메뉴 건너뛰기




Volumn 21, Issue 4, 1996, Pages 860-885

Barrier functions in interior point methods

Author keywords

Automorphism group of a cone; Barrier functions; Characteristic function; Convex cones; Duality mapping; Homogeneous cones; Homogeneous self dual cones; Interior point methods; Self concordance

Indexed keywords

COMPUTATIONAL METHODS; INVARIANCE; MATHEMATICAL MODELS; NONLINEAR PROGRAMMING;

EID: 0030283019     PISSN: 0364765X     EISSN: None     Source Type: Journal    
DOI: 10.1287/moor.21.4.860     Document Type: Article
Times cited : (158)

References (34)
  • 2
    • 0040206856 scopus 로고
    • Partition functions in optimization and computational problems
    • Barvinok, A. B. (1992). Partition functions in optimization and computational problems. St. Petersburg Math. J. 4 1-49.
    • (1992) St. Petersburg Math. J. , vol.4 , pp. 1-49
    • Barvinok, A.B.1
  • 3
    • 52449141029 scopus 로고
    • Domaines bornés homogènes de l'espace de n variables complexes
    • Cartan, E (1935). Domaines bornés homogènes de l'espace de n variables complexes. Abh. Math. Sem. Univ. Hamburg 11 116-162.
    • (1935) Abh. Math. Sem. Univ. Hamburg , vol.11 , pp. 116-162
    • Cartan, E.1
  • 4
    • 84967710278 scopus 로고
    • Inductive construction of homogeneous cones
    • Dorfmeister, J. (1979a). Inductive construction of homogeneous cones. Trans. Amer. Math. Soc. 252 321-349.
    • (1979) Trans. Amer. Math. Soc. , vol.252 , pp. 321-349
    • Dorfmeister, J.1
  • 5
    • 84968466683 scopus 로고
    • Algebraic description of homogeneous cones
    • _ (1979b). Algebraic description of homogeneous cones. Trans. Amer. Math. Soc. 255 61-89.
    • (1979) Trans. Amer. Math. Soc. , vol.255 , pp. 61-89
  • 6
    • 84972507020 scopus 로고
    • Homogeneous Siegel domains
    • _ (1982). Homogeneous Siegel domains. Nagoya Math. J. 86 39-83.
    • (1982) Nagoya Math. J. , vol.86 , pp. 39-83
  • 10
    • 0002906597 scopus 로고
    • Analysis in homogeneous domains
    • Gindikin, S. G. (1964). Analysis in homogeneous domains. Russian Math. Surveys 19 1-89.
    • (1964) Russian Math. Surveys , vol.19 , pp. 1-89
    • Gindikin, S.G.1
  • 11
    • 0039722396 scopus 로고
    • Tube Domains and the Cauchy Problem
    • Amer. Math. Soc., Providence, RI
    • _ (1992). Tube Domains and the Cauchy Problem. Transl. Math. Monographs, Vol. 11, Amer. Math. Soc., Providence, RI.
    • (1992) Transl. Math. Monographs , vol.11
  • 12
    • 85033838377 scopus 로고
    • Technical Report TR95-40, Nov. 1995, Dept. of Math, and Statistics, University of Maryland, Baltimore County, Baltimore, Maryland. (Revised May 1996.)
    • Güler, O. (1995). Hyperbolic polynomials and interior-point methods for convex programming. Technical Report TR95-40, Nov. 1995, Dept. of Math, and Statistics, University of Maryland, Baltimore County, Baltimore, Maryland. (Revised May 1996.)
    • (1995) Hyperbolic Polynomials and Interior-point Methods for Convex Programming
    • Güler, O.1
  • 13
    • 5744223524 scopus 로고
    • Research Report CORR 95-14, Department of Combinatorics and Optimization, Faculty of Mathematics, University of Waterloo, Waterloo, Ontario, Canada
    • _ and L. Tunçel (1995). Characterization of the barrier parameter of homogeneous convex cones, Research Report CORR 95-14, Department of Combinatorics and Optimization, Faculty of Mathematics, University of Waterloo, Waterloo, Ontario, Canada.
    • (1995) Characterization of the Barrier Parameter of Homogeneous Convex Cones
    • Tunçel, L.1
  • 14
    • 0010553390 scopus 로고
    • Positivitätbereiche und Jordan-Strukturen
    • Hertneck, C. (1962). Positivitätbereiche und Jordan-Strukturen. Math. Ann. 146 433-455.
    • (1962) Math. Ann. , vol.146 , pp. 433-455
    • Hertneck, C.1
  • 15
    • 0003306028 scopus 로고
    • Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains
    • Amer. Math. Soc., Providence, RI
    • Hua, L. K. (1963). Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains. Transi. Math. Monographs, Amer. Math. Soc., Providence, RI.
    • (1963) Transi. Math. Monographs
    • Hua, L.K.1
  • 16
    • 0002266897 scopus 로고
    • On an algebraic generalization of the quantum mechanical formalism
    • Jordan, P., J. von Neumann and E. Wigner (1934). On an algebraic generalization of the quantum mechanical formalism. Ann. of Math. 35 29-64.
    • (1934) Ann. of Math. , vol.35 , pp. 29-64
    • Jordan, P.1    Von Neumann, J.2    Wigner, E.3
  • 17
    • 51249181779 scopus 로고
    • A new polynomial-time algorithm for linear programming
    • Karmarkar, N. (1984). A new polynomial-time algorithm for linear programming. Combinatorica 4 373-395.
    • (1984) Combinatorica , vol.4 , pp. 373-395
    • Karmarkar, N.1
  • 19
    • 0013200088 scopus 로고
    • Lecture Notes, Department of Mathematics, University of Minnesota, Minneapolis, MN
    • _ (1962). Jordan Algebras and Their Applications, Lecture Notes, Department of Mathematics, University of Minnesota, Minneapolis, MN.
    • (1962) Jordan Algebras and Their Applications
  • 22
    • 5744221661 scopus 로고
    • A lemma on open convex cones
    • Ochiai, T. (1966). A lemma on open convex cones. J. Fac. Sci. Univ. Tokyo 12 231-234.
    • (1966) J. Fac. Sci. Univ. Tokyo , vol.12 , pp. 231-234
    • Ochiai, T.1
  • 25
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, New Jersey
    • Rockafellar, R. T. (1970). Convex Analysis, Princeton University Press, Princeton, New Jersey.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 27
    • 0039130017 scopus 로고
    • The construction of homogeneous convex cones
    • _ (1966). The construction of homogeneous convex cones. Ann. of Math. 83 358-376.
    • (1966) Ann. of Math. , vol.83 , pp. 358-376
  • 33
    • 0001517245 scopus 로고
    • The theory of homogeneous convex cones
    • _ (1963). The theory of homogeneous convex cones. Trans. Moscow Math. Soc. 12 340-403.
    • (1963) Trans. Moscow Math. Soc. , vol.12 , pp. 340-403
  • 34
    • 0007364508 scopus 로고
    • The structure of the groups of automorphisms of a homogeneous convex cone
    • _ (1965). The structure of the groups of automorphisms of a homogeneous convex cone. Trans. Moscow Math. Soc. 13 63-93.
    • (1965) Trans. Moscow Math. Soc. , vol.13 , pp. 63-93


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.