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Volumn 198, Issue 1, 2008, Pages 150-162

Weighted UDV*-decomposition and weighted spectral decomposition for rectangular matrices and their applications

Author keywords

Cauchy's formula; Weighted Moore Penrose inverse; Weighted resolvent equation; Weighted spectral decomposition; Weighted UDV* decomposition

Indexed keywords

FUNCTIONS; MATRIX ALGEBRA;

EID: 40149099740     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.08.026     Document Type: Article
Times cited : (10)

References (10)
  • 2
    • 0038035024 scopus 로고    scopus 로고
    • Condition numbers and perturbation of the weighted Moore-Penrose inverse and weighted linear least squares problem
    • Wei Y.M., and Wang D.K. Condition numbers and perturbation of the weighted Moore-Penrose inverse and weighted linear least squares problem. Appl. Math. Comput. 145 (2003) 45-58
    • (2003) Appl. Math. Comput. , vol.145 , pp. 45-58
    • Wei, Y.M.1    Wang, D.K.2
  • 3
    • 4344612912 scopus 로고    scopus 로고
    • Some topics on weighted Moore-Penrose inverse, weighted least squares and weighted regularized Tikhonov problems
    • Wang D.K. Some topics on weighted Moore-Penrose inverse, weighted least squares and weighted regularized Tikhonov problems. Appl. Math. Comput. 157 (2004) 243-267
    • (2004) Appl. Math. Comput. , vol.157 , pp. 243-267
    • Wang, D.K.1
  • 5
    • 0016926423 scopus 로고
    • Generalizing the singular value decomposition
    • Van Loan C.F. Generalizing the singular value decomposition. SIAM J. Number. Anal. 13 (1976) 76-83
    • (1976) SIAM J. Number. Anal. , vol.13 , pp. 76-83
    • Van Loan, C.F.1
  • 8
    • 40149110450 scopus 로고    scopus 로고
    • On weighted partially isometric matrices
    • (in Chinese)
    • Liu X.J., and He H. On weighted partially isometric matrices. J. Univ. Sci. Technol. Suzhou (Nat. Sci.) 20 (2003) 22-24 (in Chinese)
    • (2003) J. Univ. Sci. Technol. Suzhou (Nat. Sci.) , vol.20 , pp. 22-24
    • Liu, X.J.1    He, H.2
  • 9
    • 40149087955 scopus 로고    scopus 로고
    • H. Yang, H.Y. Li, Weighted polar decomposition, submitted for publication.
    • H. Yang, H.Y. Li, Weighted polar decomposition, submitted for publication.
  • 10
    • 40149099425 scopus 로고    scopus 로고
    • H. Yang, H.Y. Li, Weighted polar decomposition and WGL partial ordering of rectangular complex matrices, submitted for publication.
    • H. Yang, H.Y. Li, Weighted polar decomposition and WGL partial ordering of rectangular complex matrices, submitted for publication.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.