메뉴 건너뛰기




Volumn 103, Issue 1, 1999, Pages 51-68

Limit representations of generalized inverses and related methods

Author keywords

15A09; Drazin inverse; Generalized inverses; Leverrier Faddeev algorithm; Limiting process; Moore Penrose inverse

Indexed keywords


EID: 0038786107     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(98)10048-6     Document Type: Article
Times cited : (32)

References (19)
  • 1
    • 0141533059 scopus 로고
    • On recurent computation of normal solutions of linear algebraic equations (in Russian)
    • Žukovski E.L., Lipcer R.S. On recurent computation of normal solutions of linear algebraic equations (in Russian). Ž. Vicisl. Mat. i Mat. Fiz. 12:1972;843-857.
    • (1972) Ž. Vicisl. Mat. I Mat. Fiz. , vol.12 , pp. 843-857
    • Žukovski, E.L.1    Lipcer, R.S.2
  • 3
    • 0016057769 scopus 로고
    • Limits and the index of a square matrix
    • Meyer C.D. Limits and the index of a square matrix. SIAM J. Appl. Math. 26:1974;469-478.
    • (1974) SIAM J. Appl. Math. , vol.26 , pp. 469-478
    • Meyer, C.D.1
  • 6
    • 38149146172 scopus 로고
    • An alternative limit expression of Drazin inverse and its applications
    • Ji J. An alternative limit expression of Drazin inverse and its applications. Appl. Math. Comput. 61:1994;151-156.
    • (1994) Appl. Math. Comput. , vol.61 , pp. 151-156
    • Ji, J.1
  • 8
    • 0039447778 scopus 로고
    • On matrices of index zero or one
    • Ben-Israel A. On matrices of index zero or one. SIAM J. Appl. Math. 17:1969;1118-1121.
    • (1969) SIAM J. Appl. Math. , vol.17 , pp. 1118-1121
    • Ben-Israel, A.1
  • 10
    • 0010079478 scopus 로고
    • An application of the Cayley-Hamilton theorem to generalized matrix inversion
    • Decel H.P. An application of the Cayley-Hamilton theorem to generalized matrix inversion. SIAM Rev. 7:1965;526-528.
    • (1965) SIAM Rev. , vol.7 , pp. 526-528
    • Decel, H.P.1
  • 11
    • 0038415232 scopus 로고
    • The Souriau-Frame algorithm and the Drazin pseudoinverse
    • Grevile T.N.E. The Souriau-Frame algorithm and the Drazin pseudoinverse. Linear Algebra Appl. 6:1973;205-208.
    • (1973) Linear Algebra Appl. , vol.6 , pp. 205-208
    • Grevile, T.N.E.1
  • 12
    • 0008495637 scopus 로고
    • Generalized inversion of modified matrices
    • Meyer C.D. Generalized inversion of modified matrices. SIAM J. Appl. Math. 24:1973;315-323.
    • (1973) SIAM J. Appl. Math. , vol.24 , pp. 315-323
    • Meyer, C.D.1
  • 14
    • 0038855024 scopus 로고    scopus 로고
    • Generalized inverses and ranks of modified matrices
    • D.A. Harville, Generalized inverses and ranks of modified matrices, J. Ind. Soc. Ag. Statistics 49 (1996-1997) 67-78.
    • (1996) J. Ind. Soc. Ag. Statistics , vol.49 , pp. 67-78
    • Harville, D.A.1
  • 16
    • 0002184156 scopus 로고
    • Some contributions to the inversions of rectangular matrices
    • M. Radić, Some contributions to the inversions of rectangular matrices, Glasnik Matematički 1 (21), 1 (1966) 23-37.
    • (1966) Glasnik Matematički 1 , vol.1 , Issue.21 , pp. 23-37
    • Radić, M.1
  • 18
    • 0001452352 scopus 로고
    • Inverses of rank invariant powers of a matrix
    • Cline R.E. Inverses of rank invariant powers of a matrix. SIAM J. Numer. Anal. 5(1):1968;182-197.
    • (1968) SIAM J. Numer. Anal. , vol.5 , Issue.1 , pp. 182-197
    • Cline, R.E.1
  • 19


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.