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Volumn 43, Issue 1-3, 1997, Pages 315-326

Schur complements and matrix inequalities of Hadamard products

Author keywords

Hadamard product; Principal submatrix; Schur complement

Indexed keywords


EID: 21944457085     PISSN: 03081087     EISSN: None     Source Type: Journal    
DOI: 10.1080/03081089708818531     Document Type: Article
Times cited : (28)

References (11)
  • 1
    • 0001079995 scopus 로고
    • Concavity of certain maps on positive definite matrices and applications to Hadamard products
    • [A] Ando, T. (1979). Concavity of certain maps on positive definite matrices and applications to Hadamard products, Linear Algebra Appl., 26, 203-241.
    • (1979) Linear Algebra Appl. , vol.26 , pp. 203-241
    • Ando, T.1
  • 3
    • 84968518985 scopus 로고
    • Applications of an inequality for the schur complement
    • [H] Haynsworth, E. V. (1970). Applications of an inequality for the schur complement, Proc. Amer. Math. Soc., 24, 512-516.
    • (1970) Proc. Amer. Math. Soc. , vol.24 , pp. 512-516
    • Haynsworth, E.V.1
  • 4
    • 0042570500 scopus 로고    scopus 로고
    • Some results on the Bergstrom and Minkowski inequalities
    • [FM] Fiedler, M. and Markham, T. (1996). Some results on the Bergstrom and Minkowski inequalities. Linear Algebra and Appl., 232, 199-211.
    • (1996) Linear Algebra and Appl. , vol.232 , pp. 199-211
    • Fiedler, M.1    Markham, T.2
  • 5
    • 0004151494 scopus 로고
    • Cambridge University Press, New York
    • [HJ] Horn, R. A. and Johnson, C. R. (1985). Matrix Analysis, Cambridge University Press, New York.
    • (1985) Matrix Analysis
    • Johnson, C.R.1
  • 6
    • 0003068137 scopus 로고
    • The Hadamard product
    • American Mathematical Society, Providence
    • [Ho] Horn, R. A. (1990). The Hadamard product, Proc. Sympos. Appl. Math., 40, American Mathematical Society, Providence.
    • (1990) Proc. Sympos. Appl. Math. , vol.40
    • Horn, R.A.1
  • 9
    • 21844501984 scopus 로고
    • Trace and eignvalue inequalities for ordinary and Hadamard products of positive semidefinite Hermitian matrices
    • [WZ] Wang, B.-Y and Zhang, F. (1995). Trace and eignvalue inequalities for ordinary and Hadamard products of positive semidefinite Hermitian matrices, SIAM J. of Matrix Analysis and Appl., 16, No. 4, 1173-1183.
    • (1995) SIAM J. of Matrix Analysis and Appl. , vol.16 , Issue.4 , pp. 1173-1183
    • Wang, B.-Y.1    Zhang, F.2
  • 10
    • 0348040101 scopus 로고
    • Notes on Hadmard products of matrices
    • [Z] Zhang, F. (1989). Notes on Hadmard products of matrices. Linear and Multilinear Algebra, 25, 237-242.
    • (1989) Linear and Multilinear Algebra , vol.25 , pp. 237-242
    • Zhang, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.