메뉴 건너뛰기




Volumn 32, Issue 2, 2007, Pages 395-412

On the closedness of the linear image of a closed convex cone

Author keywords

Closed convex cone; Closedness; Common root of Slater's condition and polyhedrality; Duality; Linear image; Sum of closed convex cones

Indexed keywords

CLOSED CONVEX CONES; SUM OF CLOSED CONVEX CONES;

EID: 38549138427     PISSN: 0364765X     EISSN: 15265471     Source Type: Journal    
DOI: 10.1287/moor.1060.0242     Document Type: Article
Times cited : (62)

References (25)
  • 1
    • 0031141136 scopus 로고    scopus 로고
    • Complementarity and nondegeneracy in semidefinite programming
    • Alizadeh, F., J.-P. Haeberly, M. L. Overton. 1997. Complementarity and nondegeneracy in semidefinite programming. Math. Program. 77 111-128.
    • (1997) Math. Program , vol.77 , pp. 111-128
    • Alizadeh, F.1    Haeberly, J.-P.2    Overton, M.L.3
  • 2
    • 5244340036 scopus 로고    scopus 로고
    • Closedness criteria for the image of a closed set by a linear operator
    • Auslender, A. 1996. Closedness criteria for the image of a closed set by a linear operator. Numer. Funct. Anal. Optim. 17 503-515.
    • (1996) Numer. Funct. Anal. Optim , vol.17 , pp. 503-515
    • Auslender, A.1
  • 3
    • 0010832142 scopus 로고
    • The lattice of faces of a finite dimensional cone
    • Barker, G. P. 1973. The lattice of faces of a finite dimensional cone. Linear Algebra Appl. 7 71-82.
    • (1973) Linear Algebra Appl , vol.7 , pp. 71-82
    • Barker, G.P.1
  • 4
    • 84918384116 scopus 로고
    • Faces and duality in convex cones
    • Barker, G. P. 1977. Faces and duality in convex cones. Linear Multilinear Algebra 6 161-169.
    • (1977) Linear Multilinear Algebra , vol.6 , pp. 161-169
    • Barker, G.P.1
  • 6
    • 0003008848 scopus 로고
    • Cones of diagonally dominant matrices
    • Barker, G. P., D. D. Carlson. 1975. Cones of diagonally dominant matrices. Pacific J. Math. 57 15-32.
    • (1975) Pacific J. Math , vol.57 , pp. 15-32
    • Barker, G.P.1    Carlson, D.D.2
  • 7
    • 25644453713 scopus 로고    scopus 로고
    • Conical open mapping theorems and regularity
    • Australian National University, Canberra, Australia
    • Bauschke, H., J. M. Borwein. 1999. Conical open mapping theorems and regularity. Proc. Centre for Math. Its Appl., 36. Australian National University, Canberra, Australia, 1-10.
    • (1999) Proc. Centre for Math. Its Appl , vol.36 , pp. 1-10
    • Bauschke, H.1    Borwein, J.M.2
  • 11
    • 0019621473 scopus 로고
    • Regularizing the abstract convex program
    • Borwein, J. M., H. Wolkowicz. 1981. Regularizing the abstract convex program. J. Math. Anal. Appl. 83 495-530.
    • (1981) J. Math. Anal. Appl , vol.83 , pp. 495-530
    • Borwein, J.M.1    Wolkowicz, H.2
  • 13
    • 0002432995 scopus 로고
    • Infinite programs
    • A. W. Tucker, ed, Princeton University Press, Princeton, NJ
    • Duffin, R. J. 1956. Infinite programs. A. W. Tucker, ed. Linear Equalities and Related Systems. Princeton University Press, Princeton, NJ, 157-170.
    • (1956) Linear Equalities and Related Systems , pp. 157-170
    • Duffin, R.J.1
  • 14
    • 0042369367 scopus 로고
    • Duality in semi-infinite linear programming
    • Semi-Infinite Programming and Applications Austin, TX, Springer, Berlin, Germany
    • Duffin, R. J., R. G. Jeroslow, L. A. Karlovitz. 1983. Duality in semi-infinite linear programming. Semi-Infinite Programming and Applications (Austin, TX, 1981). Lecture Notes in Econom. and Math. Systems, Vol. 215. Springer, Berlin, Germany, 50-62.
    • (1981) Lecture Notes in Econom. and Math. Systems , vol.215 , pp. 50-62
    • Duffin, R.J.1    Jeroslow, R.G.2    Karlovitz, L.A.3
  • 17
    • 38549174392 scopus 로고    scopus 로고
    • A partial characterization of nice cones
    • Submitted
    • Pataki, G. A partial characterization of nice cones. Submitted.
    • Pataki, G.1
  • 18
    • 0242711183 scopus 로고    scopus 로고
    • The geometry of semidefinite programming
    • R. Saigal, L. Vandenberghe, H. Wolkowicz, eds, Kluwer Academic Publishers, Waterloo, Ontario, Canada
    • Pataki, G. 2000. The geometry of semidefinite programming. R. Saigal, L. Vandenberghe, H. Wolkowicz, eds. Handbook of Semidefinite Programming. Kluwer Academic Publishers, Waterloo, Ontario, Canada.
    • (2000) Handbook of Semidefinite Programming
    • Pataki, G.1
  • 19
    • 0031146175 scopus 로고    scopus 로고
    • An exact duality theory for semidefinite programming and its complexity implications
    • Ramana, M. V. 1997. An exact duality theory for semidefinite programming and its complexity implications. Math. Program. 77 129-162.
    • (1997) Math. Program , vol.77 , pp. 129-162
    • Ramana, M.V.1
  • 20
    • 0031285890 scopus 로고    scopus 로고
    • Strong duality for semidefinite programming
    • Ramana, M., L. Tuncel, H. Wolkowicz. 1997. Strong duality for semidefinite programming. SIAM J. Optim. 7(3) 641-662.
    • (1997) SIAM J. Optim , vol.7 , Issue.3 , pp. 641-662
    • Ramana, M.1    Tuncel, L.2    Wolkowicz, H.3
  • 22
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, NJ
    • Rockafellar, R. T. 1970. Convex Analysis. Princeton University Press, Princeton, NJ.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 24
    • 0040165708 scopus 로고
    • On the duality operator of a convex cone
    • Tam, B.-S. 1985. On the duality operator of a convex cone. Linear Algebra Appl. 64 33-56.
    • (1985) Linear Algebra Appl , vol.64 , pp. 33-56
    • Tam, B.-S.1
  • 25
    • 38549164473 scopus 로고
    • On point classification in convex sets
    • Waksman, Z., M. Epelman. 1976. On point classification in convex sets. Math. Scand. 38 83-96.
    • (1976) Math. Scand , vol.38 , pp. 83-96
    • Waksman, Z.1    Epelman, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.