    Wu, H.2
  • 15
    • 0035388865 scopus 로고    scopus 로고
    • Representaion for Moore-Penrose inverse in Hilbert space
    • Wei Y., Ding J. Representaion for Moore-Penrose inverse in Hilbert space. Appl. Math. Lett. 14:2001;599-604.
    • (2001) Appl. Math. Lett. , vol.14 , pp. 599-604
    • Wei, Y.1    Ding, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.