메뉴 건너뛰기




Volumn 109, Issue 2-3, 2007, Pages 413-444

Erratum: On the solution of large-scale SDP problems by the modified barrier method using iterative solvers (Mathematical Programming (2007) 109 (413-444) DOI: 10.1007/s10107-006-0029-9);On the solution of large-scale SDP problems by the modified barrier method using iterative solvers

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT THEORY; ITERATIVE METHODS; MATRIX ALGEBRA; OPTIMIZATION; PROBLEM SOLVING; VECTORS;

EID: 33846697416     PISSN: 00255610     EISSN: 14364646     Source Type: Journal    
DOI: 10.1007/s10107-008-0250-9     Document Type: Erratum
Times cited : (47)

References (26)
  • 1
    • 0032327612 scopus 로고    scopus 로고
    • Primal-dual interior-point methods for semidefinite programming: Convergence rates, stability and numerical results
    • Alizadeh, F., Haeberly, J.P.A., Overton, M.L.: Primal-dual interior-point methods for semidefinite programming: convergence rates, stability and numerical results. SIAM I Optim. 8, 746-768 (1998)
    • (1998) SIAM I Optim , vol.8 , pp. 746-768
    • Alizadeh, F.1    Haeberly, J.P.A.2    Overton, M.L.3
  • 2
    • 0039772219 scopus 로고    scopus 로고
    • Solving large-scale sparse semidefinite programs for combinatorial optimization
    • Benson, S.J., Ye, Y., Zhang, X.: Solving large-scale sparse semidefinite programs for combinatorial optimization. SIAM I Optim. 10, 443-462 (2000)
    • (2000) SIAM I Optim , vol.10 , pp. 443-462
    • Benson, S.J.1    Ye, Y.2    Zhang, X.3
  • 3
    • 0033295839 scopus 로고    scopus 로고
    • Borchers, B.: SDPLIB 1.2, a library of semidefinite programming test problems. Optim. Methods Soft. 11 & 12, 683-690 (1999). Available at http://www.nmt.edu/~borchers/
    • Borchers, B.: SDPLIB 1.2, a library of semidefinite programming test problems. Optim. Methods Soft. 11 & 12, 683-690 (1999). Available at http://www.nmt.edu/~borchers/
  • 4
    • 1542337156 scopus 로고    scopus 로고
    • A nonlinear programming algorithm for solving semidefinite programs via low-rank factorization
    • Burer, S., Monteiro, R.: A nonlinear programming algorithm for solving semidefinite programs via low-rank factorization. Math. Prog. (Ser. B), 95(2), 329-357 (2003)
    • (2003) Math. Prog. (Ser. B) , vol.95 , Issue.2 , pp. 329-357
    • Burer, S.1    Monteiro, R.2
  • 5
    • 33846677919 scopus 로고    scopus 로고
    • Choi, C., Ye, Y.: Solving sparse semidefinite programs using the dual scaling algorithm with an iterative solver. In: Working Paper, Computational Optimization Laboratory, University of Iowa, Iowa City, IA (2000)
    • Choi, C., Ye, Y.: Solving sparse semidefinite programs using the dual scaling algorithm with an iterative solver. In: Working Paper, Computational Optimization Laboratory, University of Iowa, Iowa City, IA (2000)
  • 6
    • 28244496090 scopus 로고    scopus 로고
    • Benchmarking optimization software with performance proflies
    • Dolan, E.D., Moré, J.: Benchmarking optimization software with performance proflies. Math. Prog. 91, 201-213 (2002)
    • (2002) Math. Prog , vol.91 , pp. 201-213
    • Dolan, E.D.1    Moré, J.2
  • 7
    • 0000609227 scopus 로고    scopus 로고
    • Exploiting sparsity in primal-dual interior-point method for semidefinite programming
    • Fujisawa, K., Kojima, M., Nakata, K.: Exploiting sparsity in primal-dual interior-point method for semidefinite programming. Math. Prog. 79, 235-253 (1997)
    • (1997) Math. Prog , vol.79 , pp. 235-253
    • Fujisawa, K.1    Kojima, M.2    Nakata, K.3
  • 8
    • 0036435101 scopus 로고    scopus 로고
    • Lagrangian dual interior-point methods for semidefinite programs
    • Fukuda, M., Kojima, M., Shida, M.: Lagrangian dual interior-point methods for semidefinite programs. SIAM J. Optim. 12, 1007-1031 (2002)
    • (2002) SIAM J. Optim , vol.12 , pp. 1007-1031
    • Fukuda, M.1    Kojima, M.2    Shida, M.3
  • 11
    • 33846695982 scopus 로고    scopus 로고
    • A nonlinear SDP algorithm for static output feedback problems in COMPlib
    • No. 04508, LAAS, Toulouse
    • Kočvara, M., Leibfritz, F., Stingl, M., Henrion, D.: A nonlinear SDP algorithm for static output feedback problems in COMPlib. LAAS-CNRS Research Report No. 04508, LAAS, Toulouse (2004)
    • (2004) LAAS-CNRS Research Report
    • Kočvara, M.1    Leibfritz, F.2    Stingl, M.3    Henrion, D.4
  • 12
    • 0041844993 scopus 로고    scopus 로고
    • PENNON - a code for convex nonlinear and semidefinite programming
    • Kočvara, M., Stingl, M.: PENNON - a code for convex nonlinear and semidefinite programming. Optim. Methods Softw. 18, 317-333 (2003)
