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Volumn 7, Issue 3, 1997, Pages 663-678

Primal-dual path-following algorithms for semidefinite programming

Author keywords

Interior point methods; Path following methods; Polynomial complexity; Primal dual algorithms; Semidefinite programming

Indexed keywords


EID: 0031285899     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1052623495293056     Document Type: Article
Times cited : (242)

References (21)
  • 2
    • 0003169116 scopus 로고
    • Interior point methods in semidefinite programming with applications to combinatorial optimization
    • F. ALIZADEH, Interior point methods in semidefinite programming with applications to combinatorial optimization, SIAM J. Optim. 5 (1995), pp. 13-51.
    • (1995) SIAM J. Optim. , vol.5 , pp. 13-51
    • Alizadeh, F.1
  • 3
    • 0003459680 scopus 로고
    • Primal-dual interior-point methods for semidefinite programming
    • manuscript. Ann Arbor, MI
    • F. ALIZADEH, J.-P. A. HAEBERLY, AND M. L. OVERTON, Primal-Dual Interior-Point Methods for Semidefinite Programming, manuscript. Presented at the Math Programming Symposium, Ann Arbor, MI, 1994.
    • (1994) Math Programming Symposium
    • Alizadeh, F.1    Haeberly, J.-P.A.2    Overton, M.L.3
  • 8
    • 0027656654 scopus 로고
    • An interior-point method for minimizing the maximum eigenvalue of a linear combination of matrices
    • F. JARRE, An interior-point method for minimizing the maximum eigenvalue of a linear combination of matrices, SIAM J. Optim., 31 (1993), pp. 1360-1377.
    • (1993) SIAM J. Optim. , vol.31 , pp. 1360-1377
    • Jarre, F.1
  • 9
    • 0024665751 scopus 로고
    • A polynomial-time algorithm for a class of linear complementarity problems
    • M. KOJIMA, S. MIZUNO, AND A. YOSHISE, A polynomial-time algorithm for a class of linear complementarity problems, Math. Programming, 44 (1989), pp. 1-26.
    • (1989) Math. Programming , vol.44 , pp. 1-26
    • Kojima, M.1    Mizuno, S.2    Yoshise, A.3
  • 11
    • 0031542833 scopus 로고    scopus 로고
    • Interior-point methods for the monotone semidefinite linear complementarity problem in symmetric matrices
    • M. KOJIMA, S. SHINDOH, AND S. HARA, Interior-point methods for the monotone semidefinite linear complementarity problem in symmetric matrices, SIAM J. Optim., 7 (1997). pp. 86-125.
    • (1997) SIAM J. Optim. , vol.7 , pp. 86-125
    • Kojima, M.1    Shindoh, S.2    Hara, S.3
  • 12
    • 0024665752 scopus 로고
    • Interior path-following primal-dual algorithms. Part I: Linear programming
    • R. D. C. MONTEIRO AND I. ADLER, Interior path-following primal-dual algorithms. Part I: Linear programming, Math. Programming, 44 (1989), pp. 27-41.
    • (1989) Math. Programming , vol.44 , pp. 27-41
    • Monteiro, R.D.C.1    Adler, I.2
  • 13
    • 0024665753 scopus 로고
    • Interior path-following primal-dual algorithms. Part II: Convex quadratic programming
    • R. D. C. MONTEIRO AND I. ADLER, Interior path-following primal-dual algorithms. Part II: Convex quadratic programming, Math. Programming, 44 (1989), pp. 43-66.
    • (1989) Math. Programming , vol.44 , pp. 43-66
    • Monteiro, R.D.C.1    Adler, I.2
  • 14
    • 0010831555 scopus 로고
    • A general approach to the design of optimal methods for smooth convex functions minimization
    • (in Russian)
    • Y. E. NESTEROV AND A. S. NEMIROVSKII, A general approach to the design of optimal methods for smooth convex functions minimization, Ekonomika i Matem. Metody, 24 (1988), pp. 509-517 (in Russian).
    • (1988) Ekonomika i Matem. Metody , vol.24 , pp. 509-517
    • Nesterov, Y.E.1    Nemirovskii, A.S.2
  • 18
    • 0010763670 scopus 로고
    • Technical report 1125, School of Operations Research and Industrial Engineering, Cornell University, Ithaca, NY
    • Y. E. NESTEROV AND M. TODD, Primal-Dual Interior-Point Methods for Self-Scaled Cones, Technical report 1125, School of Operations Research and Industrial Engineering, Cornell University, Ithaca, NY, 1995.
    • (1995) Primal-dual Interior-point Methods for Self-scaled Cones
    • Nesterov, Y.E.1    Todd, M.2
  • 19
    • 0031073753 scopus 로고    scopus 로고
    • Self-scaled barriers and interior-point methods for convex programming
    • Y. E. NESTEROV AND M. TODD, Self-scaled barriers and interior-point methods for convex programming, Math. Oper. Res., 22 (1997), pp. 1-42.
    • (1997) Math. Oper. Res. , vol.22 , pp. 1-42
    • Nesterov, Y.E.1    Todd, M.2
  • 20
    • 0029338589 scopus 로고
    • A primal-dual potential reduction method for problems involving matrix inequalities
    • L. VANDENBERGHE AND S. BOYD, A primal-dual potential reduction method for problems involving matrix inequalities, Math. Programming, 69 (1995), pp. 205-236.
    • (1995) Math. Programming , vol.69 , pp. 205-236
    • Vandenberghe, L.1    Boyd, S.2
  • 21
    • 0025445807 scopus 로고
    • A class of protective transformations for linear programming
    • Y. YE, A class of protective transformations for linear programming, SIAM J. Comput., 19 (1990), pp. 457-466.
    • (1990) SIAM J. Comput. , vol.19 , pp. 457-466
    • Ye, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.