메뉴 건너뛰기




Volumn 24, Issue 4-5, 2009, Pages 761-779

GloptiPoly 3: Moments, optimization and semidefinite programming

Author keywords

Global optimization; Moments; Polynomials; Semidefinite programming

Indexed keywords

MOMENTS; SEMIDEFINITE PROGRAMMING;

EID: 68949115889     PISSN: 10556788     EISSN: 10294937     Source Type: Journal    
DOI: 10.1080/10556780802699201     Document Type: Article
Times cited : (537)

References (14)
  • 2
    • 0003292618 scopus 로고
    • Some questions in the theory of moments
    • American Mathematical Society, Providence, RI
    • N.I. Akhiezer and M.G. Krein, Some questions in the theory of moments, vol.2, Translations of Mathematical Monographs, American Mathematical Society, Providence, RI (1962).
    • (1962) Translations of Mathematical Monographs , vol.2
    • Akhiezer, N.I.1    Krein, M.G.2
  • 3
    • 2542587541 scopus 로고    scopus 로고
    • GloptiPoly: Global optimization over polynomials with Matlab and SeDuMi
    • D. Henrion and J.B. Lasserre, GloptiPoly: global optimization over polynomials with Matlab and SeDuMi, ACM Trans. Math. Software 29(2) (2003), pp. 165-194.
    • (2003) ACM Trans. Math. Software , vol.29 , Issue.2 , pp. 165-194
    • Henrion, D.1    Lasserre, J.B.2
  • 4
    • 0242712458 scopus 로고    scopus 로고
    • D. Henrion and J.B. Lasserre, Solving global optimization problems over polynomials with GloptiPoly 2.1, in Global Optimization and Constraint Satisfaction, C. Bliek, C. Jermann, and A. Neumaier, eds., Lecture Notes on Computer Science, 2861, Springer, Berlin, 2003, pp. 45-58.
    • D. Henrion and J.B. Lasserre, Solving global optimization problems over polynomials with GloptiPoly 2.1, in Global Optimization and Constraint Satisfaction, C. Bliek, C. Jermann, and A. Neumaier, eds., Lecture Notes on Computer Science, vol. 2861, Springer, Berlin, 2003, pp. 45-58.
  • 5
    • 29144520191 scopus 로고    scopus 로고
    • Global optimization of rational functions: A semidefinite programming approach
    • D. Jibetean and E. de Klerk, Global optimization of rational functions: a semidefinite programming approach, Math. Program. 106 (2006), pp. 93-109.
    • (2006) Math. Program , vol.106 , pp. 93-109
    • Jibetean, D.1    de Klerk, E.2
  • 6
    • 0003372433 scopus 로고
    • Moments in mathematics
    • H. J. Landau, ed, American Mathematical Society, Providence, RI
    • H.J. Landau, Moments in mathematics, in Proceedings of Symposium on Applied Mathematics 37, H. J. Landau, ed., American Mathematical Society, Providence, RI, 1980.
    • (1980) Proceedings of Symposium on Applied Mathematics 37
    • Landau, H.J.1
  • 7
    • 0035238864 scopus 로고    scopus 로고
    • Global optimization with polynomials and the problem of moments
    • J.B. Lasserre, Global optimization with polynomials and the problem of moments, SIAM J. Optim. 11(3) (2001), pp. 796-817.
    • (2001) SIAM J. Optim , vol.11 , Issue.3 , pp. 796-817
    • Lasserre, J.B.1
  • 8
    • 34547492080 scopus 로고    scopus 로고
    • Convergent SDP relaxations in polynomial optimization with sparsity
    • J.B. Lasserre, Convergent SDP relaxations in polynomial optimization with sparsity, SIAM J. Optim. 17(3) (2006), pp. 822-843.
    • (2006) SIAM J. Optim , vol.17 , Issue.3 , pp. 822-843
    • Lasserre, J.B.1
  • 9
    • 34547470409 scopus 로고    scopus 로고
    • A semidefinite programming approach to the generalized problem of moments
    • J.B. Lasserre, A semidefinite programming approach to the generalized problem of moments, Math. Program. 112 (2008), pp. 65-92.
    • (2008) Math. Program , vol.112 , pp. 65-92
    • Lasserre, J.B.1
  • 10
    • 55549140522 scopus 로고    scopus 로고
    • Nonlinear optimal control via occupation measures and LMI relaxations
    • J.B. Lasserre, D. Henrion, C. Prieur, and E. Trélat, Nonlinear optimal control via occupation measures and LMI relaxations, SIAM J. Control Optim. 47(4) (2008), pp. 1643-1666.
    • (2008) SIAM J. Control Optim , vol.47 , Issue.4 , pp. 1643-1666
    • Lasserre, J.B.1    Henrion, D.2    Prieur, C.3    Trélat, E.4
  • 11
    • 67349148256 scopus 로고    scopus 로고
    • Sums of squares, moment matrices and optimization over polynomials
    • Emerging Applications of Algebraic Geometry, M. Putinar and S. Sullivant, eds, Springer, Berlin
    • M. Laurent, Sums of squares, moment matrices and optimization over polynomials, in Emerging Applications of Algebraic Geometry, M. Putinar and S. Sullivant, eds., IMAVolumes in Mathematics and its Applications, Vol. 149, Springer, Berlin, 2009, pp. 157-270.
    • (2009) IMAVolumes in Mathematics and its Applications , vol.149 , pp. 157-270
    • Laurent, M.1
  • 13
    • 68949141352 scopus 로고    scopus 로고
    • J.F. Sturm, SeDuMi version 1.1R3, 2006. Available at
    • J.F. Sturm, SeDuMi version 1.1R3, 2006. Available at http://sedumi.ie.lehigh.edu.
  • 14
    • 85121159258 scopus 로고    scopus 로고
    • H. Waki, S. Kim, M. Kojima, and M. Muramatsu, SparsePOP: a sparse semidefinite programming relaxation of polynomial optimization problems, ACM Trans. Math. Software 35(2) (2008), 15:1-15:13.
    • H. Waki, S. Kim, M. Kojima, and M. Muramatsu, SparsePOP: a sparse semidefinite programming relaxation of polynomial optimization problems, ACM Trans. Math. Software 35(2) (2008), 15:1-15:13.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.