    • (2003) Optim. Methods Softw , vol.18 , pp. 317-333
    • Kočvara, M.1    Stingl, M.2
  • 13
    • 6344245936 scopus 로고    scopus 로고
    • Solving nonconvex SDP problems of structural optimization with stability control
    • Kočvara, M., Stingl, M.: Solving nonconvex SDP problems of structural optimization with stability control. Optim. Methods Softw. 19, 595-609 (2004)
    • (2004) Optim. Methods Softw , vol.19 , pp. 595-609
    • Kočvara, M.1    Stingl, M.2
  • 14
    • 0042185149 scopus 로고    scopus 로고
    • An incomplete cholesky factorization for dense matrices
    • Lin, C.J., Saigal, R.: An incomplete cholesky factorization for dense matrices. BIT 40, 536-558 (2000)
    • (2000) BIT , vol.40 , pp. 536-558
    • Lin, C.J.1    Saigal, R.2
  • 15
    • 33846677593 scopus 로고    scopus 로고
    • Mittelmann, H.: Benchmarks for Optimization Software; as of 26 November 2005. Available at http://plato.la.asu.edu/bench.html
    • Mittelmann, H.: Benchmarks for Optimization Software; as of 26 November 2005. Available at http://plato.la.asu.edu/bench.html
  • 16
    • 3142688043 scopus 로고    scopus 로고
    • An independent benchmarking of SDP and SOCP solvers
    • Mittelmann, H.D.: An independent benchmarking of SDP and SOCP solvers. Math. Prog. 95, 407-430 (2003)
    • (2003) Math. Prog , vol.95 , pp. 407-430
    • Mittelmann, H.D.1
  • 17
    • 0031285899 scopus 로고    scopus 로고
    • Primal-dual path-following algorithms for semidefinite programming
    • Monteiro, R.D.C.: Primal-dual path-following algorithms for semidefinite programming. SIAM J. Optim. 7, 663-678 (1997)
    • (1997) SIAM J. Optim , vol.7 , pp. 663-678
    • Monteiro, R.D.C.1
  • 18
    • 0034345411 scopus 로고    scopus 로고
    • Automatic preconditioning by limited memory quasi-Newton updating
    • Morales, J.L., Nocedal, J.: Automatic preconditioning by limited memory quasi-Newton updating. SIAM J. Optim. 10, 1079-1096 (2000)
    • (2000) SIAM J. Optim , vol.10 , pp. 1079-1096
    • Morales, J.L.1    Nocedal, J.2
  • 20
    • 34249830808 scopus 로고
    • Modified barrier functions: Theory and methods
    • Polyak, R.: Modified barrier functions: Theory and methods. Math. Prog. 54, 177-222 (1992)
    • (1992) Math. Prog , vol.54 , pp. 177-222
    • Polyak, R.1
  • 21
    • 33846668339 scopus 로고    scopus 로고
    • Stingl, M.: On the solution of nonlinear semidefinite programs by augmented Lagrangian methods. Ph.D. Thesis, Institute of Applied Mathematics II, Friedrich-Alexander University of Erlangen-Nuremberg (2005) (submitted)
    • Stingl, M.: On the solution of nonlinear semidefinite programs by augmented Lagrangian methods. Ph.D. Thesis, Institute of Applied Mathematics II, Friedrich-Alexander University of Erlangen-Nuremberg (2005) (submitted)
  • 22
    • 33846700935 scopus 로고    scopus 로고
    • Primal-dual interior point approach to semidefinite programming. Ph.D. Thesis, Tinbergen Institute Research Series Thesis Publishers, Amsterdam, The Netherlands , Available at
    • Sturm, J.: Primal-dual interior point approach to semidefinite programming. Ph.D. Thesis, Tinbergen Institute Research Series vol. 156, Thesis Publishers, Amsterdam, The Netherlands (1997). Available at http://members. tripodnet.nl/SeDuMi/sturm/papers/ thesisSTURM.ps.gz
    • (1997) , vol.156
    • Sturm, J.1
  • 23
    • 4043058006 scopus 로고    scopus 로고
    • Solving large scale semidefinite programs via an iterative solver on the augmented systems
    • Toh, K.C.: Solving large scale semidefinite programs via an iterative solver on the augmented systems. SIAM J. Optim. 14, 670-698 (2003)
    • (2003) SIAM J. Optim , vol.14 , pp. 670-698
    • Toh, K.C.1
  • 24
    • 0036361611 scopus 로고    scopus 로고
    • Solving some large scale semidefinite programs via the conjugate residual method
    • Toh, K.C., Kojima, M.: Solving some large scale semidefinite programs via the conjugate residual method. SIAM J. Optim. 12, 669-691 (2002)
    • (2002) SIAM J. Optim , vol.12 , pp. 669-691
    • Toh, K.C.1    Kojima, M.2
  • 26
    • 0036533068 scopus 로고    scopus 로고
    • Incomplete orthogonalization preconditioners for solving large and dense linear systems which arise from semidefinite programming
    • Zhang, S.L., Nakata, K., Kojima, M.: Incomplete orthogonalization preconditioners for solving large and dense linear systems which arise from semidefinite programming. Appl. Numer. Math. 41, 235-245 (2002)
    • (2002) Appl. Numer. Math , vol.41 , pp. 235-245
    • Zhang, S.L.1    Nakata, K.2    Kojima, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.