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Volumn 416, Issue 2-3, 2006, Pages 437-451

The Q-property of composite transformations and the P-property of Stein-type transformations on self-dual and symmetric cones

Author keywords

Cone linear complementarity problem; Euclidean Jordan algebra; Q and P properties; Self dual cone; Symmetric cone

Indexed keywords

FUNCTION EVALUATION; LINEAR PROGRAMMING; MATRIX ALGEBRA; PROBLEM SOLVING;

EID: 33646948054     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2005.11.021     Document Type: Article
Times cited : (4)

References (20)
  • 1
    • 33646923328 scopus 로고    scopus 로고
    • R. Balaji, On semidefinite linear complementarity problems, Ph.D. Thesis, Indian Institute of Technology-Madras, Chennai, India, December 2004.
  • 7
    • 0000803454 scopus 로고
    • On matrices with non-positive off-diagonal elements and positive principal minors
    • Fiedler M., and Pták V. On matrices with non-positive off-diagonal elements and positive principal minors. Czechoslovak Math. J. 12 (1962) 382-400
    • (1962) Czechoslovak Math. J. , vol.12 , pp. 382-400
    • Fiedler, M.1    Pták, V.2
  • 8
    • 0034356518 scopus 로고    scopus 로고
    • Complementarity forms of the theorems of Lyapunov and Stein, and related results
    • Gowda M.S., and Parthasarathy T. Complementarity forms of the theorems of Lyapunov and Stein, and related results. Linear Algebra Appl. 320 (2000) 131-144
    • (2000) Linear Algebra Appl. , vol.320 , pp. 131-144
    • Gowda, M.S.1    Parthasarathy, T.2
  • 9
    • 0013349755 scopus 로고    scopus 로고
    • On semidefinite linear complementarity problems
    • Gowda M.S., and Song Y. On semidefinite linear complementarity problems. Math. Prog. 88 (2000) 575-587
    • (2000) Math. Prog. , vol.88 , pp. 575-587
    • Gowda, M.S.1    Song, Y.2
  • 10
    • 0037281567 scopus 로고    scopus 로고
    • Some new results for the semidefinite linear complementarity problem
    • Gowda M.S., and Song Y. Some new results for the semidefinite linear complementarity problem. SIAM J. Matrix Anal. Appl. 24 (2002) 25-39
    • (2002) SIAM J. Matrix Anal. Appl. , vol.24 , pp. 25-39
    • Gowda, M.S.1    Song, Y.2
  • 11
    • 33646909820 scopus 로고    scopus 로고
    • M.S. Gowda, R. Sznajder, Automorphism invariance of P and GUS properties of linear transformations on Euclidean Jordan algebras, Math. Oper. Res., in press.
  • 12
    • 7444231047 scopus 로고    scopus 로고
    • Some P-properties for linear transformations on Euclidean Jordan algebras
    • Gowda M.S., Sznajder R., and Tao J. Some P-properties for linear transformations on Euclidean Jordan algebras. Linear Algebra Appl. 393 (2004) 203-232
    • (2004) Linear Algebra Appl. , vol.393 , pp. 203-232
    • Gowda, M.S.1    Sznajder, R.2    Tao, J.3
  • 13
    • 0009472042 scopus 로고
    • On the cone of positive semidefinite matrices
    • Hill R.D., and Waters S.R. On the cone of positive semidefinite matrices. Linear Algebra Appl. 90 (1987) 81-88
    • (1987) Linear Algebra Appl. , vol.90 , pp. 81-88
    • Hill, R.D.1    Waters, S.R.2
  • 15
    • 33646902588 scopus 로고    scopus 로고
    • G. Isac, S.Z. Németh, Linear complementarity problems and matrix factorization, Research Report, Department of Mathematics and Computer Science, Royal Military College of Canada, Kingston, Ont., Canada, February 2005.
  • 16
    • 0000510123 scopus 로고
    • An existence theorem for the complementarity problem
    • Karamardian S. An existence theorem for the complementarity problem. J. Optim. Theory Appl. 19 (1976) 227-232
    • (1976) J. Optim. Theory Appl. , vol.19 , pp. 227-232
    • Karamardian, S.1
  • 17
    • 0642296091 scopus 로고
    • Positive operators and an inertia theorem
    • Schneider H. Positive operators and an inertia theorem. Numer. Math. 7 (1965) 11-17
    • (1965) Numer. Math. , vol.7 , pp. 11-17
    • Schneider, H.1
  • 18
    • 7444236751 scopus 로고    scopus 로고
    • Extension of primal-dual interior point algorithms to symmetric cones
    • Schmieta S.H., and Alizadeh F. Extension of primal-dual interior point algorithms to symmetric cones. Math. Prog. Series A 96 (2003) 409-438
    • (2003) Math. Prog. Series A , vol.96 , pp. 409-438
    • Schmieta, S.H.1    Alizadeh, F.2
  • 19
    • 0013393673 scopus 로고
    • Some general theorems on iterants
    • Stein P. Some general theorems on iterants. J. Res. Natl. Bur. Standards 48 (1952) 82-83
    • (1952) J. Res. Natl. Bur. Standards , vol.48 , pp. 82-83
    • Stein, P.1
  • 20
    • 21244456109 scopus 로고    scopus 로고
    • Geometry of homogeneous convex cones, duality mapping, and optimal self-concordant barriers
    • Truong V.A., and Tunce ̧l L. Geometry of homogeneous convex cones, duality mapping, and optimal self-concordant barriers. Math. Prog. Series A 100 (2004) 295-316
    • (2004) Math. Prog. Series A , vol.100 , pp. 295-316
    • Truong, V.A.1    Tunce ̧l, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.